Hierarchical structures and robustness for the set of global solution branches of spatially localized patterns in dissipative systems

• Project/Area Number: 26247015
• Research Category: Grant-in-Aid for Scientific Research (A)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Foundations of mathematics/Applied mathematics
• Research Institution: Tohoku University
• Principal Investigator: Nishiura Yasumasa 東北大学, 材料科学高等研究所, 特任教授 (00131277)
• Co-Investigator(Kenkyū-buntansha): 長山 雅晴 北海道大学, 電子科学研究所, 教授 (20314289) ; 平岡 裕章 東北大学, 材料科学高等研究所, 教授 (10432709) ; 國府 寛司 京都大学, 理学研究科, 教授 (50202057) ; 上田 肇一 富山大学, 大学院理工学研究部(理学), 准教授 (00378960) ; 中田 聡 広島大学, 理学研究科, 教授 (50217741)
• Project Period (FY): 2014-04-01 – 2018-03-31
• Project Status: Completed (Fiscal Year 2017)
• Budget Amount: ¥31,590,000 (Direct Cost: ¥24,300,000、Indirect Cost: ¥7,290,000); Fiscal Year 2017: ¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000); Fiscal Year 2016: ¥7,410,000 (Direct Cost: ¥5,700,000、Indirect Cost: ¥1,710,000); Fiscal Year 2015: ¥7,410,000 (Direct Cost: ¥5,700,000、Indirect Cost: ¥1,710,000); Fiscal Year 2014: ¥11,830,000 (Direct Cost: ¥9,100,000、Indirect Cost: ¥2,730,000)
• Keywords: パターン形成 / 散逸構造 / パルス波 / 自己組織化 / トポロジー / ネットワーク / 反応拡散方程式 / 応用数学 / 大域分岐 / 空間局在解 / 応用拡散方程式 / 階層性 / レジリエンス

Outline of Final Research Achievements

Spatially localized patterns in dissipative systems form an important class of solutions in pattern formation theory. To understand the generation, annihilation and collision dynamics among those patterns is a big challenge. Global structure of all relevant solution branches forms a hierarchical structure and its connecting manner of stable/unstable manifolds gives an insight for dynamic behaviors of the above exotic dynamics. We applied the methodology to localized convective patterns of binary fluid and three component reaction diffusion systems of FitzHugh-Nagumo type.

Research Products

• [Int'l Joint Research] Queensland University of Technology(Australia)
• [Int'l Joint Research] Queensland University of Technology(Australia)
• [Journal Article] Characteristic responses of a 1,2-di-myristoyl- sn -glycero-3-phosphocholine molecular layer to polymeric surfactants at an air/water interface (2018)
  • Author(s): Nakata Satoshi、Nomura Mio、Seki Yota、Deguchi Ayano、Fukuhara Koichi、Denda Mitsuhiro、Kumazawa Noriyuki
  • Journal Title: Colloids and Surfaces A Volume: 546 Pages: 163-167
  • DOI: 10.1016/j.colsurfa.2018.02.066
  • Peer Reviewed
• [Journal Article] Characteristic responses of a 1,2-di-myristoyl-sn-glycero-3-phosphocholine molecular layer to polymeric surfactants at an air/water interface (2018)
  • Author(s): S. Nakata, M. Nomura, Y. Seki, A. Deguchi, K. Fukuhara, M. Denda, N. Kumazawa
  • Journal Title: Colloids and Surfaces A Volume: 546 Issue: 9 Pages: 163-167
  • DOI: 10.1021/acs.jpcb.7b11903
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Distinguishing the dynamic fingerprints of two- and three-dimensional chemical waves in microbeads (2018)
  • Author(s): M. Kuze, H. Kitahata, O. Steinbock, S. Nakata
  • Journal Title: The Journal of Physical Chemistry A Volume: 122 Issue: 8 Pages: 1967-1971
  • DOI: 10.1021/acs.jpca.7b12210
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Reciprocating Motion of a Self-Propelled Rotor Induced by Forced Halt and Release Operations (2018)
  • Author(s): Nakata Satoshi、Kayahara Katsuhiko、Yamamoto Hiroya、Skrobanska Paulina、Gorecki Jerzy、Awazu Akinori、Nishimori Hiraku、Kitahata Hiroyuki
  • Journal Title: The Journal of Physical Chemistry C Volume: 122 Issue: 6 Pages: 3482-3487
  • DOI: 10.1021/acs.jpcc.7b12089
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Evolution of Self-Propelled Objects: From the Viewpoint of Nonlinear Science (2018)
  • Author(s): Suematsu Nobuhiko J.、Nakata Satoshi
  • Journal Title: Chemistry - A European Journal Volume: 24 Issue: 24 Pages: 6308-6324
  • DOI: 10.1002/chem.201705171
  • Peer Reviewed / Open Access
• [Journal Article] Achilles’ heel of a traveling pulse subject to a local external stimulus (2017)
  • Author(s): K. Nishi, S. Suzuki, K. Kayahara, M. Kuze, H. Kitahata, S. Nakata, Y. Nishiura
  • Journal Title: Physical Review E Volume: 95 Issue: 6 Pages: 1-8
  • DOI: 10.1103/physreve.95.062209
  • Peer Reviewed
• [Journal Article] Theta-alpha EEG phase distributions in the frontal area for dissociation of visual and auditory working memory (2017)
  • Author(s): Masakazu Akiyama, Atsuchi Tero, Masahiro Kawasaki, Yasumasa Nishiura, Yoko Yamaguchi
  • Journal Title: Scientific Report Volume: 7 Issue: 1 Pages: 1-11
  • DOI: 10.1038/srep42776
  • NAID: 120007134960
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] A mathematical model for adaptive vein formation during exploratory migration of Physarum polycephalum: routing while scouting (2017)
  • Author(s): Schenz, D., Shima, Y., Kuroda, S., Nakagaki, T. and Ueda, K. I.
  • Journal Title: Journal of Physics D Volume: 50 Issue: 43 Pages: 434001-434001
  • DOI: 10.1088/1361-6463/aa88e9
  • Peer Reviewed
• [Journal Article] Behavioural differentiation induced by environmental variation when crossing a toxic zone in an amoeba (2017)
  • Author(s): Ueda, K. I. Itsuki Kunita, Kei-Ichi Ueda, Dai Akita, Shigeru Kuroda and Toshiyuki Nakagaki
  • Journal Title: Journal of Physics D Volume: 50 Issue: 35 Pages: 354002-354002
  • DOI: 10.1088/1361-6463/aa7a8e
  • Peer Reviewed
• [Journal Article] Collective behavior of camphor floats migrating on the water surface (2017)
  • Author(s): H. Nishimori, N. J. Suematsu, S. Nakata
  • Journal Title: Journal of the Physical Society of Japan Volume: 86 Issue: 10 Pages: 1-9
  • DOI: 10.7566/jpsj.86.101012
  • NAID: 210000134528
  • Peer Reviewed
• [Journal Article] Dynamic ordering in a swarm of floating droplets driven by solutal Marangoni effect (2017)
  • Author(s): Shinpei Tanaka, Satoshi Nakata and Takeshi Kano
  • Journal Title: J. Phys. Soc. Jpn Volume: 86 Issue: 10 Pages: 101004-101004
  • DOI: 10.7566/jpsj.86.101004
  • NAID: 210000134520
  • Peer Reviewed
• [Journal Article] Unidirectional motion of a camphor disk on water forced by interactions between surface camphor concentration and dynamically changing boundaries (2017)
  • Author(s): J. Gorecki, H. Kitahata, N. J. Suematsu, Y. Koyano, P. Skrobanska, M. Gryciuk, M. Malecki, T. Tanabe, H. Yamamoto, S. Nakata
  • Journal Title: Physical Chemistry Chemical Physics Volume: 19 Issue: 28 Pages: 18767-18772
  • DOI: 10.1039/c7cp03252h
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Characteristic isotherms for a mixed molecular layer composed of phospholipid and fatty acid (2017)
  • Author(s): S. Nakata, Y. Seki, M. Nomura, K. Fukuhara, M. Denda
  • Journal Title: Bulletin Chemical Society of Japan Volume: 90 Issue: 7 Pages: 801-806
  • DOI: 10.1246/bcsj.20170045
  • NAID: 130005773714
  • Peer Reviewed
• [Journal Article] Self-inverted reciprocation of an oil droplet on a surfactant solution (2017)
  • Author(s): Yusuke Satoh, Yoshimi Sogabe, Katsuhiko Kayahara, Shinpei Tanaka, Masaharu Nagayama, and Satoshi Nakata
  • Journal Title: Soft Matter Volume: 13 Issue: 18 Pages: 3422-3430
  • DOI: 10.1039/c7sm00252a
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Relaxation dynamics of the Marangoni convection roll structureinduced by camphor concentration gradient (2017)
  • Author(s): H. Kitahata, H. Yamamoto, M. Hata, Y. S. Ikura, S. Nakata
  • Journal Title: Colloids and Surfaces A Volume: 520 Pages: 436-441
  • DOI: 10.1016/j.colsurfa.2017.01.048
  • Peer Reviewed
• [Journal Article] Periodic oscillatory motion of a self-propelled motor driven by decomposition of H2O2 using catalase (2017)
  • Author(s): S. Nakata, M. Nomura, H. Yamamoto, S. Izumi, N. J. Suematsu, Y. Ikura, T. Amemiya
  • Journal Title: Angewandte Chemie International Edition Volume: 56 Issue: 3 Pages: 861-864
  • DOI: 10.1002/anie.201609971
  • Peer Reviewed / Open Access
• [Journal Article] A Skeleton of Collision Dynamics: Hierarchical Network Structure among Even-Symmetric Steady Pulses in Binary Fluid Convection (2016)
  • Author(s): Takeshi Watanabe, Makoto Iima, and Yasumasa Nishiura
  • Journal Title: SIAM J Volume: 15 Issue: 2 Pages: 789-806
  • DOI: 10.1137/15m1010968
  • Peer Reviewed / Open Access
• [Journal Article] Localized Patterns in a Three-Component FitzHugh-Nagumo Model Revisited Via an Action Functional (2016)
  • Author(s): Peter van Heijster, Chao-Nien Chen, Yasumasa Nishiura, Takashi Teramoto
  • Journal Title: Journal of Dynamics and Differential Equations Volume: - Issue: 2 Pages: 521-555
  • DOI: 10.1007/s10884-016-9557-z
  • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Florigen distribution determined by asource-sink balance explains the diversity of inflorescence structuresin Arabidopsis (2016)
  • Author(s): Akiko Satake, Motohide Seki, Makoto Iima, Takashi Teramoto, Yasumasa Nishiura
  • Journal Title: Journal of Theoretical Biology Volume: 395 Pages: 227-237
  • DOI: 10.1016/j.jtbi.2016.01.035
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Notch-mediated lateral inhibition regulates proneural wave propagation when combined with EGF-mediated reaction diffusion (2016)
  • Author(s): M. Sato, T. Yasugi, Y. Minami, T. Miura and M. Nagayama
  • Journal Title: PNAS Volume: 113 Issue: 35 Pages: 5153-5162
  • DOI: 10.1073/pnas.1602739113
  • Peer Reviewed / Open Access
• [Journal Article] Continuation of Point Clouds via Persistence Diagrams (2016)
  • Author(s): M. Gameiro, Y. Hiraoka, I. Obayashi
  • Journal Title: Physica D: Nonlinear Phenomena Volume: 334 Pages: 118-132
  • DOI: 10.1016/j.physd.2015.11.011
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] A study of rigorous ODE integrators for multi-scale set-oriented computations (2016)
  • Author(s): Tomoyuki Miyaji, Pawel Pilarczyk, Marcio Gameiro, Hiroshi Kokubu, and Konstantin Mischaikow
  • Journal Title: Applied Numerical Mathematics Volume: 107 Pages: 34-47
  • DOI: 10.1016/j.apnum.2016.04.005
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Selection of the Rotation Direction for a Camphor Disk Resulting from Chiral Asymmetry of a Water Chamber (2016)
  • Author(s): Satoshi Nakata, Hiroya Yamamoto, Yuki Koyano, Osamu Yamanaka, Yutaka Sumino, Nobuhiko J. Suematsu, Hiroyuki Kitahata, Paulina Skrobanska, Jerzy Gorecki
  • Journal Title: Journal of Physical Chemistry B Volume: 120 Issue: 34 Pages: 9166-9172
  • DOI: 10.1021/acs.jpcb.6b05427
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Oscillation of speed of a self-propelled Belousov-Zhabotinsky droplet (2016)
  • Author(s): N. J. Suematsu, Y. Mori, T. Amemiya, S. Nakata
  • Journal Title: The Journal of Physical Chemistry Letters Volume: 7 Issue: 17 Pages: 3424-3428
  • DOI: 10.1021/acs.jpclett.6b01539
  • Peer Reviewed
• [Journal Article] Self-oscillating gel accelerated while sensing the shape ofan aqueous surface (2016)
  • Author(s): M. Yoshii, H. Yamamoto, Y. Sumino, S. Nakata
  • Journal Title: Langmuir Volume: 32 Issue: 16 Pages: 3901-3906
  • DOI: 10.1021/acs.langmuir.6b00337
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Synchronization of Two Self-Oscillating Gels Based on Chemo-Mechanical Coupling (2016)
  • Author(s): Kentaro Ito, Takato Ezaki, Shogo Suzuki, Ryo Kobayashi, Yusuke Hara and Satoshi Nakata
  • Journal Title: The journal of physical chemistry B Volume: 120 Issue: 11 Pages: 2977-2983
  • DOI: 10.1021/acs.jpcb.6b00873
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Acceleration or deeleration of self-motion by the Marangoni effect (2016)
  • Author(s): Yui Matsuda, Nobuhiko J. Suematsu, Hiroyuki Kitahata, Yumihiko S.Ikura, Satoshi Nakata
  • Journal Title: Chemical Physics Letters Volume: 654 Pages: 92-96
  • DOI: 10.1016/j.cplett.2016.05.008
  • Peer Reviewed / Open Access
• [Journal Article] Mathematical model for self-propelled droplets driven by interfacial tension (2016)
  • Author(s): Ken H. Nagai, Kunihito Tachibana, Yuta Tobe, Masaki Kazama, Hiroyuki Kitahata, Seiro Omata, Masaharu
  • Journal Title: Journal of Chemical Physics Volume: 144 Issue: 11 Pages: 114707-114707
  • DOI: 10.1063/1.4943582
  • NAID: 120005981396
  • Peer Reviewed
• [Journal Article] Inducing a map on homology from a correspondence (2016)
  • Author(s): Shaun Harker, Hiroshi Kokubu, Konstantin Mischaikow, Pawel Pilarczyk
  • Journal Title: Proceedings of American Mathematical Society Volume: 144 Issue: 4 Pages: 1787-1801
  • DOI: 10.1090/proc/12812
  • Peer Reviewed / Int'l Joint Research
• [Journal Article] Global bifurcation sheet and diagrams of wave-pinning in a reaction-diffusion model for cell polarization (2015)
  • Author(s): Tatsuki Mori, Kousuke Kuto, Masaharu Nagayama, Tohru Tsujikawa and Shoji Yotsutani
  • Journal Title: Discrete and Continuous Dynamical Systems Volume: Special issue Pages: 861-877
  • DOI: 10.3934/proc.2015.0861
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Bifurcation phenomena of two self-propelled camphor disks on an annular field depending on system length (2015)
  • Author(s): K. Nishi, T. Ueda, M. Yoshii, Y. S. Ikura, H. Nishimori, S. Nakata and M. Nagayama
  • Journal Title: Phys.Rev.E Volume: 92 Issue: 2 Pages: 022910-022910
  • DOI: 10.1103/physreve.92.022910
  • Peer Reviewed
• [Journal Article] Reduced model from a reaction-diffusion system of collective motion of camphor boats (2015)
  • Author(s): S.-I. Ei, K. Ikeda, M. Nagayama and A. Tomoeda
  • Journal Title: Discrete and Continuous Dynamical Systems Series-S Volume: 8(5) Pages: 847-856
  • NAID: 120005853055
  • Peer Reviewed
• [Journal Article] パターンダイナミックスの新しい流れ (2015)
  • Author(s): 西浦廉政
  • Journal Title: The Society of Polymer Science Volume: 64 Pages: 641-644
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Annihilation of two interfaces in a hybrid system (2015)
  • Author(s): Shin-Ichiro Ei, Kei Nishi, Yasumasa Nishiura, Takashi Teramoto
  • Journal Title: American Institute of Mathematical Sciences Volume: 8 Issue: 5 Pages: 857-869
  • DOI: 10.3934/dcdss.2015.8.857
  • NAID: 120005649132
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] ネットワークと力学系 (2015)
  • Author(s): 上田 肇一
  • Journal Title: 数理科学8月号 Volume: 53(8) Pages: 40-46
• [Journal Article] Common formation mechanism of basin of attraction for bipedal walking models by saddle hyperbolicity and hybrid dynamics (2015)
  • Author(s): Ippei Obayashi, Shinya Aoi, Kazuo Tsuchiya, Hiroshi Kokubu
  • Journal Title: Japan Journal of Industrial and Applied Mathematics Volume: 32 Issue: 2 Pages: 315-332
  • DOI: 10.1007/s13160-015-0181-9
  • NAID: 210000186910
  • Peer Reviewed / Open Access
• [Journal Article] Bidirectional Wave Propagations can Improve Loop Finding Time (2015)
  • Author(s): Kei-Ichi Ueda, Yasumasa Nishiura, Yoko Yamaguchi and Keiichi Kitajo
  • Journal Title: Advances in Cognitive Neurodynamics Volume: 4 Pages: 277-282
  • DOI: 10.1007/978-94-017-9548-7_39
  • ISBN: 9789401795470, 9789401795487
  • Peer Reviewed
• [Journal Article] Multistate network model for the pathfinding problem with a self-recovery property (2015)
  • Author(s): Kei-Ichi Ueda, Masaaki Yadome, Yasumasa Nishiura
  • Journal Title: Neural Networks Volume: 62 Pages: 32-38
  • DOI: 10.1016/j.neunet.2014.08.008
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Response of a chemical wave to local pulse irradiation in the ruthenium-catalyzed Belousov-Zhabotinsky reaction (2015)
  • Author(s): Satoshi Nakata, Shogo Suzuki, Takato Ezaki, Hiroyuki Kitahata, Kei Nishi and Yasumasa Nishiura
  • Journal Title: Physical Chemistry Chemical Physics Volume: 17 Issue: 14 Pages: 9148-9152
  • DOI: 10.1039/c5cp00897b
  • Peer Reviewed
• [Journal Article] Physicochemical design and analysis of self-propelled objects that are characteristically sensitive to interfacial environments (2015)
  • Author(s): S. Nakata, M. Nagayama, H. Kitahata, N. J. Suematsu and T. Hasegawa
  • Journal Title: Physical Chemistry Chemical Physics Volume: 7 Issue: 16 Pages: 10326-10338
  • DOI: 10.1039/c5cp00541h
  • Peer Reviewed / Acknowledgement Compliant
• [Journal Article] Robust Pulse Generators in an Excitable Medium with Jump-Type Heterogeneity (2014)
  • Author(s): M.Yadome, Y.Nishiura, T.Teramoto
  • Journal Title: SIAM Journal on Applied Dynamical Systems Volume: 13 Issue: 3 Pages: 1168-1201
  • DOI: 10.1137/13091261x
  • Peer Reviewed
• [Journal Article] Appilcation of a center maifold theory to a reaction-diffusion system of collective motion of camphor disks and boats (2014)
  • Author(s): S.-I. Ei, K. Ikeda, M. Nagayama and A. Tomoeda
  • Journal Title: Mathematica Bohemica Volume: 139 Pages: 363-371
  • Peer Reviewed
• [Journal Article] Theoretical study on the translation and rotation of an elliptic camphor particle (2014)
  • Author(s): Keita Iida, Hiroyuki Kitahata, Masaharu Nagayama
  • Journal Title: physica D Volume: 272 Pages: 39-50
  • DOI: 10.1016/j.physd.2014.01.005
  • NAID: 120005457008
  • Peer Reviewed
• [Journal Article] 樟脳円盤の集団運動に対する計算機援用解析 (2014)
  • Author(s): 長山雅晴，若井健，小林康明，西慧，井倉 S. 弓彦，中田聡
  • Journal Title: 計算工学講演会論文集 Volume: 19
  • NAID: 40020116774
  • Peer Reviewed
• [Presentation] 自発的なパラメータ制御による集団振動子の同期現象 (2018)
  • Author(s): 上田肇一
  • Organizer: 日本数学会年会
• [Presentation] Mathematical modeling and analysis of the self-propelled disk and its collective motions (2017)
  • Author(s): M. Nagayama
  • Organizer: International Conference on” Reaction-diffusion system, theory and applications”
  • Place of Presentation: Meiji University, Tokyo, Japan
  • Year and Date: 2017-03-17
  • Int'l Joint Research / Invited
• [Presentation] Mathematical modeling and analysis of the self-propelled disk and its collective motions (2017)
  • Author(s): M. Nagayama
  • Organizer: Seminar
  • Place of Presentation: Universite Paris-Sud 11, Orsay, France
  • Year and Date: 2017-01-19
• [Presentation] Morse decomposition of dynamical systems from time-series data (2017)
  • Author(s): Hiroshi Kokubu
  • Organizer: International Conference "Mathematical Analysis on Nonlinear PDEs"
  • Place of Presentation: Tohoku University, Sendai, Japan
  • Year and Date: 2017-01-06
  • Int'l Joint Research / Invited
• [Presentation] マルチスケールパターンの周辺 (2017)
  • Author(s): 西浦廉政
  • Organizer: 武蔵野大学数理工学シンポジウム2017
  • Invited
• [Presentation] Dynamics of Localized Structures in Dissipative Systems (2017)
  • Author(s): Yasumasa Nishiura
  • Organizer: SIAM conference on Applications of Dynamical Systems
  • Int'l Joint Research
• [Presentation] Characteristic Motion of a Self-organized Object Based on Nonlinearity (2017)
  • Author(s): Satoshi Nakata
  • Organizer: Dynamics Days 2017
  • Int'l Joint Research / Invited
• [Presentation] Amoeboid Locomotion in Heterogenous Media (2017)
  • Author(s): Keiichi Ueda, Itsuki Kunita, Shigeru Kuroda, Dai Akita, Toshiyuki Nakagaki
  • Organizer: SIAM Conference on Applications of Dynamical Systems
  • Int'l Joint Research
• [Presentation] 自発的なパラメータ変化による同期現象維持 (2016)
  • Author(s): 上田肇一
  • Organizer: 2016年度応用数学合同研究集会
  • Place of Presentation: 龍谷大学瀬田キャンパス(滋賀)
  • Year and Date: 2016-12-16
• [Presentation] Spatio-temporal phenomena based on physico-chemical nonlinearity (2016)
  • Author(s): S. Nakata
  • Organizer: International Workshop Symposium on Nonlinear Sciences
  • Place of Presentation: AIST Waterfront Annex, Tokyo, Japan
  • Year and Date: 2016-09-27
  • Int'l Joint Research / Invited
• [Presentation] On the interplay between intrinsic and extrinsic instabilities of spatially localized patterns (2016)
  • Author(s): Yasumasa Nishiura
  • Organizer: RIMS 共同研究ワークショップ「現象を捉える数学」
  • Place of Presentation: 京都大学数理解析研究所（京都）
  • Year and Date: 2016-09-26
• [Presentation] Computer-assisted methods for detecting global structure of dynamics (2016)
  • Author(s): Hiroshi Kokubu
  • Organizer: SCAN 2016
  • Place of Presentation: Uppsala University, Uppsala, Sweden
  • Year and Date: 2016-09-26
  • Int'l Joint Research / Invited
• [Presentation] Pulse generators (2016)
  • Author(s): Yasumasa Nishiura, Yadome Masaaki, Teramoto Takashi
  • Organizer: 日本応用数理学会 2016年度年会
  • Place of Presentation: 北九州国際会議場（福岡）
  • Year and Date: 2016-09-13
• [Presentation] Mathematical analysis of the collective motion of camphor disks (2016)
  • Author(s): M.Nagayama
  • Organizer: International Workshop: Mathematics of Pattern Formation
  • Place of Presentation: Mathematical Research and Conference Center, Bedlewo, Poland
  • Year and Date: 2016-09-11
  • Int'l Joint Research / Invited
• [Presentation] Differentiation of behavioral type induced by environmental variations in an amoeba (2016)
  • Author(s): Itsuki Kunita, Kei-Ichi Ueda, Dai Akita, Shigeru Kuroda, Toshiyuki Nakagaki
  • Organizer: 2016年度日本数理生物学会
  • Place of Presentation: 九州大学伊都キャンパス（福岡）
  • Year and Date: 2016-09-08
• [Presentation] 振動型テールをもつ空間局在解のダイナミクス (2016)
  • Author(s): 西浦廉政
  • Organizer: 第５回岐阜数理科学研究会
  • Place of Presentation: 飛騨高山まちの博物館 （岐阜）
  • Year and Date: 2016-08-08
• [Presentation] Morse Decompositions of Regulatory Networks via determining nodes (2016)
  • Author(s): Hiroshi Kokubu
  • Organizer: International Conference "Patterns and Waves 2016"
  • Place of Presentation: Hokkaido Universiy, Sapporo, Japan
  • Year and Date: 2016-08-01
  • Int'l Joint Research / Invited
• [Presentation] Multistate network model for the path-finding problem (2016)
  • Author(s): Kei-Ichi Ueda, Masaaki Yadome, Yasumasa Nishiura
  • Organizer: International Conference "Patterns and Waves 2016"
  • Place of Presentation: Hokkaido Universiy, Sapporo, Japan
  • Year and Date: 2016-08-01
  • Int'l Joint Research / Invited
• [Presentation] On the interplay between intrinsic and extrinsic instabilities of spatially localized patterns (2016)
  • Author(s): Yasumasa Nishiura
  • Organizer: Patterns of Dynamics Conference in Honor of Bernold Fiedler
  • Place of Presentation: Free University of Berlin, Berlin, Germany
  • Year and Date: 2016-07-26
  • Int'l Joint Research / Invited
• [Presentation] Morse Decompositions of global dynamics from image data (2016)
  • Author(s): Hiroshi Kokubu
  • Organizer: Patterns of Dynamics, Conference in Honor of Bernold Fiedler
  • Place of Presentation: Free University of Berlin, Berlin, Germany
  • Year and Date: 2016-07-25
  • Int'l Joint Research / Invited
• [Presentation] Topological Computation Theory for Global Dynamics of Multi-Parameter Systems (2016)
  • Author(s): Hiroshi Kokubu
  • Organizer: International Conference on Difference Equations and Applications 2016
  • Place of Presentation: I-site Namba, Osaka Prefectural University, Osaka, Japan
  • Year and Date: 2016-07-25
  • Int'l Joint Research / Invited
• [Presentation] Open questions for the interplay between internal and external dynamics of localized patterns with oscillatory tails (2016)
  • Author(s): Yasumasa Nishiura
  • Organizer: Joint Australia-Japan workshop on dynamical systems with applications in life sciences
  • Place of Presentation: Queensland University of Technology, Brisbane, Australia
  • Year and Date: 2016-07-19
  • Int'l Joint Research
• [Presentation] Spatio-temporal behaviors of self-propelled motors characteristically responsive to the environments (2016)
  • Author(s): S. Nakata
  • Organizer: Gordon Research Conferences on Oscillations & Dynamic Instabilities in Chemical Systems
  • Place of Presentation: Vermont, USA
  • Year and Date: 2016-07-17
  • Int'l Joint Research / Invited
• [Presentation] Pulse Generators (2016)
  • Author(s): Yasumasa Nishiura
  • Organizer: The Fourth International Conference Nonlinear Waves - Theory and Applications
  • Place of Presentation: Tsinghua Univerisity, Beijing, China
  • Year and Date: 2016-06-27
• [Presentation] The collective motion of camphor papers in an annular water channel (2016)
  • Author(s): Masaharu Nagayama
  • Organizer: International Workshop in Industrial Mathematics
  • Place of Presentation: Campinas University, Sao Paulo, Brazil
  • Year and Date: 2016-05-05
  • Int'l Joint Research / Invited
• [Presentation] 非線形科学研究の動向（自走粒子運動について） (2016)
  • Author(s): 長山雅晴
  • Organizer: 非線形科学と時間学の交流ワークショップ
  • Place of Presentation: 山口大学 （常磐キャンパス）（山口県・宇部市）
  • Year and Date: 2016-03-25
• [Presentation] 力学系の時系列解析とモース分解 (2016)
  • Author(s): 國府寛司
  • Organizer: 研究集会「力学系と計算」（宇敷重廣教授退職記念研究集会）
  • Place of Presentation: 京都大学 (京都府、京都市）
  • Year and Date: 2016-03-24
  • Int'l Joint Research / Invited
• [Presentation] 現象の数理モデリングと反応拡散系 (2016)
  • Author(s): 長山雅晴
  • Organizer: 阿波セミナー2016「非線形現象の数理解析」
  • Place of Presentation: 徳島大学 （徳島県・徳島市）
  • Year and Date: 2016-03-09
• [Presentation] 体積保存反応拡散系に現れるスポット運動 (2016)
  • Author(s): 長山雅晴（招 待講演）
  • Organizer: アクティブマター研究会
  • Place of Presentation: 九州大学 （福岡県・博多市）
  • Year and Date: 2016-01-22
  • Invited
• [Presentation] Wave-particle duality in dissipative systems (2015)
  • Author(s): Yasumasa Nishiura
  • Organizer: The International Chemical Congress
  • Place of Presentation: Honolulu (USA)
  • Year and Date: 2015-12-18
  • Int'l Joint Research / Invited
• [Presentation] Proneural waveの数理モデリング (2015)
  • Author(s): 南佳晃，佐藤純，三浦岳，長山雅晴
  • Organizer: 応用数学合同研究集会
  • Place of Presentation: 龍谷大学（滋賀県・大津市）
  • Year and Date: 2015-12-17
• [Presentation] 樟脳の自律運動に対する流体の影響 (2015)
  • Author(s): 岡本守，長山雅晴，小林康明， 金子美奈，秋山正和
  • Organizer: 応用数学合同研究集会
  • Place of Presentation: 龍谷大学 （滋賀県・大津市）
  • Year and Date: 2015-12-17
• [Presentation] 長距離結合を持つ弱興奮系における振動ダイナミクス (2015)
  • Author(s): 小林康明，北 畑裕之，長山雅晴
  • Organizer: 応用数学合同研究集会
  • Place of Presentation: 龍谷大学 （滋賀県・大津市）
  • Year and Date: 2015-12-17
• [Presentation] Multistate network model for the pathfinding problem (2015)
  • Author(s): Kei-Ichi Ueda
  • Organizer: The 2nd Joint Workshop of A3 Foresight Program
  • Place of Presentation: Xiamen (China）
  • Year and Date: 2015-11-28
  • Int'l Joint Research / Invited
• [Presentation] Dynamical time-series analysis for Morse decomposition - an application to noisy meteorological data - (2015)
  • Author(s): Hiroshi Kokubu
  • Organizer: AMS Fall Eastern Sectional Meeting
  • Place of Presentation: New Brunswick (USA)
  • Year and Date: 2015-11-14
  • Int'l Joint Research / Invited
• [Presentation] Influence of convection ot self-motion of camphor (2015)
  • Author(s): Mamoru Okamoto, Masaharu Nagayama, Yasuaki Kobayashi, Mina Kaneko and Masakazu Akiyama
  • Organizer: The 16th RIES-Hokudai International Symposium "Jyutsu" (Poster Presentation)
  • Place of Presentation: Chateraise Gateaux Kingdom Sapporo (Hokkaido ,Sapporo)
  • Year and Date: 2015-11-10
  • Int'l Joint Research
• [Presentation] Mathematical modeling of proneural wave (2015)
  • Author(s): Yoshiaki Minami, Masaharu Nagayama, Makoto Sato, Takashi Miura
  • Organizer: The 16th RIES-Hokudai International Symposium "Jyutsu" (Poster Presentation)
  • Place of Presentation: Chateraise Gateaux Kingdom Sapporo (Hokkaido, Sapporo)
  • Year and Date: 2015-11-10
  • Int'l Joint Research
• [Presentation] Wave-particle duality in dissipative systems (2015)
  • Author(s): Yasumasa Nishiura
  • Organizer: International Conference on Mathematical Modeling and Applications 2015(ICMMA2015)
  • Place of Presentation: Meiji University (Tokyo)
  • Year and Date: 2015-10-29
  • Int'l Joint Research / Invited
• [Presentation] Differentiation of behavioral type induced by environmental variations in an amoeba (2015)
  • Author(s): Kei-Ichi Ueda
  • Organizer: International Conference on Mathematical Modeling and Applications
  • Place of Presentation: 明治大学 （東京）
  • Year and Date: 2015-10-28
  • Int'l Joint Research
• [Presentation] The collective motion of camphor papers in a annular water channel (2015)
  • Author(s): Masaharu Nagayama
  • Organizer: PDE seminar in Tongji University
  • Place of Presentation: Shanghai (Chaina)
  • Year and Date: 2015-10-26
  • Int'l Joint Research / Invited
• [Presentation] 円環水路上の２個の樟脳ろ紙がみせる運動の数理解析 (2015)
  • Author(s): 西 慧，若井健，上田知明，吉井美優，井倉弓彦，西森拓，中田聡，長山雅晴
  • Organizer: 日本応用数理学会年会
  • Place of Presentation: 金沢大学角間キャンパス （石川県・金沢市)
  • Year and Date: 2015-09-09
• [Presentation] 自己駆動系で作るリズムと秩序 (2015)
  • Author(s): 中田聡（広島大学），田 中晋平，長山雅晴
  • Organizer: 日本応用数理学会年会
  • Place of Presentation: 金沢大学角間キャンパス （石川県・金沢市）
  • Year and Date: 2015-09-09
• [Presentation] Proneural waveに対する数理モデル (2015)
  • Author(s): 南 佳晃，佐藤純，長山雅晴
  • Organizer: 応用数理研究会
  • Place of Presentation: 千里浜国民休暇村 （石川県・羽咋市）
  • Year and Date: 2015-08-19
• [Presentation] On the interplay between intrinsic and extrinsic instabilities of spatially localized patterns (2015)
  • Author(s): Yasumasa Nishiura
  • Organizer: 8th International Congress on Industrial and Applied Mathematics(ICIAM2015)
  • Place of Presentation: Beijing (China)
  • Year and Date: 2015-08-12
  • Int'l Joint Research / Invited
• [Presentation] An autonomous distributed system for the pathfinding problem with self-recovery property (2015)
  • Author(s): Kei-Ichi Ueda
  • Organizer: 8th International Congress on Industrial and Applied Mathematics
  • Place of Presentation: Beijing (China）
  • Year and Date: 2015-08-11
  • Int'l Joint Research
• [Presentation] Where is the Achilles heel of the BZ traveling pulse? (2015)
  • Author(s): Nishi, Kei, Yasumasa Nishiura
  • Organizer: 8th International Congress on Industrial and Applied Mathematics(ICIAM2015)
  • Place of Presentation: Beijing (China)
  • Year and Date: 2015-08-11
  • Int'l Joint Research / Invited
• [Presentation] Reaction-advection-diffusion model of the epidermis (2015)
  • Author(s): Yasuaki Kobayashi, Hiroyuki Kitahata, Masaharu Nagayama
  • Organizer: ICIAM 2015
  • Place of Presentation: Beijing (Chaina)
  • Year and Date: 2015-08-10
  • Int'l Joint Research
• [Presentation] The collective motion of camphor papers in an annular water channel (2015)
  • Author(s): Masaharu Nagayama, Ken Wakai, Kei Nishi, Yasuaki Kobayashi, Yumihiko Ikura, Satoshi Nakata
  • Organizer: ICIAM 2015
  • Place of Presentation: Beijing (Chaina)
  • Year and Date: 2015-08-10
  • Int'l Joint Research
• [Presentation] Mathematical modeling and genetic analysis of the wave of differentiation (2015)
  • Author(s): Makoto Sato, Takashi Miura, Masaharu Nagayama
  • Organizer: ICIAM 2015
  • Place of Presentation: Beijing (Chaina)
  • Year and Date: 2015-08-10
  • Int'l Joint Research
• [Presentation] Dynamical time-series analysis for Morse decomposition - an application to meteorological data with noise - (2015)
  • Author(s): Hiroshi Kokubu
  • Organizer: Workshop on Stochastic Dynamics
  • Place of Presentation: Beijing (China)
  • Year and Date: 2015-08-06
  • Int'l Joint Research / Invited
• [Presentation] How single-celled organisms respond to environmental changes?- From a dynamical system view point – (2015)
  • Author(s): Yasumasa Nishiura
  • Organizer: International Symposium on Application of Nonlinear Partial Differential Equations in Life Science
  • Place of Presentation: Tianjin (China)
  • Year and Date: 2015-08-05
  • Int'l Joint Research / Invited
• [Presentation] 樟脳粒子の集団運動に対する数理解析 (2015)
  • Author(s): 長山雅晴，小林康明，西慧， 井倉弓彦，中田聡
  • Organizer: 岐阜数理科学セミナー
  • Place of Presentation: 岐阜大学 （岐阜県・岐阜市）
  • Year and Date: 2015-07-15
• [Presentation] Morse decomposition of regulatory networks via its determining nodes (2015)
  • Author(s): Hiroshi Kokubu
  • Organizer: Mini-symposium "Dynamics of Chemical, Metabolic, and Gene Regulatory Networks"
  • Place of Presentation: Lyon (France)
  • Year and Date: 2015-07-06
  • Int'l Joint Research / Invited
• [Presentation] Dynamical time series analysis based on topological computation theory for global dynamics (2015)
  • Author(s): Hiroshi Kokubu
  • Organizer: 2015 International Conference on Nonlinear Economic Dynamics
  • Place of Presentation: Tama Campus, Chuo University (Tokyo)
  • Year and Date: 2015-06-25
  • Int'l Joint Research / Invited
• [Presentation] Morse decompositions of dynamical systems from time-series data (2015)
  • Author(s): Hiroshi Kokubu
  • Organizer: 2015 NCTS Workshop on Dynamical Systems
  • Place of Presentation: Taipei (Taiwan)
  • Year and Date: 2015-05-21
  • Int'l Joint Research / Invited
• [Presentation] A Continuous Model for the Pathfinding Problem with Self-Recovery Property (2015)
  • Author(s): Kei-Ichi Ueda
  • Organizer: SIAM Conference on Applications of Dynamical Systems
  • Place of Presentation: UT (USA)
  • Year and Date: 2015-05-18
  • Int'l Joint Research
• [Presentation] A strange behavior of the traveling pulses with oscillatory tails (2015)
  • Author(s): Yasumasa Nishiura
  • Organizer: Mini-workshop on “A crossroad of biology and mathematics -Modeling and omputation-
  • Place of Presentation: Hokkaido University (Hokkaido, Sapporo)
  • Year and Date: 2015-05-01
  • Int'l Joint Research / Invited
• [Presentation] The collective motion of camphor papers in a cylindrical channel (2015)
  • Author(s): Masaharu Nagayama*, Ken Wakai, Kei Nishi, Yasuaki Kobayashi, Yumihiko Ikura, Satoshi Nakata
  • Organizer: One-day Workshop on Applied Mathematics
  • Place of Presentation: Tamkang University, 台北（台湾）
  • Year and Date: 2015-03-05
• [Presentation] Various robustness concepts for global dynamics in applications (2015)
  • Author(s): Hiroshi Kokubu
  • Organizer: A3 joint Workshop on Fluid Dynamics and Material Science
  • Place of Presentation: Peking University （中国）
  • Year and Date: 2015-02-11 – 2015-02-13
• [Presentation] 人類存亡の危機を数学が救えるか？～数学を通して見る粘菌や蜂の賢い生き方～ (2015)
  • Author(s): 西浦 廉政
  • Organizer: 東北大学 サイエンスカフェ
  • Place of Presentation: せんだいメディアテーク（仙台市）
  • Year and Date: 2015-01-30
  • Invited
• [Presentation] 力学系の位相計算的時系列解析法と その気象学への応用の試み (2014)
  • Author(s): 國府寛司
  • Organizer: 研究集会「非線形現象の数理」 -流体力学・ 地球流体力学・ 気象学・ ウェーブレット解析・ 力学系-
  • Place of Presentation: 休暇村紀州加太（和歌山市）
  • Year and Date: 2014-12-26 – 2014-12-28
  • Invited
• [Presentation] 自走粒子系に現れる集団運動の数理解析 (2014)
  • Author(s): 長山雅晴*，若井健，西慧，小林康明，井倉 弓彦，中田聡
  • Organizer: 研究集会「非線形現象の数理」 -流体力学・ 地球流体力学・ 気象学・ ウェーブレット解析・ 力学系-
  • Place of Presentation: 休暇村紀州加太（和歌山市）
  • Year and Date: 2014-12-26
• [Presentation] 自己修復機能を有する自律分散システムとその経路探索問題および逆運動学への応用 (2014)
  • Author(s): 上田肇一
  • Organizer: 2014年度応用数学合同研究集会
  • Place of Presentation: 龍谷大学瀬田キャンパス（滋賀県）
  • Year and Date: 2014-12-20
• [Presentation] Topological-computation methods for global dynamics in multiparameter systems (2014)
  • Author(s): Hiroshi Kokubu
  • Organizer: 1st Joint Conference of A3 Foresight Program "Mathematics of Fluid Dynamics and Material Science"
  • Place of Presentation: International Convention Center 済州 (韓国）
  • Year and Date: 2014-11-21 – 2014-11-23
• [Presentation] Self-replication, self-recovery and network dynamics (2014)
  • Author(s): Y. Nishiura
  • Organizer: Japan-Korea Joint Worksop on Complex Communication Sciences(JKCCS’14)
  • Place of Presentation: Paradise Hotel, 釜山（韓国）
  • Year and Date: 2014-10-28
  • Invited
• [Presentation] 自己修復機能を有する経路探索システム (2014)
  • Author(s): 上田肇一
  • Organizer: 研究集会「富山解析セミナー2014」
  • Place of Presentation: 富山大学理学部（富山市）
  • Year and Date: 2014-10-11
• [Presentation] 自走粒子の集団運動に対する数理解析 (2014)
  • Author(s): 長山雅晴*，若井健，西慧，小林康明，井倉弓彦，中田聡
  • Organizer: 第３回明治非線形数理セミナー
  • Place of Presentation: 明治大学生田キャンパス（川崎市）
  • Year and Date: 2014-09-09
• [Presentation] 時空間ヘテロ環境下での局在パターンのダイナミクス (2014)
  • Author(s): 西浦 廉政
  • Organizer: ミニワークショップ「時空間ヘテロ環境におけるパルスダイナミクス」
  • Place of Presentation: 東京理科大学神楽坂キャンパス（東京都新宿区）
  • Year and Date: 2014-09-05
  • Invited
• [Presentation] Nonlinear dynamics in decision making process in amoeboid locomotion (2014)
  • Author(s): Keiichi Ueda
  • Organizer: JSMB/SMB 2014 Osaka
  • Place of Presentation: 大阪府立国際会議場（大阪市）
  • Year and Date: 2014-07-31
• [Presentation] 樟脳円盤の集団運動に対する数理解析 (2014)
  • Author(s): 長山雅晴*，若井健，西慧，小林康明，井倉弓彦，中田聡
  • Organizer: 北大MMC & 旭医大L&Mセミナー
  • Place of Presentation: 旭川医科大学（旭川市）
  • Year and Date: 2014-07-16
• [Presentation] Detecting Morse Decompositions of the Global Attractor of Regulatory Networks by Time Series Data (2014)
  • Author(s): 國府寛司
  • Organizer: 第５回「ハミルトン系とその周辺」研究集会
  • Place of Presentation: 金沢大学サテライトプラザ（金沢市）
  • Year and Date: 2014-05-29 – 2014-05-31
  • Invited
• [Presentation] Multi-State Network for Loop Searching System with Self-Recovery Property (2014)
  • Author(s): K.Ueda, M.Yadome, and Y. Nishiura*
  • Organizer: NCTS International Conference on Nonlinear Dynamics with Applications to Biology
  • Place of Presentation: National Center for Theoretical Sciences, 新竹（台湾）
  • Year and Date: 2014-05-29
  • Invited
• [Presentation] Detecting Morse Decompositions of the Global Attractor of Regulatory Networks by Time Series Data (2014)
  • Author(s): Hiroshi Kokubu
  • Organizer: 2014 ICIAM Scientific Workshop
  • Place of Presentation: Mathematical Bioscience Institute, Ohio State Univerity（アメリカ）
  • Year and Date: 2014-05-15 – 2014-05-16
• [Presentation] Multi-state network for loop searching system with self-recovery property (2014)
  • Author(s): K.Ueda, M.Yadome, and Y. Nishiura*
  • Organizer: Pattern Formation: mathematics and materials
  • Place of Presentation: Australian National University (オーストラリア）
  • Year and Date: 2014-04-30
  • Invited
• [Book] 数学セミナー 2015年2月号 通巻640号 (2015)
  • Author(s): 長山雅晴
  • Total Pages: 104
  • Publisher: 日本評論社
• [Remarks] researchmap
  • URL: http://researchmap.jp/ynishiura/
• [Funded Workshop] International Conference Patterns and Waves 2016 (2016)
  • Place of Presentation: Conference Hall, Hokkaido University, Japan
  • Year and Date: 2016-08-01