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2009 Fiscal Year Final Research Report

Hamiltonian structure in the pattern selection problems of dissipative systems

Research Project

  • PDF
Project/Area Number 18540120
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionKobe University

Principal Investigator

KUWAMURA Masataka  Kobe University, 人間発達環境学研究科, 准教授 (30270333)

Co-Investigator(Kenkyū-buntansha) EI Shin-ichiro  九州大学, 数理学研究院, 教授 (30201362)
OGAWA Toshiyuki  大阪大学, 基礎工学研究科, 准教授 (80211811)
Project Period (FY) 2006 – 2009
Keywords散逸系 / ハミルトン系
Research Abstract

We studied the gradient/skew-gradient structure that enables us to apply the Hamiltonian formalism for studying the stability of stationary solutions in reaction-diffusion systems in various pattern formation problems. Moreover, we studied the stabilizing effect of dormancy of predators on the population dynamics of prey-predator systems.

  • Research Products

    (11 results)

All 2009 2008 2007 2006 Other

All Journal Article (5 results) (of which Peer Reviewed: 5 results) Presentation (5 results) Remarks (1 results)

  • [Journal Article] Mixed-mode oscillations and chaos in a prey-predator system with dormancy of predators2009

    • Author(s)
      M. Kuwamura, H. Chiba
    • Journal Title

      Chaos vol.19

      Pages: 043121, 1-10

    • Peer Reviewed
  • [Journal Article] minimum model of prey-predator system with dormancy of predators and the paradox of enrichment2009

    • Author(s)
      M. Kuwamura, T. Nakazawa, T. Ogawa
    • Journal Title

      Journal of Mathematical Biology vol.58

      Pages: 459-479

    • Peer Reviewed
  • [Journal Article] Deviation from the predicted wave number in a mode selection problem for the Turing patterns2008

    • Author(s)
      M. Kuwamura
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics vol.25

      Pages: 281-303

    • Peer Reviewed
  • [Journal Article] The Hamiltonian formalism in reaction-diffusion systems2007

    • Author(s)
      M. Kuwamura
    • Journal Title

      Advanced Studies in Pure Mathematics vol.47

      Pages: 635-646

    • Peer Reviewed
  • [Journal Article] Krein's formula for indefinite multipliers in linear periodic Hamiltonian systems2006

    • Author(s)
      M. Kuwamura, E. Yanagida
    • Journal Title

      Journal of Differential Equations vol.230

      Pages: 446-464

    • Peer Reviewed
  • [Presentation] Bursting oscillations and chaos in a prey-predator system with dormancy of predators2009

    • Author(s)
      桑村雅隆, 千葉逸人
    • Organizer
      第5回生物数学の理論とその応用
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      20090113-20090116
  • [Presentation] 捕食者の休眠を伴うprey-predator系について2009

    • Author(s)
      桑村雅隆
    • Organizer
      日本数学会2009年度秋期総合分科会応用数学分科会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-25
  • [Presentation] T. Adachi-Yamada, Mathematical modeling and experiments for the proliferation and differentiation of Drosophila intestinal stem cells2008

    • Author(s)
      M. Kuwamura, K. Maeda
    • Organizer
      The second China-Japan Colloquim of Mathematical Biology
    • Place of Presentation
      岡山大学
    • Year and Date
      20080804-20080807
  • [Presentation] 高橋大輔時間遅れを考慮したCO2排出規制戦略2007

    • Author(s)
      本田卓也, 細田一史, 桑村雅隆
    • Organizer
      新しい生物数学の研究交流プロジェクト
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      20070827-20070831
  • [Presentation] A mathematical model of prey-predator system with dormancy of predator2006

    • Author(s)
      仲澤剛史, 桑村雅隆, 霜田めぐみ
    • Organizer
      新しい生物数学の研究交流プロジェクト
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      20061211-20061215
  • [Remarks]

    • URL

      http://wwwmain.h.kobe-u.ac.jp/~kuwamura/kuwaj.html

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Published: 2011-06-18   Modified: 2016-04-21  

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