Analytical methods for dynamical processes on multiplex networks based on perturbation theory

• Project/Area Number: 15K12111
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Soft computing
• Research Institution: Kagoshima University
• Principal Investigator: HATA Shigefumi 鹿児島大学, 理工学域理学系, 准教授 (70735927)
• Project Period (FY): 2015-04-01 – 2018-03-31
• Project Status: Completed (Fiscal Year 2017)
• Budget Amount: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000); Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
• Keywords: 複雑ネットワーク / パターン形成

Outline of Final Research Achievements

In this project, diffusion-induced instability and pattern formation dynamics in reaction-diffusion systems on multiplex networks have been studied. During the project period, an analytical method evaluating linear stability of the uniform state in multiplex networks has been developed. A theoretical framework accounting for the localization of the Laplacian eigenvectors on random networks has been proposed.

Research Products

• [Int'l Joint Research] Pompeu Fabra University/University of Barcelona(Spain)
• [Journal Article] カオス符号化を用いた大規模MIMOにおけるBelief Propagation法による復号化の特性評価 (2017)
  • Author(s): 迫田和之，秦浩起，秦重史
  • Journal Title: 電子情報通信学会技術研究報告 Volume: 117 Pages: 99-103
• [Journal Article] Localization of Laplacian eigenvectors on random networks (2017)
  • Author(s): Shigefumi Hata and Hiroya Nakao
  • Journal Title: Scientific Reports Volume: 7 Issue: 1 Pages: 1121-1121
  • DOI: 10.1038/s41598-017-01010-0
  • NAID: 120006582596
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Pattern formation in multiplex networks (2015)
  • Author(s): N. E. Kouvaris, S. Hata, and A. Diaz-Guilera
  • Journal Title: Scientific Reports Volume: 5
  • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Localization of advection eigenvectors in flow networks (2015)
  • Author(s): S. Hata
  • Journal Title: Proceedings of 2015 International Symposium on Nonlinear Theory and its Applications Volume: 1
  • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
• [Presentation] Localization of Laplacian eigenvectors on random networks (2018)
  • Author(s): Shigefumi Hata and Hiroya Nakao
  • Organizer: Dynamics Days 2018
  • Int'l Joint Research
• [Presentation] カオス符号化を用いた大規模MIMOにおけるBelief Propagation法による復号化の特性評価 (2017)
  • Author(s): 迫田和之，秦浩起，秦重史
  • Organizer: 無線通信システム研究会
• [Presentation] Localization of Laplacian eigenvectors on random networks (2016)
  • Author(s): Shigefumi Hata
  • Organizer: DDAP9
  • Place of Presentation: Hong Kong Baptist University, Hong Kong, China
  • Int'l Joint Research
• [Presentation] Localization of Laplacian eigenvectors on random networks (2016)
  • Author(s): Shigefumi Hata
  • Organizer: Workshop "Interdisciplinary Applications of Nonlinear Science"
  • Place of Presentation: 鹿児島大学 郡元キャンパス（鹿児島県，鹿児島市）
  • Invited
• [Presentation] ネットワーク上のチューリング不安定化とその周辺 (2016)
  • Author(s): 秦重史
  • Organizer: RIMS研究会「集団ダイナミクスに現れる時空間パターンの数理」
  • Place of Presentation: 京都大学 吉田キャンパス（京都府，京都市）
• [Presentation] ネットワークラプラス行列の固有ベクトルが示す局在性の理論的説明 (2016)
  • Author(s): 秦重史，中尾裕也
  • Organizer: 日本物理学会２０１６年秋季大会
  • Place of Presentation: 金沢大学 角間キャンパス（石川県，金沢市）
• [Presentation] ネットワーク上の多変数反応拡散系におけるパターン形成 (2015)
  • Author(s): 秦重史
  • Organizer: ミニワークショップ”多変数反応拡散系の数理とその周辺”
  • Place of Presentation: 神戸大学 深江キャンパス（兵庫県，神戸市）
  • Year and Date: 2015-12-25
• [Presentation] Localization of advection eigenvectors in flow networks (2015)
  • Author(s): S. Hata
  • Organizer: International Symposium on Nonlinear Theory and its Applications
  • Place of Presentation: City University of Hong Kong, Hong Kong (China)
  • Year and Date: 2015-12-01
  • Int'l Joint Research / Invited
• [Presentation] 複雑ネットワーク上の移流による混合過程の解析 (2015)
  • Author(s): 秦重史，中尾裕也，A. S. Mikhailov
  • Organizer: 日本物理学会２０１５年秋季大会
  • Place of Presentation: 関西大学 千里山キャンパス（大阪府，吹田市）
  • Year and Date: 2015-09-16
• [Presentation] Advection equation for network-organized systems (2015)
  • Author(s): S. Hata, H. Nakao, and A. S. Mikhailov
  • Organizer: Dynamics Days EU
  • Place of Presentation: Exeter University, Exeter (United Kingdom)
  • Year and Date: 2015-09-06
  • Int'l Joint Research
• [Presentation] Feedback control of Turing instabilities in activator-inhibitor networks (2015)
  • Author(s): S. Hata, H. Nakao, and A. S. Mikhailov
  • Organizer: Miniworkshop on nonlinear dynamical systems and control
  • Place of Presentation: 東京工業大学 大岡山キャンパス（東京都，目黒区）
  • Year and Date: 2015-08-21
  • Int'l Joint Research