Study of oscillatory reaction-diffusion dynamics

2010 Fiscal Year Self-evaluation Report

• Project/Area Number: 20540116
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: Meiji University (2011); Osaka University (2008-2010)
• Principal Investigator: OGAWA Toshiyuki Osaka University, 大学院・基礎工学研究科, 准教授 (80211811)
• Project Period (FY): 2008 – 2011
• Keywords: ウェーブ不安定化 / 反応拡散系 / 3重退化分岐 / 擬似回転波

Research Abstract

多様な動的パターン形成の問題を詳細に理解するための大域分岐解析手法の確立と、それに基づく自己生成パターンの予測・制御を行う。時空間パターンをもつ反応拡散系の(1)大域分岐追跡アルゴリズムを構築し、(2)実験科学へのフィードバックを行い、(3)ウェーブ分岐まわりの普遍的な分岐構造の解明を目標にする。

Research Products

• [Journal Article] Stability and bifurcation of nonconstant solutions to a reaction-diffusion system with conservation of mass (2010)
  • Author(s): Y.Morita, T.Ogawa
  • Journal Title: Nonlinearity 23 Pages: 1387-1411
  • Peer Reviewed
• [Journal Article] A minimal model of prey-predator system with dormancy of predators and the paradox of enrichment (2009)
  • Author(s): M.Kuwamura, T.Nakazawa, T.Ogawa
  • Journal Title: J.Math.Biol. 58 Pages: 459-479
  • Peer Reviewed
• [Journal Article] Bifurcation analysis to Swift-Hohenberg equation with Steklov type boundary conditions (2009)
  • Author(s): T.Ogawa, T.Okuda
  • Journal Title: Discrete and Continuous Dynamical Systems-A 25(1) Pages: 273-297
  • Peer Reviewed
• [Presentation] Triple degeneracy on 3-component RD system (2010)
  • Author(s): 小川知之
  • Organizer: Reaction-Diffusion Systems : Experiments, Modeling and Analysis
  • Place of Presentation: パリ南大学(フランス)
  • Year and Date: 2010-10-21
• [Presentation] Rotating and standing waves on sphere (2010)
  • Author(s): 小川知之
  • Organizer: AIMS International Conference on Dynamical Systems
  • Place of Presentation: ドレスデン工科大学(ドイツ)
  • Year and Date: 2010-05-27
• [Presentation] 0(3)対称な反応拡散系でのウェーブ分岐 (2009)
  • Author(s): 小川知之
  • Organizer: 日本数学会2009年度秋季総合分科会
  • Place of Presentation: 大阪大学豊中キャンパス
  • Year and Date: 2009-09-27
• [Presentation] Quasi rotating waves to reaction-diffusion system (2008)
  • Author(s): 小川知之
  • Organizer: Singularities arising in Nonlinear Problems 2008
  • Place of Presentation: 京都関西セミナーハウス
  • Year and Date: 2008-12-02
• [Presentation] Wave Bifurcation in Coupled Oscillator (2008)
  • Author(s): 小川知之
  • Organizer: International workshop on collective behaviors in bio-and bio-related systems
  • Place of Presentation: 北海道大学電子科学研究所
  • Year and Date: 2008-09-03
• [Book] 非線形現象と微分方程式パターンダイナミクスの分岐解析 (2010)
  • Author(s): 小川知之
  • Total Pages: 100
  • Publisher: サイエンス社