オガワ　トシユキ   OGAWA Toshiyuki   小川　知之    所属   明治大学  総合数理学部    職種   専任教授
言語種別	日本語
発行・発表の年月	2012/12
形態種別	学術雑誌
査読	査読あり
標題	Oscillatory dynamics in a reaction-diffusion system in the presence of 0:1:2 resonance
執筆形態	共著(筆頭者以外)
掲載誌名	Networks and Heterogeneous Media
掲載区分	国外
巻・号・頁	7,893-926頁
著者・共著者	Toshiyuki Ogawa, Takashi Okuda
概要	Oscillatory dynamics in a reaction-diffusion system with spatially nonlocal effect under Neumann boundary conditions is studied. The system provides triply degenerate points for two spatially non-uniform modes and uniform one (zero mode). We focus our attention on the 0:1:2-mode interaction in the reaction-diffusion system. Using a normal form on the center manifold, we seek the equilibria and study the stability of them. Moreover, Hopf bifurcation phenomena is studied for each equilibrium which has a Hopf instability point. The numerical results to the chaotic dynamics are also shown. ? American Institute of Mathematical Sciences.
DOI	10.3934/nhm.2012.7.893
ISSN	15561801
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