OGAWA Toshiyuki    Department   Undergraduate School  , School of Interdisciplinary Mathematical Sciences    Position   Professor
Language	English
Publication Date	2012
Type	Academic Journal
Title	Oscillatory dynamics in a reaction-diffusion system in the presence of 0:1:2 resonance
Contribution Type	Co-authored (other than first author)
Journal	Networks and Heterogeneous Media
Volume, Issue, Page	7(4),pp.893-926
Author and coauthor	T.Okuda
Details	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.