Oscillatory dynamics in a reaction-diffusion system in the presence of 0:1:2 resonance

DOI10.3934/NHM.2012.7.893zbMath1262.35012OpenAlexW2010182445MaRDI QIDQ1941649

Toshiyuki Ogawa, Takashi Okuda

Publication date: 21 March 2013

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2012.7.893

zbMATH Keywords

Hopf bifurcationNeumann boundary conditionsspatially nonlocal effecttriply degenerate point

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Resonance in context of PDEs (35B34) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

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Chaotic Dynamics in an Integro-Differential Reaction-Diffusion System in the Presence of 0:1:2 Resonance ⋮ Instability in the nebula model of compressive viscous gases

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