Turing-Hopf bifurcation and multi-stable spatio-temporal patterns in the Lengyel-Epstein system

DOI10.1016/j.nonrwa.2019.03.013zbMath1454.35022OpenAlexW2939877253MaRDI QIDQ2283093

Weihua Jiang, Xianyong Chen

Publication date: 27 December 2019

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2019.03.013

zbMATH Keywords

normal formbifurcation diagramTuring-Hopf bifurcationLengyel-Epstein systemcodimension 2 bifurcationmulti-stable phenomenonspatial inhomogeneous periodic/quasi-periodic solution

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Chemical kinetics in thermodynamics and heat transfer (80A30) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Pattern formations in context of PDEs (35B36)

Related Items (7)

Turing–Hopf Bifurcation in Diffusive Gierer–Meinhardt Model ⋮ Turing–Hopf Bifurcation and Its Normal Form in a Diffusive Three-Species Food Chain System with Strong Allee Effect ⋮ Spatiotemporal Patterns in a Lengyel–Epstein Model Near a Turing–Hopf Singular Point ⋮ On complex dynamics in a Purkinje and a ventricular cardiac cell model ⋮ Bifurcations in Twinkling Patterns for the Lengyel–Epstein Reaction–Diffusion Model ⋮ Multiple spatiotemporal coexistence states and Turing-Hopf bifurcation in a Lotka-Volterra competition system with nonlocal delays ⋮ Spatiotemporal dynamics in a diffusive Holling-Tanner model near codimension-two bifurcations

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