Stability and Bifurcation Analysis in a Diffusive Brusselator-Type System

DOI10.1142/S0218127416501194zbMath1343.35237MaRDI QIDQ3187969

Maoxin Liao, Q. R. Wang

Publication date: 5 September 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

diffusioninstabilityHopf bifurcationBrusselator-type system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Bifurcation theory for ordinary differential equations (34C23) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability of solutions to ordinary differential equations (34D20) Bifurcations in context of PDEs (35B32)

Related Items (11)

Local and global bifurcation of steady states to a general Brusselator model ⋮ Bifurcation behaviors of steady-state solution to a discrete general Brusselator model ⋮ Hopf Bifurcation in a Delayed Brusselator Model with Network Structure ⋮ Turing‐Turing and Turing‐Hopf bifurcations in a general diffusive Brusselator model ⋮ Hopf bifurcation and periodic solutions in a coupled Brusselator model of chemical reactions ⋮ High-Order Analysis of Canard Explosion in the Brusselator Equations ⋮ Period-1 Evolutions to Chaos in a Periodically Forced Brusselator ⋮ Spatial Nonhomogeneous Periodic Solutions Induced by Nonlocal Prey Competition in a Diffusive Predator–Prey Model ⋮ Hopf bifurcation analysis of a predator-prey model with Holling-II type functional response and a prey refuge ⋮ Dynamics in a delayed diffusive cell cycle model ⋮ Spatiotemporal complexity in a diffusive Brusselator model

Cites Work

• Approximate analytical solutions of the fractional-order Brusselator system using the polynomial least squares method
• Pattern formation in a general two-cell Brusselator model
• Pattern formation of a coupled two-cell Brusselator model
• Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
• On steady-state solutions of the Brusselator-type system
• Global dissipative dynamics of the extended Brusselator system
• Some global results for nonlinear eigenvalue problems
• Pattern formation in the Brusselator system
• STABILITY AND BIFURCATION ANALYSIS IN A DIFFUSIVE BRUSSELATOR SYSTEM WITH DELAYED FEEDBACK CONTROL

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