Multiple stability switches and Hopf bifurcations induced by the delay in a Lengyel-Epstein chemical reaction system

DOI10.1016/J.AMC.2020.125201zbMath1474.34591OpenAlexW3014368048MaRDI QIDQ2177903

Ye He, Cun-Hua Zhang

Publication date: 7 May 2020

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2020.125201

zbMATH Keywords

asymptotic stabilityHopf bifurcationnormal formLengyel-Epstein systemdiscrete delay

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Invariant manifolds of functional-differential equations (34K19) Stationary solutions of functional-differential equations (34K21)

Related Items (6)

Hopf Bifurcation in a Delayed Brusselator Model with Network Structure ⋮ Hopf bifurcation in a reaction-diffusion-advection model with two nonlocal delayed density-dependent feedback terms ⋮ Extended Hybrid Controller Design of Bifurcation in a Delayed Chemostat Model ⋮ A comparative study of the dynamics of a three-disk dynamo system with and without time delay ⋮ Dynamic analysis and Hopf bifurcation of a Lengyel-Epstein system with two delays ⋮ Bifurcation analysis in a diffusive logistic population model with two delayed density-dependent feedback terms

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