Hopf and Bautin bifurcations in a generalized Lengyel-Epstein system

DOI10.1007/S10910-019-01099-WzbMath1432.92121OpenAlexW3000577907WikidataQ126328956 ScholiaQ126328956MaRDI QIDQ2299072

Gamaliel Blé, Luis Miguel Valenzuela, David Guerrero, Manuel J. Falconi

Publication date: 20 February 2020

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-019-01099-w

zbMATH Keywords

Hopf bifurcationLengyel-Epstein systemBautin bifurcationoscillating reaction

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Bifurcation theory for ordinary differential equations (34C23) Global stability of solutions to ordinary differential equations (34D23)

Related Items (1)

Qualitative analysis and Hopf bifurcation of a generalized Lengyel-Epstein model

Cites Work

• Bifurcations of patterned solutions in the diffusive Lengyel-Epstein system of CIMA chemical reactions
• Hopf bifurcations in Lengyel-Epstein reaction-diffusion model with discrete time delay
• Bautin bifurcation for the Lengyel-Epstein system
• On the global asymptotic stability of solutions to a generalised Lengyel-Epstein system
• Elements of applied bifurcation theory.
• On the dynamics of the Lengyel-Epstein model with forcing intensity
• Hopf bifurcation analysis of a system of coupled delayed-differential equations
• On the stability and nonexistence of turing patterns for the generalized Lengyel-Epstein model
• Diffusion-induced instability in chemically reacting systems: Steady-state multiplicity, oscillation, and chaos

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