On the global dynamics of the Lengyel-Epstein system

DOI10.1016/j.amc.2014.10.005zbMath1338.35221OpenAlexW2000923293MaRDI QIDQ298552

Benedetta Lisena

Publication date: 21 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.10.005

zbMATH Keywords

global asymptotic stabilitysteady stateLengyel-Epstein system

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Classical flows, reactions, etc. in chemistry (92E20) Initial value problems for second-order parabolic systems (35K45)

Related Items (12)

Some global results for the Degn-Harrison system with diffusion ⋮ On the dynamics of the Lengyel-Epstein model with forcing intensity ⋮ Unnamed Item ⋮ Bifurcations and pattern formation in a generalized Lengyel-Epstein reaction-diffusion model ⋮ Extended global asymptotic stability conditions for a generalized reaction-diffusion system ⋮ On the asymptotic stability of the time-fractional Lengyel-Epstein system ⋮ A generalized Degn-Harrison reaction-diffusion system: asymptotic stability and non-existence results ⋮ On the global asymptotic stability of solutions to a generalised Lengyel-Epstein system ⋮ The global existence and asymptotic stability of solutions for a reaction-diffusion system ⋮ Turing patterns, Lengyel–Epstein systems and Faber splines ⋮ The Lengyel–Epstein Reaction Diffusion System ⋮ Synchronization control in reaction-diffusion systems: application to Lengyel-Epstein system

Cites Work

• Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
• Global asymptotical behavior of the Lengyel-Epstein reaction-diffusion system
• Stability and periodic solutions of ordinary and functional differential equations
• Turing structures and stability for the 1-D Lengyel-Epstein system
• On a property of a generalized Kolmogorov population model
• Non-constant steady states for the Lengyel-Epstein system with the CIMA reaction
• Hopf bifurcation and Turing instability of 2-D Lengyel-Epstein system with reaction-diffusion terms
• Stability Properties of Solutions to Systems of Reaction-Diffusion Equations
• Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
• Turing patterns in the Lengyel-Epstein system for the CIMA reaction

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