Singular perturbations approach to the limit cycle and global patterns in a nonlinear diffusion-reaction problem with autocatalysis and saturation law

DOI10.1063/1.524034zbMath0455.35107OpenAlexW2070398139MaRDI QIDQ3903426

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524034

zbMATH Keywords

stability limit cycle singular perturbations autocatalysis saturation law nonlinear diffusion-reaction problem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (9)

Spatiotemporal pattern formation of a diffusive bimolecular model with autocatalysis and saturation law ⋮ Asymptotic behavior and positive steady-state solutions of a reaction-diffusion model with autocatalysis and saturation law ⋮ Turing instability and formation of temporal patterns in a diffusive bimolecular model with saturation law ⋮ Steady-state and Hopf bifurcations in the Langford ODE and PDE systems ⋮ BIFURCATION ANALYSIS OF A DIFFUSIVE BIMOLECULAR MODEL WITH DELAYED FEEDBACK ⋮ Uniqueness, multiplicity and stability for positive solutions of a pair of reaction–diffusion equations ⋮ The existence of steady states for a bimolecular model with autocatalysis and saturation law ⋮ Turing instability and bifurcation analysis in a diffusive bimolecular system with delayed feedback ⋮ Spatiotemporal pattern formation and multiple bifurcations in a diffusive bimolecular model

Cites Work

Transient Behavior of Unstable Nonlinear Systems with Applications to the Bénard and Taylor Problems

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