Steady-state and Hopf bifurcations in the Langford ODE and PDE systems

DOI10.1016/j.nonrwa.2016.09.008zbMath1368.35029OpenAlexW2530471363MaRDI QIDQ332386

Xiaoni Wang, Gaihui Guo, Meihua Wei, Xiao-Lin Lin

Publication date: 8 November 2016

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2016.09.008

zbMATH Keywords

Hopf bifurcationLyapunov-Schmidt methodcenter manifold theoryimplicit function theoremsteady-state bifurcationnormal form method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items

Complex dynamics in a generalized Langford system ⋮ Langford model: dynamics, bifurcations, attractors ⋮ Stability and Hopf bifurcation in the general Langford system ⋮ Perturbations of the Lanford System Which Do Not Change the Reflecting Function ⋮ Unnamed Item ⋮ Completely integrable dynamical systems of Hopf-Langford type ⋮ Spatial Nonhomogeneous Periodic Solutions Induced by Nonlocal Prey Competition in a Diffusive Predator–Prey Model ⋮ Turing-Turing bifurcation and multi-stable patterns in a Gierer-Meinhardt system ⋮ Diffusion-induced spatio-temporal oscillations in an epidemic model with two delays

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