Attractor bifurcation for the extended Fisher-Kolmogorov equation with periodic boundary condition

DOI10.1186/1687-2770-2013-169zbMath1295.35058OpenAlexW2123419359WikidataQ59301129 ScholiaQ59301129MaRDI QIDQ2251319

Qiang Zhang, Hong Luo

Publication date: 11 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-169

zbMATH Keywords

periodic boundary conditioncenter manifold

Mathematics Subject Classification ID

Attractors (35B41) Initial-boundary value problems for higher-order parabolic equations (35K35) Bifurcations in context of PDEs (35B32) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items (1)

Attractor bifurcation and phase transition for liquid \(^4\)He

Cites Work

• Regularity of global attractor for the fourth-order reaction-diffusion equation
• Dynamical bifurcation for the Kuramoto-Sivashinsky equation
• Uniqueness of the stationary wave for the extended Fisher-Kolmogorov equation
• Multitransition homoclinic and heteroclinic solutions of the extended Fisher-Kolmogorov equation
• The phase-plane picture for a class of fourth-order conservative differential equations
• Spatial Patterns Described by the Extended Fisher--Kolmogorov Equation: Periodic Solutions
• On the asymptotic positivity of solutions for the extended Fisher-Kolmogorov equation with nonlinear diffusion
• Periodic and homoclinic solutions of extended Fisher-Kolmogorov equations
• Existence and stability of traveling fronts in the extended Fisher-Kolmogorov equation.

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