The existence of multiple equilibrium points in global attractors for some symmetric dynamical systems. II.

DOI10.1016/j.nonrwa.2017.01.002zbMath1364.35048OpenAlexW4247210360MaRDI QIDQ518723

Bo You, Jin Zhang, Cheng-Kui Zhong

Publication date: 30 March 2017

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.01.002

zbMATH Keywords

Lyapunov function\(Z_2\)-index

Mathematics Subject Classification ID

Attractors (35B41) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Nonlinear evolution equations (47J35)

Related Items (5)

Multiple equilibrium points in global attractors for some p-Laplacian equations ⋮ Multiple equilibrium points in global attractor for the weakly damped wave equation with critical exponent ⋮ Unnamed Item ⋮ Long-time behavior for a class of weighted equations with degeneracy ⋮ Existence of multiple equilibrium points in global attractor for damped wave equation

Cites Work

• Unnamed Item
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• On global attractor for nonlinear parabolic equations of \(m\)-Laplacian type
• Continuity of strong solutions of the reaction-diffusion equation in initial data
• Multiple equilibrium points in global attractor for the weakly damped wave equation with critical exponent
• The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction-diffusion equations
• The existence of multiple equilibrium points in a global attractor for some symmetric dynamical systems
• Regularity of embeddings of infinite-dimensional fractal sets into finite-dimensional spaces
• Finite‐dimensional attractors and exponential attractors for degenerate doubly nonlinear equations
• Finite- and infinite-dimensional attractors for porous media equations

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