Spatial chaos in a fourth-order nonlinear parabolic equation

DOI10.1016/S0375-9601(01)00532-1zbMath0972.35048OpenAlexW2060812972MaRDI QIDQ5945420

Sergio A. Albeverio, I. L. Nizhnik

Publication date: 10 October 2001

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(01)00532-1

zbMATH Keywords

boundary stationary solutionsFisher-Kolmogorov equationspatial entropy

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Higher-order parabolic equations (35K25)

Related Items (9)

Differential equations with bistable nonlinearity ⋮ CONTROLLING CHAOS TO A CLASS OF PDEs BY APPLYING INVARIANT MANIFOLD AND STRUCTURE STABILITY THEORY ⋮ Periodic solutions of second-order differential equations with discontinuous nonlinearity ⋮ Energy-stable finite element method for a class of nonlinear fourth-order parabolic equations ⋮ Chaotifing a linear hyperbolic system of partial differential equations by means of nonlinear boundary reflection ⋮ Stable stationary solutions for a reaction-diffusion equation with a multi-stable nonlinearity ⋮ Kinklike solutions of fourth-order differential equations with a cubic bistable nonlinearity ⋮ Takagi-Sugeno fuzzy modeling and chaos control of partial differential systems ⋮ SPATIALLY CHAOTIC BIFURCATIONS OF AN ELASTIC WEB OF LINKS

Cites Work

• Multidimensional nonlinear diffusion arising in population genetics
• Propagating waves in discrete bistable reaction-diffusion systems
• Propagation and Its Failure in Coupled Systems of Discrete Excitable Cells
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