Target Patterns and Horseshoes from a Perturbed Central-Force Problem: Some Temporally Periodic Solutions to Reaction-Diffusion Equations

DOI10.1002/sapm19816411zbMath0479.35052OpenAlexW2604354257MaRDI QIDQ3937078

Nancy Kopell, Louis N. Howard

Publication date: 1981

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm19816411

zbMATH Keywords

pattern formationreaction-diffusion equationtime periodic solutionBelousov-Zhabotinskij reaction

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Periodic solutions to PDEs (35B10) Second-order parabolic equations (35K10) Chemistry (92Exx)

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Cites Work

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• Geometric singular perturbation theory for ordinary differential equations
• Axi-Symmetric, Time-Periodic Solutions of Reaction-Diffusion Equations
• Plane Wave Solutions to Reaction-Diffusion Equations
• Slowly Varying Waves and Shock Structures in Reaction-Diffusion Equations
• Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations