Homoclinic explosions in the complex Ginzburg-Landau equation

DOI10.1016/0167-2789(95)00047-8zbMath0884.35010OpenAlexW2103591798MaRDI QIDQ5917649

Benjamin P. Luce

Publication date: 19 June 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00047-8

zbMATH Keywords

two mode Galerkin truncation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Bifurcations in context of PDEs (35B32) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Cites Work

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• Low-dimensional dynamics for the complex Ginzburg-Landau equation
• Dimension of the attractors associated to the Ginzburg-Landau partial differential equation
• Two boundary value problems for the Ginzburg-Landau equation
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Dynamics of Perturbed Wavetrain Solutions to the Ginzburg-Landau Equation
• Low-dimensional behaviour in the complex Ginzburg-Landau equation
• Finite-dimensional models of the Ginsburg-Landau equation
• Invariant 2-tori in the time-dependent Ginzburg-Landau equation
• Rossby wave packet interactions

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