Homoclinic orbit for the cubic-quintic Ginzburg-Landau equation

DOI10.1016/S0960-0779(98)00097-6zbMath0985.37019OpenAlexW2016998036MaRDI QIDQ1125129

Peng-cheng Xu, Qian-shun Chang

Publication date: 29 November 1999

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(98)00097-6

zbMATH Keywords

perturbationGinzburg-Landau equationhomoclinic orbits

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Geometric methods in ordinary differential equations (34A26) NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (4)

Dissipative Mayer's waves in fluid-filled viscoelastic tubes ⋮ Modulational instability in linearly coupled complex cubic-quintic Ginzburg-Landau equations ⋮ Theoretical and numerical analysis of the Landau-Khalatnikov model of ferroelectric hysteresis ⋮ Random attractors for a Ginzburg-Landau equation with additive noise

Cites Work

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• Slow time-periodic solutions of the Ginzburg-Landau equation
• Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
• Slow time-periodic solutions of the cubic-quintic Ginzburg-Landau equation
• Normally hyperbolic invariant manifolds in dynamical systems
• Dynamics of Perturbed Wavetrain Solutions to the Ginzburg-Landau Equation

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