The Hopf bifurcation and spiral wave solution of the complex Ginzburg-Landau equation

DOI10.1016/S0960-0779(01)00156-4zbMath0997.35089MaRDI QIDQ1610078

Shida Liu, Shikuo Liu, Zuntao Fu, Qiang Zhao

Publication date: 18 August 2002

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

zbMATH Keywords

Hopf bifurcationheteroclinic orbittraveling wave solutionscomplex Ginzburg-Landau equation

Mathematics Subject Classification ID

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Perturbed method for sea-air oscillator model of interdecadal climate fluctuations ⋮ Spiral waves on the sphere for an alloy electrodeposition model ⋮ Numerical simulations of periodic travelling waves to a generalized Ginzburg-Landau equation ⋮ THE DYNAMICS OF SYSTEMS OF COMPLEX NONLINEAR OSCILLATORS: A REVIEW

Cites Work

• Multi-order exact solutions of the complex Ginzburg-Landau equation
• Amplitude equations for description of chemical reaction-diffusion systems
• Amplitude equations for reaction-diffusion systems with a Hopf bifurcation and slow real modes
• Spiral Waves in Reaction-Diffusion Equations
• Pattern formation outside of equilibrium
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