Symmetry and chaos in the complex Ginzburg-Landau equation - I. Reflectional symmetries

DOI10.1080/026811199281985zbMath0936.35025OpenAlexW2334170914MaRDI QIDQ4700091

Carlo R. Laing, Philip J. Aston

Publication date: 24 May 2000

Published in: Dynamics and Stability of Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/026811199281985

zbMATH Keywords

periodic boundary conditionsone space variablesymmetry-breaking perturbationscalculation of the dominant Lyapunov exponent

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Invariance and symmetry properties for PDEs on manifolds (58J70) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Symmetries of infinite-dimensional dissipative dynamical systems (37L20)

Related Items (4)

Numerical continuation of invariant solutions of the complex Ginzburg-Landau equation ⋮ Symmetry and chaos in the complex Ginzburg-Landau equation. II: Translational symmetries ⋮ Lyapunov analysis of strange pseudohyperbolic attractors: angles between tangent subspaces, local volume expansion and contraction ⋮ Chimeras in Two-Dimensional Domains: Heterogeneity and the Continuum Limit

Cites Work

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