Symmetry and chaos in the complex Ginzburg-Landau equation. II: Translational symmetries

DOI10.1016/S0167-2789(99)00046-9zbMath0941.35102OpenAlexW2130714194WikidataQ127120434 ScholiaQ127120434MaRDI QIDQ1961673

Carlo R. Laing, Philip J. Aston

Publication date: 13 August 2000

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(99)00046-9

zbMATH Keywords

chaotic solutionscomplex Ginzburg-Landau equationblowout bifurcationisotypic componentformation of patterns

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Symmetries of infinite-dimensional dissipative dynamical systems (37L20)

Related Items (4)

Numerical continuation of invariant solutions of the complex Ginzburg-Landau equation ⋮ Lyapunov analysis of strange pseudohyperbolic attractors: angles between tangent subspaces, local volume expansion and contraction ⋮ Stable and chaotic solutions of the complex Ginzburg-Landau equation with periodic boundary conditions ⋮ Takagi-Sugeno fuzzy modeling and chaos control of partial differential systems

Cites Work

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• Analysis and Computation of Symmetry-Breaking Bifurcation and Scaling Laws Using Group-Theoretic Methods
• Long wavelength bifurcation of gravity waves on deep water
• The instabilities of gravity waves of finite amplitude in deep water II. Subharmonics
• SYMMETRY BREAKING BIFURCATIONS OF CHAOTIC ATTRACTORS
• Symmetry and chaos in the complex Ginzburg-Landau equation - I. Reflectional symmetries
• The disintegration of wave trains on deep water Part 1. Theory
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