Numerical study of a Lyapunov functional for the complex Ginzburg-Landau equation

DOI10.1016/0167-2789(96)00013-9zbMath1194.65124arXivcond-mat/9508115OpenAlexW3102160639MaRDI QIDQ992356

Emilio Hernández-García, Raúl Montagne, Maxi San Miguel

Publication date: 11 September 2010

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9508115

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Ginzburg-Landau equations (35Q56) Numerical methods for difference equations (65Q10)

Related Items (10)

The nonequilibrium potential today: a short review ⋮ Characterization of generators for multiresolution analyses with composite dilations ⋮ Dissipative or conservative finite-difference schemes for complex-valued nonlinear partial differential equations ⋮ VARIATIONAL FORMULATION FOR THE KPZ AND RELATED KINETIC EQUATIONS ⋮ Stability of oscillating hexagons in rotating convection ⋮ Dynamics of defects in the vector complex Ginzburg-Landau equation ⋮ Dynamic spectral analysis of phase turbulence ⋮ Stochastic resonance in spatially extended systems: the role of far from equilibrium potentials ⋮ Thermodynamic potentials for non-equilibrium systems ⋮ Numerical scheme for Swift-Hohenberg equation with strict implementation of Lyapunov functional.

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• Interaction of defects in two-dimensional systems
• Spatiotemporal intermittency regimes of the one-dimensional complex Ginzburg-Landau equation
• Pattern formation outside of equilibrium
• The disintegration of wave trains on deep water Part 1. Theory

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