Complex ordering and stochastic oscillations in a class of reaction- diffusion systems with small diffusion

DOI10.1007/BF02430645zbMath0809.35039MaRDI QIDQ1341677

I. B. Bokolishvily, Alexey B. Potapov, Sergey A. Kaschenko, George G. Malinetskii

Publication date: 16 February 1995

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

zbMATH Keywords

attractorsGinzburg-Landau equationquasinormal formssensitivity to small parameters

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Reaction-diffusion equations (35K57) Perturbations in context of PDEs (35B20)

Related Items (4)

Local dynamics of two-component parabolic systems of Schrödinger type ⋮ Local Dynamics of the Two-Component Singular Perturbed Systems of Parabolic Type ⋮ Travelling wave dynamics in a nonlinear interferometer with spatial field transformer in feedback ⋮ The simplest critical cases in the dynamics of nonlinear systems with small diffusion

Cites Work

• Chemical oscillations, waves, and turbulence
• Roads to turbulence in dissipative dynamical systems
• Low-dimensional behaviour in the complex Ginzburg-Landau equation
• NEW PROPERTIES OF QUASIPERIODIC SOLUTIONS OF THE COMPLEX GINZBURG-LANDAU EQUATION
• Deterministic Nonperiodic Flow
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