Local bifurcations of running waves of weakly dissipative versions of the Ginzburg-Landau equation and its generalizations

DOI10.1007/s10958-012-1126-3zbMath1264.35028OpenAlexW2045687270MaRDI QIDQ1948640

D. A. Kulikov, Anatoly Kulikov

Publication date: 24 April 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-1126-3

zbMATH Keywords

invariant toriperiodic boundary value problemsperiodic running waves

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Ginzburg-Landau equations (35Q56)

Related Items (1)

Bifurcations in a boundary-value problem of nanoelectronics

Cites Work

• Local bifurcations of plane running waves for the generalized cubic Schrödinger equation
• On the possibility of soft and hard turbulence in the complex Ginzburg- Landau equation
• Cylindrical traveling waves for the generalized cubical Schrödinger equation
• Method of quasinormal forms in the problem of steady-state conditions for parabolic systems with small diffusion
• BIFURCATION OF INVARIANT TORI OF PARABOLIC SYSTEMS WITH SMALL DIFFUSION
• Dynamics of flexible slender cylinders in axial flow Part 1. Theory
• Stable and chaotic solutions of the complex Ginzburg-Landau equation with periodic boundary conditions
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