Modulational stability of travelling waves in 2D anisotropic systems

DOI10.1007/s00332-007-9009-3zbMath1143.35335OpenAlexW2106597160MaRDI QIDQ2481580

Gerhard Dangelmayr, Iuliana Oprea

Publication date: 11 April 2008

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

Full work available at URL: https://doi.org/10.1007/s00332-007-9009-3

zbMATH Keywords

nonlinear wavesnematic liquid crystalsHopf bifurcationGinzburg-Landau systemamplitude expansionsanisotropic reaction diffusionbifurcations and instability

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear waves in solid mechanics (74J30) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Bifurcations in context of PDEs (35B32) Nonlinear evolution equations (47J35) Multiple scale methods for ordinary differential equations (34E13) Second-order parabolic systems (35K40)

Related Items (5)

Complex dynamics near a Hopf bifurcation with symmetry: A parameter study ⋮ A period doubling route to spatiotemporal chaos in a system of Ginzburg-Landau equations for nematic electroconvection ⋮ Dynamics and bifurcations in the weak electrolyte model for electroconvection of nematic liquid crystals: a Ginzburg-Landau approach ⋮ In–Out Intermittency with Nested Subspaces in a System of Globally Coupled, Complex Ginzburg–Landau Equations ⋮ INTERMITTENCY AND CHAOS NEAR HOPF BIFURCATION WITH BROKEN 𝕆(2) × 𝕆(2) SYMMETRY

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