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Differential flow instability in the Ginzburg-Landau and Swift-Hohenberg approximations

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Publication:1922742
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DOI10.1016/0167-2789(96)00053-XzbMath0888.35015OpenAlexW1970411957MaRDI QIDQ1922742

Michael Menzinger, Arkady Rovinsky, Anatoly Malevanets

Publication date: 24 September 1996

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

Full work available at URL: https://doi.org/10.1016/0167-2789(96)00053-x


zbMATH Keywords

Hopf bifurcationstability boundaryBenjamin-Feir instabilitylong wavelength approximationtraveling plane waves


Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32)


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The development of spatial structure in an ionic chemical system induced by applied electric fields



Cites Work

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  • Advanced synergetics. Instability hierarchies of self-organizing systems and devices
  • Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
  • Stability limits of traveling waves and the transition to spatiotemporal chaos in the complex Ginzburg-Landau equation
  • Absolute and convective instabilities in nonlinear systems
  • The chemical basis of morphogenesis
  • The disintegration of wave trains on deep water Part 1. Theory
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