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OSCILLATING LOCALIZED STRUCTURES IN REACTION–DIFFUSION SYSTEMS

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Publication:5311833
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DOI10.1142/S0218127404011806zbMath1074.35053MaRDI QIDQ5311833

Yumino Hayase, Helmut R. Brand, Orazio Descalzi

Publication date: 29 August 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)


zbMATH Keywords

Ginzburg-Landau equationreaction-diffusion modelquintic nonlinearityoscillating localized solution


Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Other special methods applied to PDEs (35A25)


Related Items (1)

Nonlinear waves in a quintic FitzHugh–Nagumo model with cross diffusion: Fronts, pulses, and wave trains




Cites Work

  • On the stability of localized structures in the complex Ginzburg-Landau equation
  • Collision of Propagating Pulses in a Reaction-Diffusion System
  • STATIONARY LOCALIZED SOLUTIONS IN THE SUBCRITICAL COMPLEX GINZBURG–LANDAU EQUATION
  • Excitability, wave reflection, and wave splitting in a cubic autocatalysis reaction-diffusion system




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