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Analytic solutions for monotonic and oscillating fronts in a reaction-diffusion system under external fields

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Publication:1401538
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DOI10.1016/S0167-2789(03)00138-6zbMath1027.35049MaRDI QIDQ1401538

V. S. Zykov, Klaus Kassner, Evgeny P. Zemskov, Stefan C. Müller

Publication date: 17 August 2003

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


zbMATH Keywords

piecewise linear systemstable statetwo-variable modelsunstable state


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57)


Related Items (3)

Stationary and oscillatory fronts in a two-component genetic regulatory network model ⋮ EMERGENCE OF OSCILLATORY TURING PATTERNS INDUCED BY CROSS DIFFUSION IN A PREDATOR–PREY SYSTEM ⋮ Inhomogeneity-induced bifurcation of stationary and oscillatory pulses




Cites Work

  • Foundations of synergetics. I: Distributed active systems.
  • Pattern formation in non-gradient reaction-diffusion systems: the effects of front bifurcations
  • Stability of travelling fronts in a piecewise-linear reaction-diffusion system
  • Travelling fronts in a piecewise-linear bistable system
  • Travelling front solutions of a nonlocal Fisher equation




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