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Subcritical bifurcation to infinitely many rotating waves

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Publication:1378602
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DOI10.1006/jmaa.1997.5651zbMath0892.34004OpenAlexW2018338848MaRDI QIDQ1378602

Arnd Scheel

Publication date: 13 August 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/92f959d43eebb692b10f47c7d94564291db865d3


zbMATH Keywords

reaction-diffusion systemsMelnikov analysiswave solutions


Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Growth and boundedness of solutions to ordinary differential equations (34C11) Local and nonlocal bifurcation theory for dynamical systems (37G99)


Related Items

Meandering Spirals ⋮ Connecting Orbits for a Singular Nonautonomous Real Ginzburg--Landau Type Equation



Cites Work

  • Unnamed Item
  • Target pattern and spiral solutions to reaction-diffusion equations with more than one space dimension
  • Dynamics of spiral waves on unbounded domains using center-manifold reductions
  • Spiral waves for \(\lambda\)-\(\omega\) systems. II
  • Spiral Waves for $\lambda -\omega $ Systems
  • Plane Wave Solutions to Reaction-Diffusion Equations
  • Rotating Spiral Wave Solutions of Reaction-Diffusion Equations
  • Bifurcation to Spiral Waves in Reaction-Diffusion Systems
  • Spiral Waves in Reaction-Diffusion Equations
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