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Fronts and pulses in a class of reaction-diffusion equations: a geometric singular perturbation approach

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Publication:2707002
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DOI10.1088/0951-7715/14/1/302zbMath0976.34008OpenAlexW2171615108MaRDI QIDQ2707002

Geertje Hek

Publication date: 12 December 2001

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5f0a05604798bf102c4a39f37a5ca52c4da52243


zbMATH Keywords

Poincaré mapsgeometric singular perturbation theoryhomoclinic and heteroclinic solutionsmultiple-front solutionstravelling waves ansatz


Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Geometric methods in ordinary differential equations (34A26) Bifurcation theory for ordinary differential equations (34C23) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)


Related Items (1)

Traveling pulses and their bifurcation in a diffusive Rosenzweig-MacArthur system with a small parameter


Uses Software

  • Algorithm 731
  • CWRESU
  • CWRESX






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