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Patchwork Patterns: Dynamics on Unbounded Domains

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Bifurcation, Symmetry and Patterns

Part of the book series: Trends in Mathematics ((TM))

Abstract

We discuss some problems concerning the asymptotic behaviour of patterns generated by evolution equations on unbounded domains. We suggest an approach using a number of different topologies to examine the asymptotic behaviour of patterns. This highlights some problems that need to be understood in constructing a topological theory of dynamics for spatiotemporal patterns

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Author information

Authors and Affiliations

  1. School of Mathematical Sciences, University of Exeter, Exeter, EX4 4QE, UK

    Peter Ashwin

Authors
  1. Peter Ashwin
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Editor information

Editors and Affiliations

  1. Departamento de Matemática Instituto Superior Técnico, Centro de Análise Matemática Geometria e Sistemas Dinâmicos, Av. Rovisco Pais, 1049-001, Lisboa, Portugal

    Jorge Buescu

  2. Centro de Matemática Aplicada Faculdade de Economia, Universidade do Porto, Rua Dr. Roberto Frias, 4200, Porto, Portugal

    Sofia B. S. D. Castro

  3. Centro de Matemática Departamento de Matemática Pura, Universidade do Porto Praça Gomes Teixeira Faculdade de Ciências Universidade do Porto, 4099-002, Porto, Portugal

    Ana Paula da Silva Dias

  4. Departamento de Matemática Aplicada, Centro de Matemática Aplicada, Rua das Taipas, 135, 4050-600, Porto, Portugal

    Isabel Salgado Labouriau

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© 2003 Springer Basel AG

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Ashwin, P. (2003). Patchwork Patterns: Dynamics on Unbounded Domains. In: Buescu, J., Castro, S.B.S.D., da Silva Dias, A.P., Labouriau, I.S. (eds) Bifurcation, Symmetry and Patterns. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7982-8_3

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  • DOI: https://doi.org/10.1007/978-3-0348-7982-8_3

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9642-9

  • Online ISBN: 978-3-0348-7982-8

  • eBook Packages: Springer Book Archive

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