Orbit Equivalence of Global Attractors for S1-Equivariant Parabolic Equations

Authors

  • Carlos Rocha Center for Mathematical Analysis, Geometry and Dynamical Systems; Departamento de Matem´atica, Instituto Superior T´ecnico

DOI:

https://doi.org/10.11606/issn.2316-9028.v6i2p365-374

Abstract

We consider the global attractor Af for the semiflow generated by a scalar semilinear parabolic equation of the form ut = uxx + f(u, ux), defined on the circle, x 2 S1. Using a characterization of the period maps for planar Hamiltonian systems of the form u00 + g(u) = 0 we discuss questions related to the topological equivalence between global attractors.

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Published

2012-12-30

Issue

Vol. 6 No. 2 (2012)

Section

Articles

How to Cite

Orbit Equivalence of Global Attractors for S1-Equivariant Parabolic Equations. (2012). The São Paulo Journal of Mathematical Sciences, 6(2), 365-374. https://doi.org/10.11606/issn.2316-9028.v6i2p365-374