One-dimensional attractor for a dissipative system with a cylindrical phase space

Rogério Martins

doi:10.3934/dcds.2006.14.533

One-dimensional attractor for a dissipative system with a cylindrical phase space

Rogério Martins

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

Consider an attractor of a dissipative non-autonomous system with one angle coordinate. We give conditions for this attractor to be homeomorphic to the circle where we find connections with the work of R. A. Smith. Several applications are studied, such as: the forced pendulum, discretizations of the sine-Gordon equation, n'th order equations, among others.

Original language	English
Pages (from-to)	533-547
Number of pages	15
Journal	Discrete And Continuous Dynamical Systems
Volume	14
Issue number	3
DOIs	https://doi.org/10.3934/dcds.2006.14.533
Publication status	Published - Mar 2006

Keywords

Attractor
Cylindrical phase space
Dissipative systems
Pendulum

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Cite this

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abstract = "Consider an attractor of a dissipative non-autonomous system with one angle coordinate. We give conditions for this attractor to be homeomorphic to the circle where we find connections with the work of R. A. Smith. Several applications are studied, such as: the forced pendulum, discretizations of the sine-Gordon equation, n'th order equations, among others.",

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KW - Pendulum

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One-dimensional attractor for a dissipative system with a cylindrical phase space

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Keywords

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