A geometric approach to invariant sets for dynamical systems

A geometric approach to invariant sets for dynamical systems

In this article, we present a geometric framework to study invariant sets of dynamical systems associated with differential equations. This framework is based on properties of invariant sets for an area functional. We obtain existence results for heteroclinic and periodic orbits. We also impleme...

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Bibliographic Details
Main Authors: David Medina, Pablo Padilla
Format: Article
Language:English
Published: Texas State University 2010-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Invariant sets
dynamical systems
area functional
steepest descent method
Online Access:http://ejde.math.txstate.edu/conf-proc/18/m1/abstr.html
Description
Summary:In this article, we present a geometric framework to study invariant sets of dynamical systems associated with differential equations. This framework is based on properties of invariant sets for an area functional. We obtain existence results for heteroclinic and periodic orbits. We also implement this approach numerically by means of the steepest descent method.
ISSN:1072-6691

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