2007 Conference on Variational and Topological Methods: Theory, Applications,
Numerical Simulations, and Open Problems. 
Electron. J. Diff. Eqns., Conference 18 (2010), pp. 45-56.

Title: A geometric approach to invariant sets for dynamical systems

Authors: David Medina  (Inst. Tec. Superior de Perote, Mexico)
         Pablo Padilla (IIMAS-UNAM, Mexico)
 
Abstract: 
 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.

Published July 10, 2010.
Math Subject Classifications: 37L05.
Key Words: Invariant sets; dynamical systems; area functional;
           steepest descent method.