Cutting surfaces and applications to periodic points and chaotic-like dynamics
DOI: http://dx.doi.org/10.12775/TMNA.2007.030
Abstract
In this paper we propose an elementary topological
approach which unifies and extends various different results
concerning fixed points and periodic points for maps defined on
sets homeomorphic to rectangles embedded in euclidean
spaces. We also investigate the associated discrete semidynamical
systems in view of detecting the presence of chaotic-like
dynamics.
approach which unifies and extends various different results
concerning fixed points and periodic points for maps defined on
sets homeomorphic to rectangles embedded in euclidean
spaces. We also investigate the associated discrete semidynamical
systems in view of detecting the presence of chaotic-like
dynamics.
Keywords
Connected and locally arcwise connected metric spaces; fixed points; periodic points; Poincaré-Miranda theorem; Leray-Schauder continuation theorem and its generalizations; zeros of parameter dependent vector fields; chaotic dynamics; topological horseshoes
Full Text:
FULL TEXTRefbacks
- There are currently no refbacks.