Cutting surfaces and applications to periodic points and 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 horseshoesAbstract
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.Downloads
Published
2007-12-01
How to Cite
1.
PIREDDU, Marina and ZANOLIN, Fabio. Cutting surfaces and applications to periodic points and chaotic-like dynamics. Topological Methods in Nonlinear Analysis. Online. 1 December 2007. Vol. 30, no. 2, pp. 279 - 319. [Accessed 19 April 2024].
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