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

Pireddu, M., Zanolin, F. (2007). Cutting surfaces and applications to periodic points and chaotic-like dynamics. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 30, 279-319.

Cutting surfaces and applications to periodic points and chaotic-like dynamics

PIREDDU, MARINA;
2007

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
Articolo in rivista - Articolo scientifico
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 horseshoe
English
2007
30
279
319
none
Pireddu, M., Zanolin, F. (2007). Cutting surfaces and applications to periodic points and chaotic-like dynamics. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 30, 279-319.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/46072
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