Cutting surfaces and applications to periodic points and chaotic-like dynamics
Słowa kluczowe
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 horseshoesAbstrakt
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.Pobrania
Opublikowane
2007-12-01
Jak cytować
1.
PIREDDU, Marina & ZANOLIN, Fabio. Cutting surfaces and applications to periodic points and chaotic-like dynamics. Topological Methods in Nonlinear Analysis [online]. 1 grudzień 2007, T. 30, nr 2, s. 279–319. [udostępniono 22.7.2024].
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