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

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

2007-04-18

arxiv.org/abs/0704.2328v1

Mathematics

Dynamical Systems

37 pages, 4 figures

Scientific paper

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.

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