Some Results on Periodic Points and Chaotic Dynamics Arising from the Study of the Nonlinear Hill Equations
نویسنده
چکیده
We study fixed point theorems for maps which satisfy a property of stretching a suitably oriented topological space Z along the paths connecting two disjoint subsets Z− l and Z− r of Z . Our results reconsider and extend previous theorems in [56, 59, 60] where the case of two-dimensional cells (that is topological spaces homeomorphic to a rectangle of the plane) was analyzed. Applications are given to topological horseshoes and to the study of the periodic points and the symbolic dynamics associated to discrete (semi)dynamical systems.
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