Piecewise Affine Dynamics

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Note: this page is preliminary - you are most welcome to edit or discuss it (using the buttons "Edit" and "Discuss" on the bottom of the page). Generalities First, some ludicrously general...

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The Lozi family consists of the maps The attractor for Lozi's original parameters: . (1) where are parameters. Some authors prefer the definition (2) which has the advantage of clearly...

A piecewise expanding map is a simple PA whose restriction to the interior of each facet of the triangulation uniformly expands some distance. More precisely, there is a distance $latex d$ on the...

Topological dynamics Periodic points Describe the set of periodic points or points with periodic itineraries in various settings (non-zero topological entropy, piecewise isometries,…) Count them...

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A piecewise affine surface homeomorphism is a homeomorphism of a topological space admitting a finite triangulation whose simplicial complex is a homogeneous 2-complex. These transformations can be...

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The topological entropy of a continuous map is a non-negative number that measures its dynamical complexity. In order to define the topological entropy it is not enough to have a topological space...

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