Approximation of entropy on hyperbolic sets for one-dimensional maps and their multidimensional perturbations (Q618197)
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scientific article; zbMATH DE number 5836793
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of entropy on hyperbolic sets for one-dimensional maps and their multidimensional perturbations |
scientific article; zbMATH DE number 5836793 |
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Approximation of entropy on hyperbolic sets for one-dimensional maps and their multidimensional perturbations (English)
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14 January 2011
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The title reflects well the topic of the paper. More concretely, a positive topological entropy of a piecewise twice continuous differentiable maps can be suitably approximated on special invariant hyperbolic sets. This allows to generalize an earlier joint result of the second author concerning the chaotic behaviour of solutions to difference equations under multidimensional perturbations.
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topological entropy
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one-dimensional maps
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difference equations
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multidimensional perturbations
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