Abstract
A class of planar diffeomorphims is formulated, with infinitely many coexisting Smale horseshoes, where the Lebesgue measure of the parameters with such strange dynamics is infinite. On each horseshoe, there exists a uniformly hyperbolic invariant set, on which the map is topologically conjugate to the two-sided full-shift on two symbols. Moreover, the topological entropy is infinite in certain parameter regions. © 2024 Informa UK Limited, trading as Taylor & Francis Group.
| Original language | English |
|---|---|
| Pages (from-to) | 1866–1884 |
| Journal | Journal of Difference Equations and Applications |
| Volume | 30 |
| Issue number | 12 |
| Online published | 13 Jun 2024 |
| DOIs | |
| Publication status | Published - Dec 2024 |
Research Keywords
- coexistence
- hyperbolic invariant set
- Smale horseshoe
- symbolic dynamical system
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