Conditions implying Annular Chaos : quantitative results and Computer Assisted Proofs

Capiński, Maciej J. - Gröger, Maik - Passeggi, Alejandro - Tal, Fabio

Resumen:

We derive quantitative sufficient conditions for rotational chaos and diffusion in annular homeomorphisms, building on the topological criteria established in [31]. These conditions depend only on basic properties of the maps, making their implementation straightforward. To demonstrate the effectiveness of the method, we provide computer-assisted proofs of rotational chaos and diffusion for classical families of annular maps and their variations, in both conservative (twist and non-twist) and dissipative settings.

Detalles Bibliográficos
2025
DYNAMICAL SYSTEMS
TOPOLOGICAL ENTROPY
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/54737
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)