Transport, escape of particles and dynamical properties of some non-linear mappings
Dynamical and transport properties in conservative and dissipative dynamical systems
| Full text | |
| Author(s): |
de Faria, Edson
;
Guarino, Pablo
Total Authors: 2
|
| Document type: | Journal article |
| Source: | SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. 16, n. 1, p. 56-pg., 2021-05-20. |
| Abstract | |
This paper presents a survey of recent and not so recent results concerning the study of smooth homeomorphisms of the circle with a finite number of non-flat critical points, an important topic in the area of One-dimensional Dynamics. We focus on the analysis of the fine geometric structure of orbits of such dynamical systems, as well as on certain ergodic-theoretic and complex-analytic aspects of the subject. Finally, we review some conjectures and open questions in this field. (AU) | |
| FAPESP's process: | 16/25053-8 - Dynamics and geometry in low dimensions |
| Grantee: | André Salles de Carvalho |
| Support Opportunities: | Research Projects - Thematic Grants |