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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Chaos Induced by Sliding Phenomena in Filippov Systems

Full text
Author(s):
Novaes, Douglas D. [1] ; Ponce, Gabriel [1] ; Varao, Regis [1]
Total Authors: 3
Affiliation:
[1] Univ Estadual Campinas, Dept Matemat, Rua Sergio Baruque Holanda 651, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: Journal of Dynamics and Differential Equations; v. 29, n. 4, p. 1569-1583, DEC 2017.
Web of Science Citations: 1
Abstract

In this paper we provide a full topological and ergodic description of the dynamics of Filippov systems nearby a sliding Shilnikov orbit . More specifically we prove that the first return map, defined nearby , is topologically conjugate to a Bernoulli shift with infinite topological entropy. In particular, we see that for each it has infinitely many periodic points with period m. We also study the perturbed system and obtain similar results. (AU)

FAPESP's process: 16/11471-2 - Sliding motion in discontinuous dynamical systems: periodic solutions, homoclinic connections, and nonlinear sliding modes
Grantee:Douglas Duarte Novaes
Support type: Regular Research Grants
FAPESP's process: 15/02517-6 - Study of minimal sets in nonsmooth dynamical systems
Grantee:Douglas Duarte Novaes
Support type: Scholarships in Brazil - Post-Doctorate
FAPESP's process: 15/02731-8 - Rigidity of partially hyperbolic dynamical systems and Anosov systems
Grantee:Gabriel Ponce
Support type: Scholarships in Brazil - Post-Doctorate
FAPESP's process: 16/05384-0 - Dynamics of Foliations and Rigidity of Ergodic Measures
Grantee:Gabriel Ponce
Support type: Regular Research Grants