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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.)

Bifurcations from families of periodic solutions in piecewise differential systems

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Author(s):
Llibre, Jaume [1] ; Novaes, Douglas D. [2] ; Rodrigues, Camila A. B. [3]
Total Authors: 3
Affiliation:
[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia - Spain
[2] Univ Estadual Campinas, Dept Matemat, Rua Sergio Buarque Holanda 651, BR-13083859 Campinas, SP - Brazil
[3] Univ Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC - Brazil
Total Affiliations: 3
Document type: Journal article
Source: PHYSICA D-NONLINEAR PHENOMENA; v. 404, MAR 2020.
Web of Science Citations: 0
Abstract

Consider a differential system of the form x' = F-0(t, x) + Sigma(k)(i=1) epsilon Rk+1(t, x, epsilon), where F-i : S-1 x D -> R-m and R : S-1 x D x (-epsilon(0), epsilon(0)) -> R-m are piecewise Ck+1 functions and T-periodic in the variable t. Assuming that the unperturbed system x' = F-0(t, x) has a d-dimensional submanifold of periodic solutions with d < m, we use the Lyapunov-Schmidt reduction and the averaging theory to study the existence of isolated T-periodic solutions of the above differential system. (C) 2020 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 18/16430-8 - Global dynamics of nonsmooth differential equations
Grantee:Douglas Duarte Novaes
Support Opportunities: Regular Research Grants
FAPESP's process: 18/13481-0 - Geometry of control, dynamical and stochastic systems
Grantee:Marco Antônio Teixeira
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 19/10269-3 - Ergodic and qualitative theories of dynamical systems II
Grantee:Claudio Aguinaldo Buzzi
Support Opportunities: Research Projects - Thematic Grants