| Full text | |
| Author(s): |
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
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| 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 |