| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia - Spain
[2] Univ Estadual Campinas, Dept Matemat, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Nonlinearity; v. 27, n. 3, p. 563-583, MAR 2014. |
| Web of Science Citations: | 36 |
| Abstract | |
In this paper we deal with nonlinear differential systems of the form x'(t) = Sigma(k)(i=0) epsilon(i) F(i()t,x) + epsilon(k+1) R(t,x,epsilon), where F-i : R x D -> R-n for i = 0, 1, ... , k, and R : R x D x (-epsilon 0, epsilon 0). R-n are continuous functions, and T - periodic in the first variable, D being an open subset of R-n, and epsilon a small parameter. For such differential systems, which do not need to be of class C-1, under convenient assumptions we extend the averaging theory for computing their periodic solutions to k-th order in epsilon. Some applications are also performed. (AU) | |
| FAPESP's process: | 12/18780-0 - Geometry of control systems, dynamical and stochastics systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 13/16492-0 - Averaging Theory for studying the periodic solutions of the differential systems and its applications |
| Grantee: | Douglas Duarte Novaes |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |