| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Estadual Paulista, Fac Engn, UNESP, Ilha Solteira, SP - Brazil
[2] Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, UNICAMP, Campinas, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS; v. 190, JAN 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
In this paper, we consider one-parameter ( lambda > 0) families of Lienard differential equations. We are concerned with the study on the asymptotic behavior of periodic solutions for small and large values of lambda > 0. To prove our main result we use the relaxation oscillation theory and a topological version of the averaging theory. More specifically, the first one is appropriate for studying the periodic solutions for large values of lambda and the second one for small values of lambda. In particular, our hypotheses allow us to establish a link between these two theories. (C) 2019 Elsevier Ltd. All rights reserved. (AU) | |
| FAPESP's process: | 19/00976-4 - Dynamical systems with multiple time scales |
| Grantee: | Pedro Toniol Cardin |
| 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 |
| FAPESP's process: | 13/24541-0 - Ergodic and qualitative theory of dynamical systems |
| Grantee: | Claudio Aguinaldo Buzzi |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 18/16430-8 - Global dynamics of nonsmooth differential equations |
| Grantee: | Douglas Duarte Novaes |
| Support Opportunities: | Regular Research Grants |