Qualitative theory and bifurcations of piecewise smooth vector fields
Dynamical systems with symmetries and implicit differential equations
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Estadual Campinas, Dept Matemat, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | HOUSTON JOURNAL OF MATHEMATICS; v. 41, n. 2, p. 491-512, 2015. |
| Web of Science Citations: | 0 |
| Abstract | |
In this article we study minimal sets of coupled systems of second order differential equations. We use methods in Averaging Theory, Lyapunov-Schmidt and Normal Forms Theory to analyze the birth of cylinders and tori in such systems. We provide applications of the developed methodology to study the existence of minimal sets in perturbations of some normal forms, and in a class of weakly coupled oscillators. (AU) | |
| FAPESP's process: | 07/05215-4 - The Hamiltonian structure of normal forms for elliptic equilibria of reversible vector fields in 4D and 6D |
| Grantee: | Ricardo Miranda Martins |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 07/06896-5 - Geometry of control, dynamical and stochastic systems |
| Grantee: | Luiz Antonio Barrera San Martin |
| Support Opportunities: | Research Projects - Thematic Grants |