| Full text | |
| Author(s): |
Mereu, Ana Cristina
;
Teixeira, Marco Antonio
Total Authors: 2
|
| Document type: | Journal article |
| Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 33, n. 3, p. 23-pg., 2013-03-01. |
| Abstract | |
We study the dynamics near an equilibrium point of a 2-parameter family of a reversible system in R-6. In particular, we exhibit conditions for the existence of periodic orbits near the equilibrium of systems having the form x((vi)) + lambda(1)x((iv)) + lambda(2)x '' + x = f(x, x', x '', x'", x((iv)), x((v))). The techniques used are Belitskii normal form combined with Lyapunov-Schmidt reduction. (AU) | |
| 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 |