| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1897756 | Physica D: Nonlinear Phenomena | 2011 | 8 Pages |
Abstract
⺠Periodic perturbations of planar homoclinic loops can lead to chaotic dynamics. ⺠Planar polynomial vector fields may present unbounded homoclinic loops. ⺠Unbounded homoclinic loops can be studied with the Poincaré compactification. ⺠Periodic perturbations of unbounded homoclinic loops can also lead to chaos. ⺠The proof is made using the Melnikov method.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Marcelo Messias, Márcio R. Alves Gouveia,