Lyapunov-type numbers for Poincaré maps
In [3] we have addressed computational issues related to Lyapunov-type numbers for invariant curves of planar maps. These numbers are important for understanding persistence and breakdown of the invariant curves when the map is perturbed. The purpose of this paper is to apply the results of [3] to P...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2006-11-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7443/4283 |
| Summary: | In [3] we have addressed computational issues related to Lyapunov-type numbers for invariant curves of planar maps. These numbers are important for understanding persistence and breakdown of the invariant curves when the map is perturbed. The purpose of this paper is to apply the results of [3] to Poincarré maps of systems of ODE's depending on a parameter and to address numerical issues involved. |
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| ISSN: | 0037-8712 2175-1188 |