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http://hdl.handle.net/10400.2/13843
Título: | Dynamics of conservative Bykov cycles: tangencies, generalized Cocoon bifurcations and elliptic solutions |
Autor: | Bessa, Mário Rodrigues, Alexandre A. P. |
Palavras-chave: | Heteroclinic bifurcations Tangencies Generalized Cocoon bifurcations Chirality Elliptic solutions |
Data: | 2016 |
Editora: | Elsevier |
Citação: | M. Bessa, A. Rodrigues, Dynamics of conservative Bykov cycles: Tangencies, generalized Cocoon bifurcations and elliptic solutions, 261, 2, 1176-1202, 2016 |
Resumo: | This paper presents a mechanism for the coexistence of hyperbolic and non-hyperbolic dynamics arising in a neighbourhood of a conservative Bykov cycle where trajectories turn in opposite directions near the two saddle-foci. We show that within the class of divergence-free vector fields that preserve the cycle, tangencies of the invariant manifolds of two hyperbolic saddle-foci densely occur. The global dynamics is persistently dominated by heteroclinic tangencies and by the existence of infinitely many elliptic points coexisting with non-uniformly hyperbolic suspended horseshoes. A generalized version of the Cocoon bifurcations for conservative systems is obtained. |
Peer review: | yes |
URI: | http://hdl.handle.net/10400.2/13843 |
DOI: | 10.1016/j.jde.2016.03.040 |
ISSN: | 0022-0396 |
Versão do Editor: | https://www.sciencedirect.com/science/article/pii/S002203961630016X |
Aparece nas colecções: | Matemática e Estatística | Artigos em revistas internacionais / Papers in international journals |
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