Curry-Yorke route to shearless attractors and coexistence of attractors in dissipative nontwist systems

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Autor(es): dc.contributorFederal University of Paraná-
Autor(es): dc.contributorState University of Ponta Grossa-
Autor(es): dc.contributorUniversidade de São Paulo (USP)-
Autor(es): dc.contributorUniversidade Estadual Paulista (Unesp)-
Autor(es): dc.creatorMugnaine, Michele-
Autor(es): dc.creatorBatista, Antonio M.-
Autor(es): dc.creatorCaldas, Iberê L.-
Autor(es): dc.creatorSzezech, José D.-
Autor(es): dc.creatorDe Carvalho, Ricardo Egydio [UNESP]-
Autor(es): dc.creatorViana, Ricardo L.-
Data de aceite: dc.date.accessioned2022-02-22T00:49:47Z-
Data de disponibilização: dc.date.available2022-02-22T00:49:47Z-
Data de envio: dc.date.issued2021-06-25-
Data de envio: dc.date.issued2021-06-25-
Data de envio: dc.date.issued2021-01-31-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1063/5.0035303-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/207291-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/207291-
Descrição: dc.descriptionThe routes to chaos play an important role in predictions about the transitions from regular to irregular behavior in nonlinear dynamical systems, such as electrical oscillators, chemical reactions, biomedical rhythms, and nonlinear wave coupling. Of special interest are dissipative systems obtained by adding a dissipation term in a given Hamiltonian system. If the latter satisfies the so-called twist property, the corresponding dissipative version can be called a dissipative twist system.Transitions to chaos in these systems are well established; for instance, the Curry-Yorke route describes the transition from a quasiperiodic attractor on torus to chaos passing by a chaotic banded attractor. In this paper, we study the transitions from an attractor on torus to chaotic motion in dissipative nontwist systems. We choose the dissipative standard nontwist map, which is a non-conservative version of the standard nontwist map. In our simulations, we observe the same transition to chaos that happens in twist systems, known as a soft one, where the quasiperiodic attractor becomes wrinkled and then chaotic through the Curry-Yorke route. By the Lyapunov exponent, we study the nature of the orbits for a different set of parameters, and we observe that quasiperiodic motion and periodic and chaotic behavior are possible in the system. We observe that they can coexist in the phase space, implying in multistability. The different coexistence scenarios were studied by the basin entropy and by the boundary basin entropy.-
Descrição: dc.descriptionDepartment of Physics Federal University of Paraná-
Descrição: dc.descriptionDepartment of Mathematics and Statistics State University of Ponta Grossa-
Descrição: dc.descriptionGraduate in Science Program - Physics State University of Ponta Grossa-
Descrição: dc.descriptionInstitute of Physics University of São Paulo-
Descrição: dc.descriptionDepartment of Statistics Applied Mathematics and Computer Science Institute of Geosciences and Exact Sciences Ͽ IGCE São Paulo State University (UNESP)-
Descrição: dc.descriptionDepartment of Statistics Applied Mathematics and Computer Science Institute of Geosciences and Exact Sciences Ͽ IGCE São Paulo State University (UNESP)-
Idioma: dc.languageen-
Relação: dc.relationChaos-
???dc.source???: dc.sourceScopus-
Título: dc.titleCurry-Yorke route to shearless attractors and coexistence of attractors in dissipative nontwist systems-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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