When chaos meets hyperchaos: 4D Rössler model

Barrio, Roberto (Universidad de Zaragoza) ; Martínez, M. Ángeles ; Serrano, Sergio (Universidad de Zaragoza) ; Wilczak, Daniel

Resumen: Chaotic behavior is a common feature of nonlinear dynamics, as well as hyperchaos in high-dimensional systems. In numerical simulations of these systems it is quite difficult to distinguish one from another behavior in some situations, as the results are frequently quite “noisy”. We show that in such systems a global hyperchaotic invariant set is present giving rise to long hyperchaotic transient behaviors. This fact provides a mechanism for these noisy results. The coexistence of chaos and hyperchaos is proved via Computer-Assisted Proofs techniques.

Idioma: Inglés

DOI: 10.1016/j.physleta.2015.07.035

Año: 2015

Publicado en: PHYSICS LETTERS A 379, 38 (2015), 2300-2305
ISSN: 0375-9601

Factor impacto JCR: 1.677 (2015)

Categ. JCR: PHYSICS, MULTIDISCIPLINARY rank: 26 / 79 = 0.329 (2015) - Q2 - T1

Factor impacto SCIMAGO: 0.663 - Physics and Astronomy (miscellaneous) (Q2)

Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2012-31883

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)