94513 20210121114448.0 doi 10.1016/j.physleta.2015.07.035 sideral 91194 ART-2015-91194 eng (orcid)0000-0002-8089-343X Barrio, Roberto Universidad de Zaragoza When chaos meets hyperchaos: 4D Rössler model 2015 Access copy available to the general public Unrestricted 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. info:eu-repo/grantAgreement/ES/MICINN/MTM2012-31883 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 1.677 2015 PHYSICS, MULTIDISCIPLINARY 26 / 79 = 0.329 2015 Q2 T1 0.663 2015 Physics and Astronomy (miscellaneous) 2015 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion (orcid)0000-0002-7374-3222 Martínez, M. Ángeles (orcid)0000-0002-5701-1670 Serrano, Sergio Universidad de Zaragoza Wilczak, Daniel 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 379, 38 (2015), 2300-2305 Phys. lett., A PHYSICS LETTERS A 0375-9601 8607965 http://zaguan.unizar.es/record/94513/files/texto_completo.pdf Postprint 584809 http://zaguan.unizar.es/record/94513/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:94513 articulos driver 2021-01-21-10:44:05 ARTICLE