000094513 001__ 94513 000094513 005__ 20210121114448.0 000094513 0247_ $$2doi$$a10.1016/j.physleta.2015.07.035 000094513 0248_ $$2sideral$$a91194 000094513 037__ $$aART-2015-91194 000094513 041__ $$aeng 000094513 100__ $$0(orcid)0000-0002-8089-343X$$aBarrio, Roberto$$uUniversidad de Zaragoza 000094513 245__ $$aWhen chaos meets hyperchaos: 4D Rössler model 000094513 260__ $$c2015 000094513 5060_ $$aAccess copy available to the general public$$fUnrestricted 000094513 5203_ $$aChaotic 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. 000094513 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/MTM2012-31883 000094513 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000094513 590__ $$a1.677$$b2015 000094513 591__ $$aPHYSICS, MULTIDISCIPLINARY$$b26 / 79 = 0.329$$c2015$$dQ2$$eT1 000094513 592__ $$a0.663$$b2015 000094513 593__ $$aPhysics and Astronomy (miscellaneous)$$c2015$$dQ2 000094513 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000094513 700__ $$0(orcid)0000-0002-7374-3222$$aMartínez, M. Ángeles 000094513 700__ $$0(orcid)0000-0002-5701-1670$$aSerrano, Sergio$$uUniversidad de Zaragoza 000094513 700__ $$aWilczak, Daniel 000094513 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000094513 773__ $$g379, 38 (2015), 2300-2305$$pPhys. lett., A$$tPHYSICS LETTERS A$$x0375-9601 000094513 8564_ $$s8607965$$uhttps://zaguan.unizar.es/record/94513/files/texto_completo.pdf$$yPostprint 000094513 8564_ $$s584809$$uhttps://zaguan.unizar.es/record/94513/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000094513 909CO $$ooai:zaguan.unizar.es:94513$$particulos$$pdriver 000094513 951__ $$a2021-01-21-10:44:05 000094513 980__ $$aARTICLE