000118661 001__ 118661
000118661 005__ 20240319081022.0
000118661 0247_ $$2doi$$a10.1007/s11071-022-07623-z
000118661 0248_ $$2sideral$$a129643
000118661 037__ $$aART-2022-129643
000118661 041__ $$aeng
000118661 100__ $$aNieto, A. R.
000118661 245__ $$aA mechanism explaining the metamorphoses of KAM islands in nonhyperbolic chaotic scattering
000118661 260__ $$c2022
000118661 5060_ $$aAccess copy available to the general public$$fUnrestricted
000118661 5203_ $$aIn the context of nonhyperbolic chaotic scattering, it has been shown that the evolution of the KAM islands exhibits four abrupt metamorphoses that strongly affect the predictability of Hamiltonian systems. It has been suggested that these metamorphoses are related to significant changes in the structure of the KAM islands. However, previous research has not provided an explanation of the mechanisms underlying the metamorphoses. Here, we show that they occur due to the formation of a homoclinic or heteroclinic tangle that breaks the internal structure of the main KAM island. We obtain similar qualitative results in a two-dimensional Hamiltonian system and a two-dimensional area-preserving map. The equivalence of the results obtained in both systems suggests that the same four metamorphoses play an important role in conservative systems.
000118661 536__ $$9info:eu-repo/grantAgreement/ES/AEI/PID2019-105554GB-I00$$9info:eu-repo/grantAgreement/ES/AEI/PID2021-122961NB-I00$$9info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17R$$9info:eu-repo/grantAgreement/ES/DGA/LMP124-18$$9info:eu-repo/grantAgreement/ES/MICINN/PGC2018-096026-B-I00
000118661 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000118661 590__ $$a5.6$$b2022
000118661 592__ $$a1.285$$b2022
000118661 591__ $$aMECHANICS$$b13 / 137 = 0.095$$c2022$$dQ1$$eT1
000118661 591__ $$aENGINEERING, MECHANICAL$$b15 / 136 = 0.11$$c2022$$dQ1$$eT1
000118661 593__ $$aAerospace Engineering$$c2022$$dQ1
000118661 593__ $$aApplied Mathematics$$c2022$$dQ1
000118661 593__ $$aOcean Engineering$$c2022$$dQ1
000118661 593__ $$aElectrical and Electronic Engineering$$c2022$$dQ1
000118661 593__ $$aMechanical Engineering$$c2022$$dQ1
000118661 593__ $$aControl and Systems Engineering$$c2022$$dQ1
000118661 594__ $$a9.0$$b2022
000118661 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000118661 700__ $$aSeoane, J. M.
000118661 700__ $$0(orcid)0000-0002-8089-343X$$aBarrio, R.$$uUniversidad de Zaragoza
000118661 700__ $$aSanjuan, M. A. F.
000118661 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000118661 773__ $$g109, 2 (2022), 1123–1133$$pNonlinear dyn.$$tNonlinear Dynamics$$x0924-090X
000118661 8564_ $$s3865925$$uhttps://zaguan.unizar.es/record/118661/files/texto_completo.pdf$$yVersión publicada
000118661 8564_ $$s1842529$$uhttps://zaguan.unizar.es/record/118661/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000118661 909CO $$ooai:zaguan.unizar.es:118661$$particulos$$pdriver
000118661 951__ $$a2024-03-18-16:23:19
000118661 980__ $$aARTICLE