A mechanism explaining the metamorphoses of KAM islands in nonhyperbolic chaotic scattering
Resumen: In 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.
Idioma: Inglés
DOI: 10.1007/s11071-022-07623-z
Año: 2022
Publicado en: Nonlinear Dynamics 109, 2 (2022), 1123–1133
ISSN: 0924-090X

Financiación: info:eu-repo/grantAgreement/ES/AEI/PID2019-105554GB-I00
Financiación: info:eu-repo/grantAgreement/ES/AEI/PID2021-122961NB-I00
Financiación: info:eu-repo/grantAgreement/ES/DGA-FSE/E24-17R
Financiación: info:eu-repo/grantAgreement/ES/DGA/LMP124-18
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PGC2018-096026-B-I00
Tipo y forma: Article (Published version)
Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)

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