A mechanism explaining the metamorphoses of KAM islands in nonhyperbolic chaotic scattering

Nieto, A. R. ; Seoane, J. M. ; Barrio, R. (Universidad de Zaragoza) ; Sanjuan, M. A. F.

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

Factor impacto JCR: 5.6 (2022)

Categ. JCR: MECHANICS rank: 13 / 137 = 0.095 (2022) - Q1 - T1
Categ. JCR: ENGINEERING, MECHANICAL rank: 15 / 136 = 0.11 (2022) - Q1 - T1

Factor impacto CITESCORE: 9.0 - Mathematics (Q1) - Engineering (Q1)

Factor impacto SCIMAGO: 1.285 - Aerospace Engineering (Q1) - Applied Mathematics (Q1) - Ocean Engineering (Q1) - Electrical and Electronic Engineering (Q1) - Mechanical Engineering (Q1) - Control and Systems Engineering (Q1)

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)