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Shearless and periodic attractors in the dissipative Labyrinthic map

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Autor(es):
Souza, L. F. B. ; de Carvalho, R. Egydio ; Viana, R. L. ; Caldas, I. L.
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: Chaos; v. 34, n. 12, p. 13-pg., 2024-12-01.
Resumo

The Labyrinthic map is a two-dimensional area-preserving map that features a robust transport barrier known as the shearless curve. In this study, we explore a dissipative version of this map, examining how dissipation affects the shearless curve and leads to the emergence of quasi-periodic or chaotic attractors, referred to as shearless attractors. We present a route to chaos of the shearless attractor known as the Curry-Yorke route. To investigate the multi-stability of the system, we employ basin entropy and boundary basin entropy analyses to characterize diverse scenarios. Additionally, we numerically investigate the dynamic periodic structures known as "shrimps" and "Arnold tongues" by varying the parameters of the system. (AU)

Processo FAPESP: 19/07329-4 - Análise da robustez do(a) atrator (curva) "shearless" e da transição quase-periódico caótico
Beneficiário:Ricardo Egydio de Carvalho
Modalidade de apoio: Auxílio à Pesquisa - Regular