Work

Shearless and periodic attractors in the dissipative Labyrinthic map

Year: 2024

Type: article

Abstract: 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.

Source: Chaos An Interdisciplinary Journal of Nonlinear Science

DOI: 10.1063/5.0225577

Authors: L. F. B. Souza, R. Egydio de Carvalho, R. L. Viana, I. L. Caldas

Institutions: Universidade de São Paulo, Universidade Estadual Paulista (Unesp), Universidade Federal do Paraná

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Fundação de Amparo à Pesquisa do Estado de São Paulo, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico