Shrinking shrimp-shaped domains and multistability in the dissipative asymmetric kicked rotor map.

Autor:	Rolim Sales M; Department of Physics, São Paulo State University (UNESP), 13506-900 Rio Claro, SP, Brazil., Mugnaine M; Institute of Physics, University of São Paulo, 05508-900 São Paulo, SP, Brazil., Leonel ED; Department of Physics, São Paulo State University (UNESP), 13506-900 Rio Claro, SP, Brazil., Caldas IL; Institute of Physics, University of São Paulo, 05508-900 São Paulo, SP, Brazil., Szezech JD Jr; Graduate Program in Sciences/Physics, State University of Ponta Grossa, 84030-900 Ponta Grossa, PR, Brazil.; Department of Mathematics and Statistics, State University of Ponta Grossa, 84030-900 Ponta Grossa, PR, Brazil.
Jazyk:	angličtina
Zdroj:	Chaos (Woodbury, N.Y.) [Chaos] 2024 Nov 01; Vol. 34 (11).
DOI:	10.1063/5.0233324
Abstrakt:	An interesting feature in dissipative nonlinear systems is the emergence of characteristic domains in parameter space that exhibit periodic temporal evolution, known as shrimp-shaped domains. We investigate the parameter space of the dissipative asymmetric kicked rotor map and show that, in the regime of strong dissipation, the shrimp-shaped domains repeat themselves as the nonlinearity parameter increases while maintaining the same period. We analyze the dependence of the length of each periodic domain with the nonlinearity parameter, revealing that it follows a power law with the same exponent regardless of the dissipation parameter. Additionally, we find that the distance between adjacent shrimp-shaped domains is scaling invariant with respect to the dissipation parameter. Furthermore, we show that for weaker dissipation, a multistable scenario emerges within the periodic domains. We find that as the dissipation gets weaker, the ratio of multistable parameters for each periodic domain increases, and the area of the periodic basin decreases as the nonlinearity parameter increases. (© 2024 Author(s). Published under an exclusive license by AIP Publishing.)
Databáze:	MEDLINE
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