MULTISTABILITY, PHASE DIAGRAMS AND STATISTICAL PROPERTIES OF THE KICKED ROTOR: A MAP WITH MANY COEXISTING ATTRACTORS

Autor:	Luciano Camargo Martins, Jason A. C. Gallas
Rok vydání:	2008
Předmět:	Physics Rotor (electric) Applied Mathematics Chaotic Function (mathematics) Parameter space Synchronization law.invention Nonlinear Sciences::Chaotic Dynamics Classical mechanics law Modeling and Simulation Attractor Dissipative system Engineering (miscellaneous) Multistability
Zdroj:	International Journal of Bifurcation and Chaos. 18:1705-1717
ISSN:	1793-6551 0218-1274
DOI:	10.1142/s0218127408021294
Popis:	We investigate the prevalence of multistability in the parameter space of the kicked rotor map. We report high-resolution phase diagrams showing how the density of attractors and the density of periods vary as a function of both model parameters. Our diagrams illustrate density variations that exist when moving between the familiar conservative and strongly dissipative limits of the map. We find the kicked rotor to contain multistability regions with more than 400 coexisting attractors. This fact makes the rotor a promising high-complexity local unit to investigate synchronization in networks of chaotic maps, in both regular and complex topologies.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::330ffd990b3913aeef7ffcb6e83c6dcf https://doi.org/10.1142/s0218127408021294 Zobrazit plný text záznamu