CHAOTIC SYNCHRONIZATION AND ANTISYNCHRONIZATION IN COUPLED SINE MAPS.

Autor: Maistrenko, V. L., Maistrenko, Yu. L., Mosekilde, E.
Předmět:
Zdroj: International Journal of Bifurcation & Chaos in Applied Sciences & Engineering; Jul2005, Vol. 15 Issue 7, p2161-2177, 17p
Abstrakt: This paper investigates different types of chaotic synchronization in a system of two coupled sine maps. Due to the bimodal nature of the individual map, there is a range of parameters in which two synchronized chaotic states coexist along the main diagonal. In certain parameter regions, various (regular or chaotic) asynchronous states coexist with the synchronized chaotic states, and the basins of attraction become quite complicated. We determine the regions of stability for the so-called principal cycles that arise through transverse period-doubling bifurcations of synchronized saddle cycles. Particular emphasis is paid to the occurrence of chaotic antisynchronization, the coexistence of antisynchronous chaotic states, and the presence of narrow regions of parameter space in which states of chaotic synchronization and antisynchronization exist simultaneously. For each of these cases we provide detailed pictures of the associated basin structures. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index