Title :
Multistability of partially synchronous regimes in a system of three coupled logistic maps
Author :
Nikolaev, Sergey M. ; Shabunin, Alexey V. ; Astakhov, Vladimir V.
Author_Institution :
Dept. of Radiophys. & Nonlinear Dynamics, Saratov State Univ., Russia
Abstract :
We research the bifurcations of partially synchronous periodic orbits which lead to the multistability formation in a system of three coupled logistic maps with symmetrical diffusive coupling. We demonstrate that the partially synchronous regimes appear as results of saddle-node bifurcations. The mechanisms of stability loss of partial synchronization of chaos are discussed.
Keywords :
bifurcation; chaos; nonlinear dynamical systems; numerical stability; synchronisation; bifurcations; chaos; multistability formation; nonlinear oscillatory system; partial synchronisation; partially synchronous periodic orbits; saddle-node bifurcations; stability loss; symmetrical diffusive coupling; three coupled logistic maps; Bifurcation; Chaos; Control systems; Extraterrestrial phenomena; Logistics; Nonlinear dynamical systems; Orbits; Ring oscillators; Robust stability; Trajectory;
Conference_Titel :
Physics and Control, 2005. Proceedings. 2005 International Conference
Print_ISBN :
0-7803-9235-3
DOI :
10.1109/PHYCON.2005.1513972
