Title :
Synchronization phenomena in coupled logistic maps involving parametric force
Author :
Kumeno, Hironori ; Nishio, Yoshifumi
Author_Institution :
Dept. of Electr. & Electron. Eng., Tokushima Univ., Tokushima, Japan
fDate :
May 30 2010-June 2 2010
Abstract :
Synchronization phenomena in coupled logistic maps whose parameters are forced into periodic varying are investigated through the use of Lyapunov exponents. When three maps are coupled, various synchronization phenomena are observed by choosing a coupling intensity. The synchronization phenomena fall into three general categories, which are asynchronous, synchronization of two among the three maps and synchronization of all the maps. In particular, in the synchronization of two of the three maps, solutions of maps behave periodic, quasi-periodic and chaotic for several coupling intensities.
Keywords :
Lyapunov methods; modelling; nonlinear systems; synchronisation; Lyapunov exponents; coupled logistic map; coupling intensity; parametric force; synchronization phenomena; Chaos; Coupling circuits; Equations; Inductors; Logistics; Oscillators; Physics; RLC circuits; State-space methods; Systems biology;
Conference_Titel :
Circuits and Systems (ISCAS), Proceedings of 2010 IEEE International Symposium on
Conference_Location :
Paris
Print_ISBN :
978-1-4244-5308-5
Electronic_ISBN :
978-1-4244-5309-2
DOI :
10.1109/ISCAS.2010.5537247