Title :
On synchronization of hyperchaotic systems
Author :
Galias, Zbigniew
Author_Institution :
Dept. of Electr. Eng., Univ. of Min. & Metall., Cracow, Poland
Abstract :
In this paper we prove that for arbitrary n there exist dynamical systems with n positive Lyapunov exponents which can be synchronized using Pecora-Carroll technique with one driving variable. We also show examples of hyperchaotic electronic circuits with two and three positive Lyapunov exponents, which can be synchronized with only one variable
Keywords :
Lyapunov methods; chaos; discrete time systems; nonlinear dynamical systems; nonlinear network analysis; synchronisation; Pecora-Carroll technique; discrete-time systems; driving variable; dynamical systems; hyperchaotic electronic circuits; hyperchaotic systems; positive Lyapunov exponents; synchronization; Artificial intelligence; Chaotic communication; Eigenvalues and eigenfunctions; Equations;
Conference_Titel :
Circuits and Systems, 1997. ISCAS '97., Proceedings of 1997 IEEE International Symposium on
Print_ISBN :
0-7803-3583-X
DOI :
10.1109/ISCAS.1997.621916
