Regular and Chaotic Behaviour of Dynamical Systems

1992 ◽  
pp. 1-23
Author(s):  
P. Collet
Keyword(s):  
Dynamical Systems ◽  
Chaotic Behaviour

Chaotic Behaviour of a Class of Symbolic Dynamical Systems

1993 ◽  
Vol 26 (2) ◽  
pp. 233-236
Author(s):  
Z.Y. Jiang ◽  
J.H. Fa ◽  
Y.P. Zheng ◽  
S.Y. He
Keyword(s):  
Dynamical Systems ◽  
Chaotic Behaviour

Chaotic Behaviour in Simple Dynamical Systems

SIAM Review ◽  
1990 ◽  
Vol 32 (3) ◽  
pp. 424-452 ◽  
Author(s):  
U. Kirchgraber ◽  
D. Stoffer
Keyword(s):  
Dynamical Systems ◽  
Chaotic Behaviour

Stabilization of Chaotic Systems with Phase Coupling

2000 ◽  
Vol 55 (11-12) ◽  
pp. 847-850 ◽  
Author(s):  
Yorick Hardy ◽  
W.-H. Steeb ◽  
C. M. Villet
Keyword(s):  
Dynamical Systems ◽  
Recurrence Relation ◽  
Kronecker Product ◽  
Chaotic Systems ◽  
Coupled System ◽  
Chaotic Behaviour ◽  
Study Phase ◽  
Phase Coupling

Abstract We study phase coupled chaotic systems. Using the Kronecker product we derive a recurrence relation for calculating the Ljapunov exponents of the phase coupled system. We investigate whether phase coupling can be used to control dynamical systems with chaotic behaviour.

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