scholarly journals Multi-stable synchronization manifold in generalized synchronization of chaos

2008 ◽  
Vol 57 (5) ◽  
pp. 2761
Author(s):  
Yu Xiang ◽  
Zhu Shi-Jian ◽  
Liu Shu-Yong
Keyword(s):  
Generalized Synchronization ◽  
Synchronization Manifold

scholarly journals GENERALIZED SYNCHRONIZATION OF CHAOS VIA LINEAR TRANSFORMATIONS

1999 ◽  
Vol 09 (01) ◽  
pp. 215-219 ◽  
Author(s):  
TAO YANG ◽  
LEON O. CHUA
Keyword(s):  
Chaotic Systems ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Generalized Synchronization ◽  
Linear Transformations ◽  
Driving System ◽  
Driven System ◽  
Necessary And Sufficient ◽  
Special Case ◽  
Synchronization Manifold

Generalized synchronization (GS) of two chaotic systems is a generalization of identical synchronization. Usually, the manifold of GS is much more complex than the driven system and the driving system. In this paper, we study a special case of GS in which the synchronization manifold is linear (linear GS for short). In a theorem, we present the necessary and sufficient conditions under which a linear GS can be achieved between two chaotic systems. In particular, we study the linear GS of two Chua's circuits.

SYNCHRONIZATION OF SOME KIND OF PDE CHAOTIC SYSTEMS BY INVARIANT MANIFOLD METHOD

2005 ◽  
Vol 15 (07) ◽  
pp. 2303-2309 ◽  
Author(s):  
LINGLI XIE ◽  
YI ZHAO
Keyword(s):  
Invariant Manifold ◽  
General Framework ◽  
Chaotic Systems ◽  
Generalized Synchronization ◽  
Synchronization Problem ◽  
Optimization Calculation ◽  
Synchronization Manifold

In this paper, we are concerned with the complete and generalized synchronization problem for some kind of PDE chaotic systems. The criteria for the existence of synchronization manifold is given in a look-like general framework by invariant manifold method. The corresponding optimization calculation problems and procedures are proposed.

On multistability near the boundary of generalized synchronization in unidirectionally coupled chaotic systems

2021 ◽  
Vol 31 (8) ◽  
pp. 083106
Author(s):  
Olga I. Moskalenko ◽  
Alexey A. Koronovskii ◽  
Anton O. Selskii ◽  
Evgeniy V. Evstifeev
Keyword(s):  
Chaotic Systems ◽  
Generalized Synchronization
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