Generalized Synchronization of Time-Delayed Differential Systems
JING Jian-Yi1, MIN Le-Quan1,2
1Information Engineering School, University of Science and Technology Beijing, Beijing 1000832Applied Science School, University of Science and Technology Beijing, Beijing 100083
Generalized Synchronization of Time-Delayed Differential Systems
JING Jian-Yi1, MIN Le-Quan1,2
1Information Engineering School, University of Science and Technology Beijing, Beijing 1000832Applied Science School, University of Science and Technology Beijing, Beijing 100083
摘要We establish two theorems for two time-delayed (chaotic) differential equation systems to achieve time-delayed generalized synchronization (TDGS). The theorems uncover general forms of two TDGS systems via a prescribed differentiable transformation. Based on the theorems, we use two-coupled Ikeda equations as the driving system to construct TDGS driven systems via two prescribed transformations. Numerical simulations demonstrate the effectiveness of the proposed theorems. It may be expected that our theorems provide new tools for understanding and studying TDGS phenomena.
Abstract：We establish two theorems for two time-delayed (chaotic) differential equation systems to achieve time-delayed generalized synchronization (TDGS). The theorems uncover general forms of two TDGS systems via a prescribed differentiable transformation. Based on the theorems, we use two-coupled Ikeda equations as the driving system to construct TDGS driven systems via two prescribed transformations. Numerical simulations demonstrate the effectiveness of the proposed theorems. It may be expected that our theorems provide new tools for understanding and studying TDGS phenomena.
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2009, Vol. 26 
