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The strict connection between the complete synchronization (imperfect complete synchronization) of response oscillators and their phase or generalized synchronization with the driving system (the (1 1) mode locking) is shown.
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When λ(t) = I, -I, the complete synchronization and anti-synchronization between (1) and (2) are achieved, respectively.
Second, we investigate the complete synchronization behavior in such a chaotic system under the anti-synchronization control.
During the studies on the synchronization of complex networks, most of the existing works studied the complete synchronization.
Using the same passivity-based method, the complete synchronization of the hyperchaotic system is also obtained.
We further prove that the probability of the complete synchronization converges exponentially fast.
In this paper, we investigate the complete synchronization and anti-synchronization (AS) of double-scroll chaotic attractor exhibited by an extended Bonhöffer van der Pol (BVP) oscillator, using active control technique.
Based on a suitable separation method, combined with the Lyapunov stability and the matrix measure theory, the complete synchronization and anti-synchronization for chaotic systems are investigated.
First, we design a feedback controller to realize the complete synchronization and exponential synchronization of discontinuous complex networks using a generalized Lyapunov approach.
Conversely, the path to the complete synchronization is faster for networks with a homogeneous degree distribution.
In [17], the adaptive complete synchronization between chaotic systems with fully uncertain parameters were realized.
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