Dynamic analysis and fast synchronization control of memristor chaotic systems
In order to verify the dynamic complexity of the memristor chaotic system and realize the fast syn-chronization of the complex system,the most simple parallel memristor chaotic system is constructed by using the nonlinear characteristic of the memristor.By using Lyapunov exponent(LE),a series of spatial complex be-haviors such as period,weak chaos and strong chaos of the system with single and multi-parameters are ana-lyzed in detail.The evolution of period-doubling bifurcation and chaos is illustrated by using the phase dia-gram plane.The drive-response synchronization algorithm and exponential reaching rate synchronization algo-rithm are used to realize system synchronization under uncertain initial conditions.The experimental results show that the system can produce rich dynamic characteristics.Compared with the drive-response synchroniza-tion algorithm,the exponential approach rate synchronization algorithm greatly improves the synchronization speed of the system,in order to further verify the effectiveness of the proposed method.Compared with the exist-ing memoryresistive chaotic coupling synchronization algorithm,the results show that the exponential reaching rate synchronization algorithm has shorter synchronization time.
chaotic systemsmemristordynamicsfast synchronization control
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