The nonlinear circuit with serial-parallel memristors shows special internal characteristics and external performance, which indicates that the serial-parallel memristors can greatly change the dynamic characteristics...
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The nonlinear circuit with serial-parallel memristors shows special internal characteristics and external performance, which indicates that the serial-parallel memristors can greatly change the dynamic characteristics of the nonlinear system. Mathematical model of the system is established to analyze the influence of the serial-parallel memristors on the dynamical behaviors with the change of system parameters, and then the basin of attraction is used to exhibit the coexisting multiple attractors with different initial conditions and the serial-parallel memristors, which can reveal that the serial-parallel flux-controlled or charge-controlled memristors have different effects on the generation of chaos and multistability phenomenon. Moreover, the hardware description of memristor-based system through FPGA is realized by Verilog language and the experimental results are observed from digital oscilloscope. Finally, based on the Lyapunov stability theory and adaptive control law, a nonlinear controller is designed to achieve the adaptive generalized synchronization between five memristor-based chaotic systems, and numerical results of the adaptive generalized synchronization are presented to prove the correctness and effectiveness of the proposed method.
This paper considers the generalizedsynchronization problems of two different hyperchaotic systems with unknown parameters. By denoting the synchronization error signals as the difference between the state variables ...
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ISBN:
(纸本)9781424458479
This paper considers the generalizedsynchronization problems of two different hyperchaotic systems with unknown parameters. By denoting the synchronization error signals as the difference between the state variables of the drive system and the state variables of the response system, the hyperchaotic synchronization problem is transformed into the stabilization control problem of the origin of the synchronization error system. Based on the Lyapunov stability, a new adaptivesynchronization controller is designed and the asymptotic stability of the origin of the synchronization error system is proved. simulation results illustrate the correctness of the proposed generalizedsynchronization method.
This paper considers the generalizedsynchronization problems of two different hyperchaotic systems with unknown parameters. By denoting the synchronization error signals as the difference between the state variables ...
详细信息
This paper considers the generalizedsynchronization problems of two different hyperchaotic systems with unknown parameters. By denoting the synchronization error signals as the difference between the state variables of the drive system and the state variables of the response system, the hyperchaotic synchronization problem is transformed into the stabilization control problem of the origin of the synchronization error system. Based on the Lyapunov stability, a new adaptivesynchronization controller is designed and the asymptotic stability of the origin of the synchronization error system is proved, simulation results illustrate the correctness of the proposed generalizedsynchronization method.
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