Abstract
Some important dynamical properties of the memristor chaotic oscillator system have been studied in the paper. A novel hybrid dislocated control method and a general hybrid projective dislocated synchronization scheme have been realized for memristor chaotic oscillator system. The paper firstly presents hybrid dislocated control method for stabilizing chaos to the unstable equilibrium point. Based on the Lyapunov stability theorem, general hybrid projective dislocated synchronization has been studied for the drive memristor chaotic oscillator system and the same response memristor chaotic oscillator system. For the different dimensions, the memristor chaotic oscillator system and the other chaotic system have realized general hybrid projective dislocated synchronization. Numerical simulations are given to show the effectiveness of these methods.
Highlights
Memristor is considered to be the missing 4th passive circuit element postulated in 1971 [1]
Some important dynamical properties of the memristor chaotic oscillator system have been studied in the paper
A novel hybrid dislocated control method and a general hybrid projective dislocated synchronization scheme have been realized for memristor chaotic oscillator system
Summary
Memristor is considered to be the missing 4th passive circuit element postulated in 1971 [1]. Chaos of a memristor-based Chua’s oscillator has been controlled by backstepping method [23]. Motivated by the existing works, we focus on the chaotic control of the memristor chaotic oscillator system and a novel hybrid dislocated control synchronization scheme. Some important dynamical properties of the memristor chaotic oscillator system have been studied in the paper. Based on the Lyapunov stability theorem, a novel hybrid dislocated control method and a general hybrid projective dislocated synchronization scheme have been realized for memristor chaotic oscillator system. Some important dynamical properties of the memristor chaotic oscillator system have been gained in Section 2; in Section 3, hybrid dislocated control method for stabilizing chaos to unstable equilibrium is realized.
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