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The generalized synchronization of a quantum-CNN chaotic oscillator with different order systems. (English) Zbl 1141.37017
Summary: This paper presents a special kind of the generalized synchronization of different order systems, proved by a Lyapunov asymptotic stability theorem. A sufficient condition is given for the asymptotic stability of the null solution of an error dynamics. The generalized synchronization developed may be applied to the design of secure communication. Finally, numerical results are studied for a quantum-CNN oscillator synchronized with three different order systems respectively to show the effectiveness of the proposed synchronization strategy.
MSC:
37D45Strange attractors, chaotic dynamics
94A05Communication theory
94C05Analytic circuit theory
93D05Lyapunov and other classical stabilities of control systems