2011•Acta Physica SinicaOpen access

Sprott system locked on chaos with constant Lyapunov exponent spectrum and its anti-synchronization

Chunbiao Li, Xu Ke-Sheng, Hu Wen

Abstract

Chaos realization in Sprott system depends on the nonlinear function of single absolute term. Under this condition, the chaos in the system is locked with constant Lyapunov exponent spectrum by introducing new control parameters. So the amplitude and the phase of the signal output in the system can be controlled and modulated. Anti-synchronization system is constructed, and anti-synchronization is obtained by introducing only one control term in the response system based on Lyapunov potential function method.

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Key concepts: Lyapunov exponent, Synchronization (alternating current), Synchronization of chaos, Constant (computer programming), Control theory (sociology), Realization (probability), Nonlinear system, Lyapunov function