Estimation of the maximal Lyapunov exponent of nonsmooth systems using chaos synchronization
نویسندگان
چکیده
The maximal Lyapunov exponent of a nonsmooth system is the lower bound for the proportional feedback gain necessary to achieve full state synchronization. In this paper, we prove this statement for the general class of nonsmooth systems in the framework of measure differential inclusions. The results are used to estimate the maximal Lyapunov exponent using chaos synchronization, which is illustrated using a mechanical impact oscillator.
منابع مشابه
Synchronization-based Estimation of the Maximal Lyapunov Exponent of Nonsmooth Systems
Lyapunov exponents of chaotic attractors are hard to estimate, especially for non-smooth systems. One method to estimate the maximal Lyapunov exponent is by using its relationship with the synchronization properties of coupled systems. The maximal Lyapunov exponent is equal to the minimal proportional feedback gain necessary to achieve full state synchronization with a replica system. In this p...
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