APPLICATIONS OF THE NEW METHOD OF THE LYAPUNOV EXPONENTS ESTIMATION

In this article we show the new simple and effective method of Lyapunov Exponents (LE) estimation, based on the perturbation vector and its derivative dot product analysis. We show that presented method can be applied in different aspects of the nonlinear systems control. Moreover, our method is based on very simple computations, involving only basic mathematical operations, such as summing, subtracting, multiplying, dividing, thus it can be easier to apply than other methods. As the actual Lyapunov exponent value is calculated before the next integration step it does not involve an integration errors.