A Method for Increasing the Accuracy in Calculating the Characteristics of Complex Dynamics of Threshold Systems

Abstract

The problem of increasing the accuracy of calculating the characteristics of complex dynamics in threshold systems is solved using the example of Lyapunov’s exponents. Despite the existence of theoretical and numerical studies that earlier have allowed one to substantiate the possibility of recovery of dynamic systems from the signals at the output of threshold systems, the problem of diagnostics of dynamics in the case of a small amount of data in the presence of noise requires a separate study. It has been shown how preliminary data processing that provides the transition to uniform sampling can significantly reduce the computation errors.