Recognition and Analyzing the Influence of Chaotic Oscillations on Markov Process Using Numerical Simulation Based on Qualitative Methods

Abstract

This paper focuses on analyzing the influence of chaotic oscillations on Markov process using numerical simulation based on qualitative methods to detect different types of chaotic oscillations depending on Transition-Probability matrix of Markov process. The dissipative chaotic system whose evolution is given by set of ordinary differential equations had been considered and the results of limited probabilities of different types of chaotic processes had been calculated and verified.