Proposal of Improved Chaos Degree Based on Interpretation of the Difference Between Chaos Degree and Lyapunov Exponent

Abstract

Abstract. Lyapunov Exponent is commonly used as a measure of chaos. Chaos Degree is propsed as another measure of chaos based on information theory. The advantage of Chaos Degree is that it is calculable from data. However, there is a difference between Chaos Degree and Lyapunov Exponent and determination of chaos requires caution by using Chaos Degree. This paper shows information-theoretic interpretation of the difference and proposes improvement of Chaos Degree in consideration of the difference.