抄録
Chaos Degree (CD),proposed by Ohya, behaves like the Lyapunov exponent (LE). CD has a significant
advantage because it can be calculated from data without knowing the dynamical systems or equations
that produced the data. However, a non-negligible quantitative difference exists between CD and
LE. Recently our research has shown that the quantitative differences between CD and LE can be explained
by information theory under the assumption that the data are uniformly distributed. We defined
a Modified CD that eliminates the difference. This paper explains the estimation of the Lyapunov exponent
using Modified CD and its properties.