Lyapunov Exponents of One Dimensional Chaotic Dynamical Systems via a General Piecewise Spline Maximum Entropy Method

Authors : Md Shafiqul ISLAM

Pages : 130-138

Doi:10.33401/fujma.587245

View : 16 | Download : 14

Publication Date : 2019-12-20

Article Type : Research Paper

Abstract :In this paper, we study the computation of Lyapunov exponents  for deterministic dynamical systems  via a general piecewise spline maximum entropy method. We present a comparison of computations of Lyapunov exponents between a piecewise linear,  a piecewise quadratic and a piecewise cubic maximum entropy methods. In order to compute  Lyapunov exponents for deterministic maps,  we also compute density functions of their invariant measures via piecewise spline maximum entropy method. 
Keywords : Dynamical systems, General piecewise spline method, Invariant measure and invariant density, Lyapunov exponents, Maximum entropy optimization method