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

Year 2019, Volume: 2 Issue: 2, 130 - 138, 20.12.2019

Md Shafiqul Islam

https://doi.org/10.33401/fujma.587245

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

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