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.
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