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.
Dynamical systems General piecewise spline method Invariant measure and invariant density Lyapunov exponents Maximum entropy optimization method
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 20 Aralık 2019 |
Gönderilme Tarihi | 4 Temmuz 2019 |
Kabul Tarihi | 16 Kasım 2019 |
Yayımlandığı Sayı | Yıl 2019 Cilt: 2 Sayı: 2 |