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

Md Shafiqul ISLAM

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

Makale detayları

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

Yazarlar:

Md Shafiqul ISLAM

Yayıncı:

Fuat USTA

Ana Başlıklar:

Matematik

Dergi:

Fundamental Journal of Mathematics and Applications 2019 Vol.2 Issue 2, pp.130-138

Belge Tipi:

Makale

Yayın Tarihi:

12/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000422163

pISSN:

2645-8845

DOI:

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

Özet:

 


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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Makale detayları

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

Yazarlar: Md Shafiqul ISLAM

Yayıncı: Fuat USTA

Ana Başlıklar: Matematik

Dergi: Fundamental Journal of Mathematics and Applications 2019 Vol.2 Issue 2, pp.130-138

Belge Tipi: Makale

Yayın Tarihi: 12/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000422163

pISSN: 2645-8845

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

Sayı

Yazarlar:

Md Shafiqul ISLAM

Yayıncı:

Fuat USTA

Ana Başlıklar:

Matematik

Dergi:

Fundamental Journal of Mathematics and Applications 2019 Vol.2 Issue 2, pp.130-138

Belge Tipi:

Makale

Yayın Tarihi:

12/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000422163

pISSN:

2645-8845

DOI:

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