Estimation of Lyapunov Exponents with use of Automatic Differentiation
Published: 27 February 2025| Version 1 | DOI: 10.17632/9k4n5m9d6f.1
Contributors:
, Description
The dataset contains Python scripts connected with estimation of Lyapunov Exponents with use of Automatic Differentiation. They show that: a) Automatic Differentiation (AD) can be successfully applied in Lyapunov Exponents (LEs) estmination; b) AD approach is slighlty less accurate then the one based on the variational equation; b) AD approach is less efficient then the one based on the variational equation.
Files
Steps to reproduce
Scripts have been tested using Python 3.12.5 and JAX 0.4.37, which can be installed using "pip" package manager.
Institutions
Politechnika Lodzka Wydzial Mechaniczny
Categories
Nonlinear Dynamical Systems, Chaos Theory, Computational Method in Nonlinear Dynamics
Funding
Lodz University of Technology
RNCWN/WFS/6/2024