Lyapunov exponents of fractional-order Lorenz systems

Version 1.0.5 (3.75 KB) by Hang Li
Matlab code for Lyapunov exponents of fractional order Lorenz systems
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Updated 21 Oct 2023

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  1. The algorithm for computing the Lyapunov exponent of fractional-order Lorenz systems. This algorithm is based on the memory principle of fractional order derivatives and has no restriction on the dimension and order of the system.
  2. When the order is set to 1, the numerical method automatically reduces to a forward Euler scheme, so the program can also be used to determine the Lyapunov exponents of integer-order Lorenz systems.
  3. For the technical details of the algorithm see Chaos, Solitons and Fractals, 2023, 168: 113167.

Cite As

Hang Li, Yongjun Shen, et al. Determining Lyapunov exponents of fractional-order systems: A general method based on memory principle, Chaos, Solitons and Fractals, 2023, 168: 113167. https://doi.org/10.1016/j.chaos.2023.113167

MATLAB Release Compatibility
Created with R2021b
Compatible with any release
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