Lyapunov exponents of fractional-order Chen systems

Version 1.0.1 (3.94 KB) by Hang Li
Matlab code for Lyapunov exponents of 4D hyperchaotic fractional-order Chen systems
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Updated 22 Oct 2023

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  1. MATLAB Code for computing the Lyapunov exponent of 4D hyperchaotic fractional-order Chen systems. The 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 4D integer-order Chen 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

Hang Li (2026). Lyapunov exponents of fractional-order Chen systems (https://www.mathworks.com/matlabcentral/fileexchange/137586-lyapunov-exponents-of-fractional-order-chen-systems), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2021b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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1.0.1

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1.0.0