Matlab code for LEs of non-commensurate FO

Program to compute LEs of autonomous continuous systems of non-commensurate Caputo's Fractional Order

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April 2026: An improved Matlab routine, FO_LE, for numerical computation of the Lyapunov exponents of fractional-order systems modeled by Caputo’s derivative, conceived as an enhanced version of the former FO_Lyapunov and FO_NC_Lyapunov codes for commensurate and non-commensurate orders, respectively can be uploaded at
The code replaces the Gram–Schmidt orthogonalization procedure with QR-based reorthonormalization, and uses the new quadratic LIL predictor–corrector scheme LIL_nc
for the integration of the extended variational system.
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The program, determines the Lyapunov Exponents (LEs) of non-commensurate Fractional Order (FO) autonomous continuous-time system modeled by Capto's derivative (cite [1])
For the proof of memory principle of the algorithm see [2]

Cita come

Marius-F. Danca (2026). Matlab code for LEs of non-commensurate FO (https://it.mathworks.com/matlabcentral/fileexchange/122377-matlab-code-for-les-of-non-commensurate-fo), MATLAB Central File Exchange. Recuperato .

[1] Marius.-F. Danca, Matlab code for Lyapunov exponents of fractional-order systems, Part II: The non-commensurate case, International Journal of Bifurcation and Chaos, 31(12), 2150187, (2021)

[2] Marius-F. Danca, Michal Feckan, Memory Principle of the MATLAB Code for Lyapunov Exponents of Fractional-Order, International Journal of Bifurcation and Chaos, 2024, 2450156

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Informazioni generali

Compatibilità della release di MATLAB

  • Compatibile con qualsiasi release

Compatibilità della piattaforma

  • Windows
  • macOS
  • Linux
Versione Pubblicato Note della release Action
1.0.3

New improved version

1.0.2

New reference

1.0.1