Lyapunov Exponents for ODE

Calculation Lyapunov Exponents for ODE, open source MATLAB code: Lyapunov exponent calcullation for ODE-system. The alogrithm employed in this m-file for determining Lyapunov exponents was proposed in A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, ”Determining Lyapunov Exponents from a Time Series,” Physica D, Vol. 16, pp. 285-317, 1985. For integrating ODE system can be used any MATLAB ODE-suite methods. This function is a part of MATDS program - toolbox for dynamical system investigation See: http://www.math.rsu.ru/mexmat/kvm/matds/

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References in zbMATH (referenced in 4 articles )

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  1. Danca, Marius-F.: Lyapunov exponents of a class of piecewise continuous systems of fractional order (2015)
  2. Revel, G.; Alonso, D. M.; Moiola, J. L.: A degenerate 2:3 resonant Hopf-Hopf bifurcation as organizing center of the dynamics: numerical semiglobal results (2015)
  3. Zapateiro De la Hoz, Mauricio; Acho, Leonardo; Vidal, Yolanda: A modified Chua chaotic oscillator and its application to secure communications (2014)
  4. Wolf, Alan; Swift, Jack B.; Swinney, Harry L.; Vastano, John A.: Determining Lyapunov exponents from a time series (1985)