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Search - Determining lyapunov exponents from a time series

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[matlab] lyapunov

Description: 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/
Platform: | Size: 4096 | Author: b | Hits:

[matlab] findlyap

Description: The alogrithm employed in this toolbox for determining Lyapunov exponents is according to the algorithms proposed in [1] 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. [2] J. P. Eckmann and D. Ruelle, "Ergodic Theory of Chaos and Strange Attractors," Rev. Mod. Phys., Vol. 57, pp. 617-656, 1 The algorithm given in [1] is used for first-order systems while the QR-based algorithm proposed in [2] is applied for higher order systems. by Steve W. K. SIU, July 5, 1998. -The alogrithm employed in this toolbox for determining Lyapunov exponents is according to the algorithms proposed in [1] 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. [2] J. P. Eckmann and D. Ruelle, "Ergodic Theory of Chaos and Strange Attractors," Rev. Mod. Phys., Vol. 57, pp. 617-656, 1985. The algorithm given in [1] is used for first-order systems while the QR-based algorithm proposed in [2] is applied for higher order systems. by Steve W. K. SIU, July 5, 1998.
Platform: | Size: 4096 | Author: LI jian | Hits:

[matlab] rossler2

Description: Rossler equation 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.-Rossler equation dx =-y- z dy = x+ a*y dz = b+ z*(x-c)
Platform: | Size: 1024 | Author: Vincent | Hits:

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