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.