(ThealogrithmemployedinthistoolboxfordeterminingLyapunovexponentsisaccordingtothealgorithmsproposedin[1]A.Wolf,J.B.Swift,H.L.Swinney,andJ.A.Vastano,"DeterminingLyapunovExponentsfromaTimeSeries,"PhysicaD,Vol.16,pp.285-317,1985.[2]J.P.EckmannandD.Ruelle,"ErgodicTheoryofChaosandStrangeAttractors,"Rev.Mod.Phys.,Vol.57,pp.617-656,1985.Thealgorithmgivenin[1]isusedforfirst-ordersystemswhiletheQR-basedalgorithmproposedin[2]isappliedforhigherordersystems.bySteveW.K.SIU,July5,1998.) - IMDN开发者社群-imdn.cn">

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findlyap

于 2010-11-15 发布文件大小:4KB

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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. )

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