Estimation of the largest Lyapunov exponent from the perturbation vector and its derivative dot product

Author:

Dabrowski Artur

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Reference35 articles.

1. Bennettin, G., Froeschle, C., Scheidecker, J.P.: Kolmogorov entropy of a dynamical system with increasing number of degrees of freedom. Phys. Rev. A 19, 2454–2460 (1979)

2. Grassberger, P., Procaccia, I.: Characterization of strange attractors. Phys. Rev. Lett. 50, 346–349 (1983)

3. Alligood, K.T., Sauer, T.D., Yorke, JA: Chaos an Introduction to Dynamical Systems. Springer, New York (2000)

4. Eckmann, J.-P., Ruelle, D.: Ergodic theory of chaos and strange attractors. Rev. Mod. Phys. 57, 617–656 (1985)

5. Oseledec, V.I.: A multiplicative ergodic theorem: Lyapunov characteristic numbers for dynamical systems. Trans. Mosc. Math. Soc. 19, 197–231 (1968)

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