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Lyapunov Dimension

المؤلف:  Frederickson, P.; Kaplan, J. L.; Yorke, E. D.; and Yorke, J. A

المصدر:  "The Liapunov Dimension of Strange Attractors." J. Diff. Eq. 49

الجزء والصفحة:  ...

11-10-2021

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Lyapunov Dimension

For a two-dimensional map with ,

where  are the Lyapunov characteristic exponents.

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REFERENCES:

Frederickson, P.; Kaplan, J. L.; Yorke, E. D.; and Yorke, J. A. "The Liapunov Dimension of Strange Attractors." J. Diff. Eq. 49, 185-207, 1983.

Nayfeh, A. H. and Balachandran, B. Applied Nonlinear Dynamics: Analytical, Computational, and Experimental Methods. New York: Wiley, p. 549, 1995.