For a two-dimensional map with ,
where
are the Lyapunov characteristic exponents.
See also
Capacity Dimension,
Kaplan-Yorke
Conjecture
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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.Referenced on Wolfram|Alpha
Lyapunov Dimension
Cite this as:
Weisstein, Eric W. "Lyapunov Dimension."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LyapunovDimension.html
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