Lyapunov Dimension
For a 2-D Map with 
,
where
are the Lyapunov Characteristic Exponents.See also Capacity Dimension, Kaplan-Yorke Conjecture
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.
- Gauss Measure
- Gauss Multiplication Formula
- Gauss Plane
- Gauss-Salamin Formula
- Gauss's Backward Formula
- Gauss's Circle Problem
- Gauss's Class Number Conjecture
- Gauss's Class Number Problem
- Gauss's Constant
- Gauss's Criterion
- Gauss's Double Point Theorem
- Gauss's Equation (Radius Derivatives)
- Gauss's Formula
- Gauss's Formulas
- Gauss's Forward Formula
- Gauss's Harmonic Function Theorem
- Gauss's Hypergeometric Theorem
- Gauss's Inequality
- Gauss's Interpolation Formula
- Gauss's Lemma
- Gauss's Machin-Like Formula
- Gauss's Mean-Value Theorem
- Gauss's Polynomial Theorem
- Gauss's Reciprocity Theorem
- Gauss's Test