Hénon Map
A quadratic 2-D Map given by the equations
 |  |  | (1) |
 | |  | (2) |
or
| |  | (3) |
| |  | (4) |
The above map is for
and 
. The Hénon map has Correlation Exponent 
(Grassberger and Procaccia 1983) and Capacity Dimension 
(Russell et al. 1980). Hitzl and Zele (1985)give conditions for the existence of periods 1 to 6.See also Bogdanov Map, Lozi Map, Quadratic Map
References
Dickau, R. M. ``The Hénon Attractor.''http://forum.swarthmore.edu/advanced/robertd/henon.html. Gleick, J. Chaos: Making a New Science. New York: Penguin Books, pp. 144-153, 1988. Grassberger, P. and Procaccia, I. ``Measuring the Strangeness of Strange Attractors.'' Physica D 9, 189-208, 1983. Hitzl, D. H. and Zele, F. ``An Exploration of the Hénon Quadratic Map.'' Physica D 14, 305-326, 1985. Lauwerier, H. Fractals: Endlessly Repeated Geometric Figures. Princeton, NJ: Princeton University Press, pp. 128-133, 1991. Peitgen, H.-O. and Saupe, D. (Eds.). ``A Chaotic Set in the Plane.'' §3.2.2 in The Science of Fractal Images. New York: Springer-Verlag, pp. 146-148, 1988. Russell, D. A.; Hanson, J. D.; and Ott, E. ``Dimension of Strange Attractors.'' Phys. Rev. Let. 45, 1175-1178, 1980.
- Continued Fraction Factorization Algorithm
- Continued Fraction Fundamental Recurrence Relation
- Continued Fraction Map
- Continued Fraction Unit Fraction Algorithm
- Continued Square Root
- Continued Vector Product
- Continuity
- Continuity Axioms
- Continuity Correction
- Continuity Principle
- Continuous
- Continuous Distribution
- Continuous Function
- Continuous Space
- Continuum
- Continuum Hypothesis
- Contour
- Contour Integral
- Contour Integration
- Contracted Cycloid
- Contraction
- Contraction (Graph)
- Contraction (Tensor)
- Contradiction Law
- Contravariant Tensor