The two-dimensional map
 |  | ![[x_n+nu(1+muy_n)+epsilonnumucos(2pix_n)] (mod 1)](/images/equations/ZaslavskiiMap/Inline3.svg) |
(1)
|
 |  | ![e^(-Gamma)[y_n+epsiloncos(2pix_n)],](/images/equations/ZaslavskiiMap/Inline6.svg) |
(2)
|
where
 |
(3)
|
(Zaslavskii 1978). It has correlation exponent 
(Grassberger and Procaccia
1983) and capacity dimension 1.39 (Russell
et al. 1980).
Zaslavskii Map
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References
Grassberger, P. and Procaccia, I. "Measuring the Strangeness of Strange Attractors." Physica D 9, 189-208, 1983.Russell, D. A.; Hanson, J. D.; and Ott, E. "Dimension of Strange Attractors." Phys. Rev. Let. 45, 1175-1178, 1980.Zaslavskii, G. M. "The Simplest Case of a Strange Attractor." Phys. Let. 69A, 145-147, 1978.Referenced on Wolfram|Alpha
Zaslavskii MapCite this as:
Weisstein, Eric W. "Zaslavskii Map." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ZaslavskiiMap.html