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The Hénon attractor is a fractal, smooth in one direction and a Cantor set in another. Numerical estimates yield a correlation dimension of 1.21 ± 0.01 or 1.25 ± 0.02 [2] (depending on the dimension of the embedding space) and a Box Counting dimension of 1.261 ± 0.003 [3] for the attractor of the classical map.
Michel Hénon (French:; 23 July 1931, Paris – 7 April 2013, Nice) was a French mathematician and astronomer. [1] He worked for a long time at the Nice Observatory.. In astronomy, Hénon is well known for his contributions to stellar dynamics.
Not topologically conjugate to the Lorenz attractor. Chen-Celikovsky system [10] continuous: real: 3 ... This page was last edited on 12 June 2024, at 23:43 (UTC).
Visual representation of a strange attractor. [1] Another visualization of the same 3D attractor is this video.Code capable of rendering this is available.. In the mathematical field of dynamical systems, an attractor is a set of states toward which a system tends to evolve, [2] for a wide variety of starting conditions of the system.
Contour plot of the Hénon–Heiles potential. While at Princeton University in 1962, Michel Hénon and Carl Heiles worked on the non-linear motion of a star around a galactic center with the motion restricted to a plane.
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Hausdorff dimension (exact value) Hausdorff dimension (approx.) Name Illustration Remarks Calculated: 0.538: Feigenbaum attractor: The Feigenbaum attractor (see between arrows) is the set of points generated by successive iterations of the logistic map for the critical parameter value =, where the period doubling is infinite.
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