Belykh map

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Author: Dr. Vladimir N. Belykh, Nizhny Novgorod University, Russia

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Dr. Vladimir N. Belykh accepted the invitation on 2 November 2007 (self-imposed deadline: 2 February 2008).

This article will briefly cover:hyperbolic attractor of a 2-d piecewise linear discontinuous map,and its ergodic properties; bifurcations of the uniform continuous piecewise smooth 2-d map,exhibiting Henon, Lozi and Belykh attractors; generalized n-d continuous piecewise smooth map having hyperbolic attractor; brief sketches of the proof; background and remark on possible applications.

Invited by: Dr. Eugene M. Izhikevich, Editor-in-Chief of Scholarpedia, the peer-reviewed open-access encyclopedia
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