Uniformly Hyperbolic Attractor of the Smale-Williams Type for a Poincaré Map in the Kuznetsov System

Hyperbolic systems of dissipative type, contracting the phase space volume, manifest robust attractors. There are several classes of discrete time systems which produce hyperbolic nontrivial attractor – like the Plykin attractors [P] or the Smale attractors [KH]. Recently, Kuznetsov [K] proposed a continuous model for which there is a good numerical… CONTINUE READING