Geodesic
Chaos generator with the Smale–Williams attractor based on oscillation death
Russian journal of nonlinear dynamics, Tome 13 (2017) no. 3, pp. 303-315

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A nonautonomous system with a uniformly hyperbolic attractor of Smale–Williams type in a Poincaré cross-section is proposed with generation implemented on the basis of the effect of oscillation death. The results of a numerical study of the system are presented: iteration diagrams for phases and portraits of the attractor in the stroboscopic Poincaré cross-section, power density spectra, Lyapunov exponents and their dependence on parameters, and the atlas of regimes. The hyperbolicity of the attractor is verified using the criterion of angles.
Keywords: uniformly hyperbolic attractor, Smale–Williams solenoid, oscillation death, Lyapunov exponents.
Mots-clés : Bernoulli map 
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     author = {V. M. Doroshenko and V. P. Kruglov and S. P. Kuznetsov},
     title = {Chaos generator with the {Smale{\textendash}Williams} attractor based on oscillation death},
     journal = {Russian journal of nonlinear dynamics},
     pages = {303--315},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2017_13_3_a0/}
}
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V. M. Doroshenko; V. P. Kruglov; S. P. Kuznetsov. Chaos generator with the Smale–Williams attractor based on oscillation death. Russian journal of nonlinear dynamics, Tome 13 (2017) no. 3, pp. 303-315. http://geodesic.mathdoc.fr/item/ND_2017_13_3_a0/