Geodesic
Mechanical Systems with Hyperbolic Chaotic Attractors Based on Froude Pendulums
Russian journal of nonlinear dynamics, Tome 16 (2020) no. 1, pp. 51-58

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We discuss two mechanical systems with hyperbolic chaotic attractors of Smale – Williams type. Both models are based on Froude pendulums. The first system is composed of two coupled Froude pendulums with alternating periodic braking. The second system is Froude pendulum with time-delayed feedback and periodic braking. We demonstrate by means of numerical simulations that the proposed models have chaotic attractors of Smale – Williams type. We specify regions of parameter values at which the dynamics corresponds to the Smale – Williams solenoid. We check numerically the hyperbolicity of the attractors.
Keywords: hyperbolic chaotic attractors, Smale – Williams solenoid
Mots-clés : Bernoulli map. 
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     author = {S. P. Kuznetsov and V. P. Kruglov and Yu. V. Sedova},
     title = {Mechanical {Systems} with {Hyperbolic} {Chaotic} {Attractors} {Based} on {Froude} {Pendulums}},
     journal = {Russian journal of nonlinear dynamics},
     pages = {51--58},
     publisher = {mathdoc},
     volume = {16},
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     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ND_2020_16_1_a4/}
}
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S. P. Kuznetsov; V. P. Kruglov; Yu. V. Sedova. Mechanical Systems with Hyperbolic Chaotic Attractors Based on Froude Pendulums. Russian journal of nonlinear dynamics, Tome 16 (2020) no. 1, pp. 51-58. http://geodesic.mathdoc.fr/item/ND_2020_16_1_a4/