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, Bernoulli map
Citation:
Kuznetsov S. P., Kruglov V. P., Sedova Y. V., Mechanical Systems with Hyperbolic Chaotic Attractors Based on Froude Pendulums, Rus. J. Nonlin. Dyn.,
2020, Vol. 16, no. 1,
pp. 51-58
DOI:10.20537/nd200105