4 papers
Mechanical systems with hyperbolic chaotic attractors based on Froude pendulums
Vyacheslav P. Kruglov, Sergey P. Kuznetsov, Yuliya V. Sedova
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 couple…
The influence of noise on two- and three-frequency quasi-periodicity in a simple model system
A. P. Kuznetsov, S. P. Kuznetsov, Yu. V. Sedova
We discuss the effect of noise on a system with a quasi-periodicity of different dimensions. As the basic model of our research we use the simplest three-dimensional map with two-f…
Coupled systems with hyperchaos and quasiperiodicity
Alexander P. Kuznetsov, Yuliya V. Sedova
A model with hyperchaos is studied by means of Lyapunov two-parameter analysis. The regions of chaos and hyperchaos, as well as autonomous quasiperiodicity are identified. We discu…
Synchronization of forced reactively coupled van der Pol oscilators
A. P. Kuznetsov, L. V. Turukina, N. Yu. Chernyshov +1
Synchronization of forced reactively coupled van der Pol oscillators is investigated in the phase approximation. We discuss essential features of the reactive coupling. Bifurcation…