13 citations · 16 across the 8 of their papers we have counts for
9 papers
Analysis of three non-identical Josephson junctions by the method of Lyapunov exponents charts
Alexander P. Kuznetsov, Igor R. Sataev, Pavel V. Kuptsov +1
A system of three non-identical Josephson junctions connected via an RLC circuit is considered. The method of Lyapunov exponents charts is used, which makes it possible to identify…
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…
The simplest map with three-frequency quasi-periodicity and quasi-periodic bifurcations
A. P. Kuznetsov, Yu. V. Sedova
We propose a new three-dimensional map that demonstrates the two- and three-frequency quasi-periodicity. For this map all basic quasi-periodic bifurcations are possible. The study…
Oscillations and synchronization in a system of three reactively coupled oscillators
Alexander P. Kuznetsov, Ludmila V. Turukina, Nikolai Yu. Chernyshov +1
We consider a system of three interacting van der Pol oscillators with reactive coupling. Phase equations are derived, using proper order of expansion over the coupling parameter.…
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…
Quasi-periodic oscillations in a network of four Rossler chaotic oscillators
Alexander P. Kuznetsov, Igor R. Sataev, Yuliya V. Sedova +1
We consider a network of four non-identical chaotic Rossler oscillators. The possibility is shown of appearance of two-, three- and four-frequency invariant tori resulting from sec…
About hierarchy of multifrequency quasiperiodicity regimes in discrete low-dimensional Kuramoto model
Alexander P. Kuznetsov, Yuliya V. Sedova
A dynamics of a low-dimensional ensemble consisting of connected in a network five discrete phase oscillators is considered. A two-parameter synchronization picture which appears i…