58 citations · 190 across the 19 of their papers we have counts for
21 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…
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…
Synchronization of coupled generators of quasiperiodic oscillations
Nataliya Stankevich, Alexander Kuznetsov
The dynamics of two coupled generators of quasiperiodic oscillations is studied. The opportunity of complete and phase synchronization of generators in the regime of quasiperiodic…
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…
Four-dimensional system with torus attractor birth via saddle-node bifurcation of limit cycles in content of family of blue sky catastrophes
Alexander P. Kuznetsov, Sergey P. Kuznetsov, Nataliya V. Stankevich
A new four-dimensional model with quasi-periodic dynamics is suggested. The torus attractor originates via the saddle-node bifurcation, which may be regarded as a member of a bifur…
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.…