58 citations · 174 across the 12 of their papers we have counts for
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On Hyperbolic Attractors in Complex Shimizu -- Morioka Model
V. P. Kruglov, I. R. Sataev
We present a modified complex-valued Shimizu -- Morioka system with uniformly hyperbolic attractor. The numerically observed attractor in Poincaré cross-section is topologically cl…
On the origin of chaotic attractors with two zero Lyapunov exponents in a system of five biharmonically coupled phase oscillators
Evgeny A. Grines, Alexey O. Kazakov, Igor R. Sataev
We study chaotic dynamics in a system of four differential equations describing the dynamics of five identical globally coupled phase oscillators with biharmonic coupling. We show…
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…
Parameter space arrangement of a model system nearby domain of existence of Plykin type attractor
Sergey P. Kuznetsov, Igor R. Sataev
For a model system defined as combination of sequentially applied continuous transformations of a sphere, the question of arrangement of the parameter space around the domain of ex…
Bernoulli mapping with hole and a saddle-node scenario of the birth of hyperbolic Smale--Williams attractor
Olga B. Isaeva, Igor R. Sataev
One-dimensional Bernoulli mapping with hole is suggested to describe the regularities of the appearance of a chaotic set under the saddle-node scenario of the birth of the Smale--W…
Discrete Shilnikov attractor and chaotic dynamics in the system of five identical globally coupled phase oscillators with biharmonic coupling
Evgeny A. Grines, Alexei O. Kazakov, Igor R. Sataev
We argue that a discrete Shilnikov attractor exists in the system of five identical globally coupled phase oscillators with biharmonic coupling. We explain the scenario that leads…