12 citations · 15 across the 5 of their papers we have counts for
5 papers
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…
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…
Dynamics of phases and chaos in models of locally coupled conservative or dissipative oscillators
Vyacheslav P. Kruglov, Sergey P. Kuznetsov
We discuss Hamiltonian model of oscillator lattice with local coupling. Model describes spatial modes of nonlinear Schrödinger equation with periodic tilted potential. The Hamilton…
Smale-Williams Solenoids in a System of Coupled Bonhoeffer-van der Pol Oscillators
V. M. Doroshenko, V. P. Kruglov, S. P. Kuznetsov
The principle of constructing a new class of systems with hyperbolic chaotic attractors is proposed. It is based on using oscillators, the transfer of excitation between which is p…
Attractor of Smale-Williams type in autonomous distributed system
Vyacheslav P. Kruglov, Sergey P. Kuznetsov, Arkady Pikovsky
We consider an autonomous system of partial differential equations for one-dimensional distributed medium with periodic boundary conditions. Dynamics in time consists of alternatin…