58 citations · 358 across the 46 of their papers we have counts for
46 papers
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…
Some lattice models with hyperbolic chaotic attractors
Sergey P. Kuznetsov
Examples of one-dimensional lattice systems are considered, in which patterns of different spatial scales arise alternately, so that the spatial phase over a full cycle undergo tra…
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…
Complex dynamics in generalizations of the Chaplygin sleigh
Sergey P. Kuznetsov
The article considers Chaplygin sleigh on a plane in potential well, assuming that an external potential force is supplied at the mass center. Two particular cases are studied in s…
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…
Chaos and hyperchaos of geodesic flows on curved manifolds corresponding to mechanically coupled rotators: Examples and numerical study
Sergey P. Kuznetsov
A system of rotators is investigated with a constraint given by a condition of vanishing sum of the cosines of the rotation angles. Equations of the dynamics are formulated and…