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- Izhevsk State Technical UniversityRU6 papers
- Russian Academy of SciencesRU6 papers
- St Petersburg UniversityRU6 papers
- Kotelnikov Institute of Radioengineering and Electronics of the Russian Academy of SciencesRU5 papers
- Moscow Institute of Physics and TechnologyRU4 papers
- Institute for High Pressure PhysicsRU3 papers
- Udmurt Federal Research Center, Ural Branch of the Russian Academy of SciencesRU3 papers
- Yuri Gagarin State Technical University of SaratovRU3 papers
- Financial UniversityRU2 papers
- Institute of Machines ScienceRU2 papers
- National Research Nuclear University MEPhIRU2 papers
- N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of SciencesRU2 papers
10 papers · 1 filter
Dynamics of the Chaplygin ball on a rotating plane
Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev
This paper addresses the problem of the Chaplygin ball rolling on a horizontal plane which rotates with constant angular velocity. In this case, the equations of motion admit area…
The Chaplygin sleigh with friction moving due to periodic oscillations of an internal mass
Ivan A. Bizyaev, Alexey V. Borisov, Sergey P. Kuznetsov
For a Chaplygin sleigh moving in the presence of weak friction, we present and investigate two mechanisms of arising acceleration due to oscillations of an internal mass. In certai…
Fermi-like acceleration and power-law energy growth in nonholonomic systems
Ivan . A. Bizyaev, Alexey V. Borisov, Valery V. Kozlov +1
This paper is concerned with a nonholonomic system with parametric excitation - the Chaplygin sleigh with time-varying mass distribution. A detailed analysis is made of the problem…
Lyapunov analysis of strange pseudohyperbolic attractors: angles between tangent subspaces, local volume expansion and contraction
Pavel V. Kuptsov, Sergey P. Kuznetsov
In this paper we analyze local structure of several chaotic attractors recently suggested in literature as pseudohyperbolic. The absence of tangencies and thus the presence of the…
The Chaplygin sleigh with parametric excitation: chaotic dynamics and nonholonomic acceleration
Ivan Bizyaev, Alexey Borisov, Ivan Mamaev
This paper is concerned with the Chaplygin sleigh with timevarying mass distribution (parametric excitation). The focus is on the case where excitation is induced by a material poi…
Numerical test for hyperbolicity in chaotic systems with multiple time delays
Pavel V. Kuptsov, Sergey P. Kuznetsov
We develop an extension of the fast method of angles for hyperbolicity verification in chaotic systems with an arbitrary number of time-delay feedback loops. The adopted method is…