S. Verichev
42 records found
1
Authored
Mathematical methods used to study the stability of lumped objects moving along distributed elastic guides have been reviewed. The main stages of mathematical analysis of the stability of an object moving along an elastic guide are listed (for the case of linear models). All thes
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The effect of the dead weight on stability of a vehicle moving along a periodically inhomogeneous elastic guide has been studied. The account of the dead weight has been shown not to affect the system stability but to lead to a linear resonance.@en
The existence and stability of stationary cluster structures in uniform chains of dissipatively coupled rotators is investigated. Cluster synchronization is interpreted as the classical synchronization of cluster rotators, which are elementary structure-forming objects. The compl
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Asymptotic theory of synchronization of chaotic oscillations of non-identical dynamic systems with dissipative connection is proposed. Various cases of the non-identity degree, when the synchronization is asymptotically close to the identical one, are considered for the dynamic s
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The dynamics of a vibrational mechanism with an energy source of limited power is considered. A system of two degrees of freedom is reduced to a system of the Lorenz type by the method of averaging. The existence of one of the types of chaotic attractors in a dynamical system whi
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The alternative theory of existence of cluster structures in lattices of dynamical systems (oscillators) is proposed. This theory is based on representation of structures as a result of classical (full) synchronization of structural objects called cluster oscillators (C-oscillato
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The equivalent dynamic rigidity of the Timoshenko beam resting on an elastoviscous base and interacting with a point object moving uniformly on it is studied. A generic relation for the equivalent rigidity of the beam is obtained and analyzed. The equivalent rigidity is studied a
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