Families of portraits of some pendulum-like systems in dynamics
M. V. Shamolin
Institute of Mechanics, Lomonosov Moscow State University, pr. Michurinskii 1, Moscow 119192, Russia
The so-called pendulum-like systems arise in dynamics of a rigid body in a non-conservative field, in the theory of oscillations, and in theoretical physics.
In this article, the methods of analysis are described which allow us to generalize the previous results. Herewith, we deal with some qualitative questions of the theory of ordinary differential equations, the solution of which facilitates studying some dynamical systems. In result of investigating more general classes of systems, we show that these general systems possess the already known family of nonequivalent phase portraits.
We also deal with the aspect of integrability.
dynamical pendulum-like system, qualitative and numerical analysis.
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Journal of Applied and Industrial Mathematics, 2020, 14:4
M. V. Shamolin, “Families of portraits of some pendulum-like systems in dynamics”, Sib. Zh. Ind. Mat., 23:4 (2020), 144–156
Citation in format AMSBIB
\paper Families of portraits of some pendulum-like systems in dynamics
\jour Sib. Zh. Ind. Mat.
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