Pendulum Systems with Dynamical Symmetry

In this paper, we consider a class of oscillatory mechanical systems described by nonlinear second-order differential equations that contain parameters with variable dissipation and possess the property of dynamic symmetry. We study properties of mathematical models of such systems depending on para...

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Veröffentlicht in:	Journal of mathematical sciences (New York, N.Y.) N.Y.), 2017-12, Vol.227 (4), p.461-519
Hauptverfasser:	Lokshin, B. Ya, Samsonov, V. A., Shamolin, M. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Bifurcations CYLINDERS DIFFERENTIAL EQUATIONS FRICTION Functions (mathematics) MATHEMATICAL METHODS AND COMPUTING MATHEMATICAL MODELS Mathematics Mathematics and Statistics Mechanical systems MECHANICAL VIBRATIONS Nonlinear equations NONLINEAR PROBLEMS Nonlinear systems OSCILLATIONS PARAMETRIC ANALYSIS PERIODICITY Qualitative analysis Symmetry VELOCITY
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