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Title of Article

ON PENDULUM MOTION UNDER THE INFLUENCE OF A PERIODIC MOMENT


Issue
3
Date
2011

Article type
scientific article
UDC
517.92
Pages
83-86
Keywords
periodic motions, stability, bifurcations, point mapping method, fixed point


Authors
Kiseleva Natalya Vladimirovna
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo

Shishkin Aleksey Aleksandrovich
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo


Abstract
By means of qualitative numerical analysis methods, we study periodic pendulum motion described by a nonlinear nonautonomous three-parametric differential equation under the influence of a periodic moment. In the restricted range of the parameter space that represents the greatest interest, the stability diagrams for periodic rotations are built. Bifurcations leading to their excitation and changing the nature of stability are found. Existence domains of 2?- and 4?-periodic steady-state regimes are obtained.

File (in Russian)