Hidden and self-excited attractors in electromechanical systems with and without equilibria

G.A. Leonov; M.A. Kiseleva; N.V. Kuznetsov

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Hidden and self-excited attractors in electromechanical systems with and without equilibria

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arxiv 1601.06909 v1 pith:XLL3EZK7 submitted 2016-01-26 math.DS nlin.CD

M.A. Kiseleva , N.V. Kuznetsov , G.A. Leonov This is my paper · ORCID

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keywords systemshiddenoscillationsactuateddrillingelectromechanicalequilibriasystem

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This paper studies hidden oscillations appearing in electromechanical systems with and without equilibria. Three different systems with such effects are considered: translational oscillator-rotational actuator, drilling system actuated by a DC-motor and drilling system actuated by induction motor. We demonstrate that all three systems experience hidden oscillations in sense of mathematical definition. But from physical point of view in certain cases it is quite easy to localize there oscillations.

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