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Alternative Criterion for Investigation of Pitchfork Bifurcations of Limit Cycle in Relay Feedback Systems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Relay feedback systems are strongly nonlinear due to their switching properties. Some nonlinear properties of relay feedback systems have been verified to be preferable to modern control engineering, whereas others might ...
Neimark-Sacker Bifurcations Near Degenerate Grazing Point in a Two Degree-of-Freedom Impact Oscillator
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Saddle-node or period-doubling bifurcations of the near-grazing impact periodic motions have been extensively studied in the impact oscillators, but the near-grazing Neimark-Sacker bifurcations have not been discussed yet. ...
Feedback Control of Grazing-Induced Chaos in the Single-Degree-of-Freedom Impact Oscillator
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Based on the special dynamical property of continuous transition at certain degenerate grazing points in the single-degree-of-freedom impact oscillator, the control problem of the grazing-induced chaos is investigated in ...