Two Dimensional Map for Impact Oscillator with Drift
Part of the
Solid Mechanics and its Applications
book series (SMIA, volume 122)
An impact oscillator with a drift is considered. Using a simple co-ordinates transformation the bounded oscillations are separated from the drift. In general the dynamic state of the system is fully described by four variables: time, τ, relative displacement, p, and velocity, y, of the mass and relative displacement of the slider top, q. However, this number can be reduced by two if the beginning of the progression phase is monitored. In this paper a new two dimensional numerical map is developed and its dynamics is discussed.
Key wordsImpact oscillator drift two dimensional map bifurcations
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