Abstract
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.
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Pavlovskaia, E.E., Wiercigroch, M. (2005). Two Dimensional Map for Impact Oscillator with Drift. In: Rega, G., Vestroni, F. (eds) IUTAM Symposium on Chaotic Dynamics and Control of Systems and Processes in Mechanics. Solid Mechanics and its Applications, vol 122. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3268-4_29
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DOI: https://doi.org/10.1007/1-4020-3268-4_29
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-3267-7
Online ISBN: 978-1-4020-3268-4
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