Periodic Orbits Close to Grazing for an Impact Oscillator
Chillingworth, David ; Nordmark, Arne
HAL, hal-01508933 / Harvested from HAL
Text on HAL
We show how the geometric impact surface approach to the dynamics of an impact oscillator provides an immediate visualization of the criteria that determine the existence of an impacting periodic orbit close to grazing. We recover the criteria set out earlier by A. Nordmark and indicate how the geometric setting and singularity geometry may be exploited to yield appropriate criteria in degenerate situations where the Nordmark criteria would not apply.
Publié le : 2013-07-27
Classification:  [MATH]Mathematics [math] 
@article{hal-01508933,
     author = {Chillingworth, David and Nordmark, Arne},
     title = {Periodic Orbits Close to Grazing for an Impact Oscillator},
     journal = {HAL},
     volume = {2013},
     number = {0},
     year = {2013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01508933}
}

Chillingworth, David; Nordmark, Arne. Periodic Orbits Close to Grazing for an Impact Oscillator. HAL, Tome 2013 (2013) no. 0, . http://gdmltest.u-ga.fr/item/hal-01508933/