Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2010-02-11
Acta Mech. Sinica 27(1) (2011) 130-134
Nonlinear Sciences
Chaotic Dynamics
LaTeX, 11 pages, 7 figures
Scientific paper
10.1007/s10409-011-0406-3
We study dynamics of a ball moving in gravitational field and colliding with a moving table. The motion of the limiter is assumed as periodic with piecewise constant velocity - it is assumed that the table moves up with a constant velocity and then moves down with another constant velocity. The Poincare map, describing evolution from an impact to the next impact, is derived and scenarios of transition to chaotic dynamics are investigated analytically.
Okninski Andrzej
Radziszewski Boguslaw
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