Abstract Dynamics of a ball moving in gravitational field
and colliding with a moving table is studied in this paper.
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 Poincar′e map, describing evolution
from an impact to the next impact, is derived and scenarios
of transition to chaotic dynamics are investigated analytically
and numerically.
Corresponding Authors:
Andrzej Okninski
E-mail: fizao@tu.kielce.pl
Cite this article:
ANDRZEJ -Okninski,BOGUSLAW -Radziszewski. An analytical and numerical study of chaotic dynamics in a simple bouncing ball model[J]. Acta Mechanica Sinica, 2011, 27(1): 130-134.
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