## Chaotic dynamics of a bouncing ball.(English)Zbl 0597.58018

A mapping of a half cylinder $$R^+_ 0\times S^ 1$$ onto itself is examined, which is framed in terms of a pair of difference equations: $v_{n+1}=\epsilon v_ n+(1+\epsilon)(1+\sin \vartheta_ n),$
$\vartheta_{n+1}=\vartheta_ n+Bv_{n+1}mod 2\pi.$ The evolution of the attracting set with changing parameter and the behaviour of Lyapunov exponents in the quasiperiodic regime under the influence of external noise are discussed.
Reviewer: K.Sibirskij

### MSC:

 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
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### References:

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