BIFURCATIONS AND CHAOS FOR THE QUASI-PERIODIC BOUNCING BALL

Authors
DEOLIVEIRA CR GONCALVES PS
Citation
Cr. Deoliveira et Ps. Goncalves, BIFURCATIONS AND CHAOS FOR THE QUASI-PERIODIC BOUNCING BALL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(4), 1997, pp. 4868-4871
Citations number
21
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
56
Issue
4
Year of publication
1997
Pages
4868 - 4871
Database
ISI
SICI code
1063-651X(1997)56:4<4868:BACFTQ>2.0.ZU;2-U
Abstract
We investigate the influence of a second frequency on the classical pe riodic bouncing-ball problem, and call it the quasiperiodic bouncing b all. We indicate how to compute the Lyapunov exponent for implicit map s and confirm the presence of chaos for the periodic bouncing ball. We have numerically found a series of nontrivial bifurcations for the qu asiperiodic bouncing ball. We have also found several cases of nonperi odic attractors with negative Lyapunov exponents.