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Title of Journal: Nonlinear Dyn

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Abbravation: Nonlinear Dynamics

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Springer Netherlands

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DOI

10.1016/0003-4975(89)90008-8

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1573-269X

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Simple model of bouncing ball dynamics displaceme

Authors: Andrzej Okniński Bogusław Radziszewski
Publish Date: 2011/05/12
Volume: 67, Issue: 2, Pages: 1115-1122
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Abstract

Nonlinear dynamics of a bouncing ball moving in gravitational field and colliding with a moving limiter is considered Displacement of the limiter is a quadratic function of time Several dynamical modes such as fixed points 2cycles grazing and chaotic bands are studied analytically and numerically It is shown that chaotic bands appear due to homoclinic structures created from unstable 2cycles in a cornertype bifurcationThis article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team

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