Detection of the chaotic behaviour of a bouncing ball by the 0–1 test

G. Litak, A. Syta, M. Budhraja and L.M. Saha

Chaos, Solitons & Fractals, 2009, vol. 42, issue 3, 1511-1517

Abstract: We examine the two-dimensional map of a bouncing ball system. To distinguish between periodic and chaotic solutions we propose the 0–1 test. This method is based on the spectral properties of chaotic system quantifying the system response: 0 for the regular and 1 for the chaotic solution. The obtained results have been confirmed by the calculation of the maximal Lyapunov exponent defined by the product of Jacobian matrices calculated along corresponding trajectories.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:3:p:1511-1517

DOI: 10.1016/j.chaos.2009.03.048

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