Noise-induced basin hopping in a vibro-impact system

Silvio L.T. de Souza, Antonio M. Batista, Iberê L. Caldas, Ricardo L. Viana and Tomasz Kapitaniak

Chaos, Solitons & Fractals, 2007, vol. 32, issue 2, 758-767

Abstract: The dynamics of vibro-impact systems of engineering interest is numerically studied by means of a prototype consisting of an oscillating cart containing a ball undergoing inelastic collisions with its walls. We have described a multistable regime, for which different attractors coexist with a complicated basin boundary structure in the phase space. We investigated the effect of adding a certain amount of parametric noise in this model, focusing on the basin hopping, i.e., the intermittent switching between basins of different attractors.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:32:y:2007:i:2:p:758-767

DOI: 10.1016/j.chaos.2005.11.056

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