multistability and self-similarity in the parameter-space of a vibro-impact system
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ID: 252697
2009
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Abstract
The dynamics of a dissipative vibro-impact system called impact-pair is investigated. This
system is similar to Fermi-Ulam accelerator model and consists of an oscillating one-dimensional
box containing a point mass moving freely between successive inelastic collisions with the rigid
walls of the box. In our numerical simulations, we observed multistable regimes, for which the
corresponding basins of attraction present a quite complicated structure with smooth boundary.
In addition, we characterize the system in a two-dimensional parameter space by using the largest
Lyapunov exponents, identifying self-similar periodic sets.
| Reference Key |
souza2009mathematicalmultistability
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|---|---|
| Authors | ;Silvio L. T. de Souza;Iberê L. Caldas;Ricardo L. Viana |
| Journal | journal of power sources |
| Year | 2009 |
| DOI |
10.1155/2009/290356
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| URL | |
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