Multistability and self-similarity in the parameter-space of a vibro-impact system (Q1036319)
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scientific article; zbMATH DE number 5632464
| Language | Label | Description | Also known as |
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| English | Multistability and self-similarity in the parameter-space of a vibro-impact system |
scientific article; zbMATH DE number 5632464 |
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Multistability and self-similarity in the parameter-space of a vibro-impact system (English)
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13 November 2009
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Summary: 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.
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