2011.63: Attractors near grazing-sliding bifurcations
2011.63: Paul Glendinning, Piotr Kowalczyk and Arne Nordmark (2011) Attractors near grazing-sliding bifurcations.
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Abstract
In this paper we prove, for the first time, that multistability can occur in 3-dimensional Fillipov type flows due to grazing-sliding bifurcations. We do this by reducing the study of the dynamics of Filippov type flows around a grazing-sliding bifurcation to the study of appropriately defined one-dimensional maps. In particular, we prove the presence of three qualitatively different types of multiple attractors born in grazing-sliding bifurcations. Namely, a period-two orbit with a sliding segment may coexsist with a chaotic attractor, two stable, period-two and period-three orbits with a segment of sliding each may coexist, or a non-sliding and period-three orbit with two sliding segments may coexist.
| Item Type: | MIMS Preprint |
|---|---|
| Additional Information: | CICADA |
| Subjects: | PACS 2003 > 05 Statistical physics, thermodynamics, and nonlinear dynamical systems |
| MIMS number: | 2011.63 |
| Deposited By: | Professor Paul Glendinning |
| Deposited On: | 15 July 2011 |
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