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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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|
|Subjects:||PACS 2003 > 05 Statistical physics, thermodynamics, and nonlinear dynamical systems|
|Deposited By:||Professor Paul Glendinning|
|Deposited On:||15 July 2011|