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• W2123635791 abstract "In this paper, we study a piecewise-smooth dynamical system of a Filippov type that has a specific discontinuity in the form of a hold-on term. The system resembles a driven dry-friction oscillator with the difference that the magnitude of the friction depends on the value of a local maximum of the oscillator displacement. Due to the hold-on term, the definition of the sliding region is not trivial. Along with a sliding region that is found analytically and is valid for any orbits, there exists a sliding region that we name ‘virtual’ because it is specific for each particular orbit. The existence of the virtual sliding region is explained by the specific discontinuity — the hold-on term — and the behavior associated with the sliding region and its boundaries can be considered as a new type of sliding-associated behavior." @default.
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• W2123635791 date "2014-08-01" @default.
• W2123635791 modified "2023-09-25" @default.
• W2123635791 title "Sliding in a piecewise-smooth dynamical system with a hold-on effect" @default.
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• W2123635791 doi "https://doi.org/10.1016/j.physleta.2014.08.030" @default.
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