On the regularization of impact without collision: the Painlevé paradox and compliance

DOI10.1098/rspa.2016.0773zbMath1402.70016arXiv1610.00143OpenAlexW2527750934WikidataQ53779369 ScholiaQ53779369MaRDI QIDQ4557901

S. John Hogan, K. Uldall Kristiansen

Publication date: 27 November 2018

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.00143

zbMATH Keywords

regularizationcompliancePainlevé paradoximpact without collision

Mathematics Subject Classification ID

Problems involving a system of particles with friction (70F40) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (8)

Dynamics Beyond Dynamic Jam; Unfolding the Painlevé Paradox Singularity ⋮ A geometric framework for dynamics with unilateral constraints and friction, illustrated by an example of self-organized locomotion ⋮ Le Canard de Painlevé ⋮ Resonant periodic solutions in regularized impact oscillator ⋮ The Geometry of the Painlevé Paradox ⋮ A Stiction Oscillator with Canards: On Piecewise Smooth Nonuniqueness and Its Resolution by Regularization Using Geometric Singular Perturbation Theory ⋮ Transitions and singularities during slip motion of rigid bodies ⋮ Painlevé paradox and dynamic self-locking during passive walking of bipedal robot

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