Dynamical Collapse of Trajectories Part I: Homoclinic Tangles in Systems with Dry Friction

J. J. B. Biemond, A. P. S. de Moura, C. Grebogi, N. van de Wouw, H. Nijmeijer

Research output: Chapter in Book/Report/Conference proceedingPublished conference contribution

Abstract

Dry friction induces unexpected dynamical behaviour, causing distinct trajectories to collapse onto a single point in finite time. The result is that transversal homoclinic orbits generate chaotic saddles with forward dynamics that is qualitatively different from the backward dynamics. The space of initial conditions converging to the chaotic saddle is fractal, but the set of points diverging from it is not: friction destroys the complexity of the forward dynamics by generating a unique horseshoe-like topology.
Original languageEnglish
Title of host publicationProceedings of the 8th European Nonlinear Dynamics Conference (ENOC 2014)
PublisherVienna University of Technology
Number of pages2
ISBN (Print)978-3-200-03433-4
Publication statusPublished - 2014
Event8th European Nonlinear Dynamics Conference: (ENOC 2014) - Vienna, Austria
Duration: 6 Jul 201411 Jul 2014

Conference

Conference8th European Nonlinear Dynamics Conference
Country/TerritoryAustria
CityVienna
Period6/07/1411/07/14

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