Abstract
Friction induces unexpected dynamical behaviour. In the paradigmatic pendulum and double-well systems with friction, modelled with differential inclusions, distinct trajectories can collapse onto a single point. Transversal homoclinic orbits display collapse and 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. Copyright (C) EPLA, 2012
Original language | English |
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Article number | 20001 |
Number of pages | 5 |
Journal | Europhysics Letters |
Volume | 98 |
Issue number | 2 |
Early online date | 12 Apr 2012 |
DOIs | |
Publication status | Published - Apr 2012 |
Bibliographical note
This research was conducted during a visit of BB to theUniversity of Aberdeen. We would like to acknowledge
the Netherlands Organisation for Scientific Research
(NWO), the EU Network of Excellence HYCON2
(grant number 257462), and the Biotechnology and
Biological Sciences Research Council in the UK (grant
numbers BB/G001596/1 and BB-G010722) for financial
support.
Keywords
- stick-slip
- dry-friction
- stability
- systems