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 |
|---|---|
| Article number | 20001 |
| Number of pages | 5 |
| Journal | Europhysics Letters |
| Volume | 98 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Apr 2012 |
Keywords
- stick-slip
- dry-friction
- stability
- systems
Cite this
Biemond, J. J. B., de Moura, A. P. S., Grebogi, C., van de Wouw, N., & Nijmeijer, H. (2012). Dynamical collapse of trajectories. Europhysics Letters, 98(2), [20001]. https://doi.org/10.1209/0295-5075/98/20001