Projects per year
Abstract
A mechanical system is presented exhibiting a non-deterministic singularity, that is, a point in an otherwise deterministic system where forward time trajectories become non-unique. A Coulomb friction force applies linear and angular forces to a wheel mounted on a turntable. In certain configurations the friction force is not uniquely determined. When the dynamics evolves past the singularity and the mechanism slips, the future state becomes uncertain up to a set of possible values. For certain parameters the system repeatedly returns to the singularity, giving recurrent yet unpredictable behaviour that constitutes non-deterministic chaotic dynamics. The robustness of the phenomenon is such that we expect it to persist with more sophisticated friction models, manifesting as extreme sensitivity to initial conditions, and complex global dynamics attributable to a local loss of determinism in the limit of discontinuous friction.
Original language | English |
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Article number | 022914 |
Number of pages | 11 |
Journal | Physical Review E: Statistical, Nonlinear, and Soft Matter Physics |
Volume | 90 |
Issue number | 2 |
DOIs | |
Publication status | Published - 26 Aug 2014 |
Research Groups and Themes
- Engineering Mathematics Research Group
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Dive into the research topics of 'Non-deterministic dynamics of a mechanical system'. Together they form a unique fingerprint.Projects
- 1 Finished
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When Worlds Collide: the asymptotics of interacting systems (Career Acceleration Fellowship)
Jeffrey, M. R. (Principal Investigator)
1/08/12 → 1/08/16
Project: Research
Profiles
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Dr Robert Szalai
- School of Engineering Mathematics and Technology - Associate Professor of Applied Mathematics
- Dynamics and Control
Person: Academic , Member