Abstract
This paper discusses the dramatic changes in system dynamics that arise as parameter variations lead to the appearance of grazing intersections between periodic and quasi-periodic attractors and state-space discontinuities. In particular, a method based on the discontinuity-mapping approach is employed to predict the effects of near-grazing interactions with the discontinuity surface solely based on information about the discontinuity and the pre-grazing trajectory and requiring no knowledge of the impacting system. An example from the study of legged locomotion is used to illustrate the significance of such grazing bifurcations on the presence of sustained gait in simple anthropomorphic mechanisms. The predictive power of the discontinuity-mapping approach is illustrated on a low-dimensional model example.
Original language | English (US) |
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Pages | 1189-1195 |
Number of pages | 7 |
State | Published - 2001 |
Externally published | Yes |
Event | 18th Biennial Conference on Mechanical Vibration and Noise - Pittsburgh, PA, United States Duration: Sep 9 2001 → Sep 12 2001 |
Conference
Conference | 18th Biennial Conference on Mechanical Vibration and Noise |
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Country/Territory | United States |
City | Pittsburgh, PA |
Period | 9/9/01 → 9/12/01 |
ASJC Scopus subject areas
- Modeling and Simulation
- Mechanical Engineering
- Computer Science Applications
- Computer Graphics and Computer-Aided Design