Abstract
Nonsmooth processes such as stick-slip may introduce problems with phase-spacereconstructions. We examine chaotic single-degree-of-fireedom stick-slip friction models and use the method of delays to reconstruct the phase space. We illustrate that this reconstruction process can cause pseudo trajectories to collapse in a way that is unlike, yet related to, the dimensional collapse in the original phase-space. As a result, the reconstructed attractor is not topologically similar to the real attractor. Standard dimensioning tools are applied in effort to recognize this situation. The use of additional observables is examined as a possible remedy for the problem.
Original language | English |
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Title of host publication | 15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems |
Publisher | American Society of Mechanical Engineers (ASME) |
Pages | 1049-1059 |
Number of pages | 11 |
ISBN (Electronic) | 9780791817186 |
DOIs | |
State | Published - 1995 |
Externally published | Yes |
Event | ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium - Boston, United States Duration: 17 09 1995 → 20 09 1995 |
Publication series
Name | Proceedings of the ASME Design Engineering Technical Conference |
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Volume | 3A-1995 |
Conference
Conference | ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium |
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Country/Territory | United States |
City | Boston |
Period | 17/09/95 → 20/09/95 |
Bibliographical note
Publisher Copyright:© 1995 American Society of Mechanical Engineers (ASME). All rights reserved.