Phase-space reconstructions of stick-slip systems

B. F. Feeny, J. W. Liang

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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 languageEnglish
Title of host publication15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages1049-1059
Number of pages11
ISBN (Electronic)9780791817186
DOIs
StatePublished - 1995
Externally publishedYes
EventASME 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 199520 09 1995

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume3A-1995

Conference

ConferenceASME 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
Country/TerritoryUnited States
CityBoston
Period17/09/9520/09/95

Bibliographical note

Publisher Copyright:
© 1995 American Society of Mechanical Engineers (ASME). All rights reserved.

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