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Extracting information from interimpact intervals in a mechanical oscillator

Publication ,  Journal Article
Slade, KN; Virgin, LN; Bayly, PV
Published in: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
January 1, 1997

Monitoring all the state variables in dynamic experiments may be difficult or even impossible. It is also desirable to reduce the coupling between the system under study and the measuring device to as low a level as possible. To these ends, we investigated the use of interimpact interval as a discrete state variable. It is well established that topological information can be obtained from delay coordinate embedding and thus not all of the state variables, or even a continuous set of a single variable, need to be measured. In the case of impacting systems, the impacts can be viewed as discrete events that can then be used to reconstruct more general features of the behavior. The success of such reconstruction techniques will be assessed in this paper. © 1997 The American Physical Society.

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Published In

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI

ISSN

1063-651X

Publication Date

January 1, 1997

Volume

55

Issue

3

Start / End Page

3705 / 3707
 

Citation

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Chicago
ICMJE
MLA
NLM
Slade, K. N., Virgin, L. N., & Bayly, P. V. (1997). Extracting information from interimpact intervals in a mechanical oscillator. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 55(3), 3705–3707. https://doi.org/10.1103/PhysRevE.56.3705
Slade, K. N., L. N. Virgin, and P. V. Bayly. “Extracting information from interimpact intervals in a mechanical oscillator.” Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 55, no. 3 (January 1, 1997): 3705–7. https://doi.org/10.1103/PhysRevE.56.3705.
Slade KN, Virgin LN, Bayly PV. Extracting information from interimpact intervals in a mechanical oscillator. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 1997 Jan 1;55(3):3705–7.
Slade, K. N., et al. “Extracting information from interimpact intervals in a mechanical oscillator.” Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 55, no. 3, Jan. 1997, pp. 3705–07. Scopus, doi:10.1103/PhysRevE.56.3705.
Slade KN, Virgin LN, Bayly PV. Extracting information from interimpact intervals in a mechanical oscillator. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 1997 Jan 1;55(3):3705–3707.

Published In

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI

ISSN

1063-651X

Publication Date

January 1, 1997

Volume

55

Issue

3

Start / End Page

3705 / 3707