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Experimental validation of phase space conduits of transition between potential wells

Publication ,  Journal Article
Ross, SD; Bozorgmagham, AE; Naik, S; Virgin, LN
Published in: Physical Review E
November 15, 2018

A phase space boundary between transition and nontransition trajectories, similar to those observed in Hamiltonian systems with rank-1 saddles, is verified experimentally in a macroscopic system. We present a validation of the phase space flux across rank-1 saddles connecting adjacent potential wells, and we confirm the underlying phase space conduits that mediate the transition. Experimental regions of transition are found to agree with the theory to within 1%, suggesting the robustness of phase space conduits of transition in a broad array of two or more degrees of freedom experimental systems, despite the presence of small dissipation.

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Published In

Physical Review E

DOI

EISSN

2470-0053

ISSN

2470-0045

Publication Date

November 15, 2018

Volume

98

Issue

5

Related Subject Headings

  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
 

Citation

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Ross, S. D., Bozorgmagham, A. E., Naik, S., & Virgin, L. N. (2018). Experimental validation of phase space conduits of transition between potential wells. Physical Review E, 98(5). https://doi.org/10.1103/PhysRevE.98.052214
Ross, S. D., A. E. Bozorgmagham, S. Naik, and L. N. Virgin. “Experimental validation of phase space conduits of transition between potential wells.” Physical Review E 98, no. 5 (November 15, 2018). https://doi.org/10.1103/PhysRevE.98.052214.
Ross SD, Bozorgmagham AE, Naik S, Virgin LN. Experimental validation of phase space conduits of transition between potential wells. Physical Review E. 2018 Nov 15;98(5).
Ross, S. D., et al. “Experimental validation of phase space conduits of transition between potential wells.” Physical Review E, vol. 98, no. 5, Nov. 2018. Scopus, doi:10.1103/PhysRevE.98.052214.
Ross SD, Bozorgmagham AE, Naik S, Virgin LN. Experimental validation of phase space conduits of transition between potential wells. Physical Review E. 2018 Nov 15;98(5).

Published In

Physical Review E

DOI

EISSN

2470-0053

ISSN

2470-0045

Publication Date

November 15, 2018

Volume

98

Issue

5

Related Subject Headings

  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering