Experimental validation of phase space conduits of transition between potential wells

Journal Article (Journal Article)

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.

Full Text

Duke Authors

Cited Authors

  • Ross, SD; Bozorgmagham, AE; Naik, S; Virgin, LN

Published Date

  • November 15, 2018

Published In

Volume / Issue

  • 98 / 5

Electronic International Standard Serial Number (EISSN)

  • 2470-0053

International Standard Serial Number (ISSN)

  • 2470-0045

Digital Object Identifier (DOI)

  • 10.1103/PhysRevE.98.052214

Citation Source

  • Scopus