CNCS Center for Nonlinear and Complex Systems
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Publications [#339930] of Lawrence N. Virgin

Papers Published

  1. Ross, SD; Bozorgmagham, AE; Naik, S; Virgin, LN, Experimental validation of phase space conduits of transition between potential wells, Physical Review. E, vol. 98 no. 5 (November, 2018) [doi]
    (last updated on 2019/09/19)

    © 2018 American Physical Society. 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.