---
res:
  bibo_abstract:
  - We investigate high-dimensional nonlinear dynamical systems exhibiting multiple
    resonances under adiabatic parameter variations. Our motivations come from experimental
    considerations where time-dependent sweeping of parameters is a practical approach
    to probing and characterizing the bifurcations of the system. The question is
    whether bifurcations so detected are faithful representations of the bifurcations
    intrinsic to the original stationary system. Utilizing a harmonically forced,
    closed fluid flow system that possesses multiple resonances and solving the Navier-Stokes
    equation under proper boundary conditions, we uncover the phenomenon of the early
    effect. Specifically, as a control parameter, e.g., the driving frequency, is
    adiabatically increased from an initial value, resonances emerge at frequency
    values that are lower than those in the corresponding stationary system. The phenomenon
    is established by numerical characterization of physical quantities through the
    resonances, which include the kinetic energy and the vorticity field, and a heuristic
    analysis based on the concept of instantaneous frequency. A simple formula is
    obtained which relates the resonance points in the time-dependent and time-independent
    systems. Our findings suggest that, in general, any true bifurcation of a nonlinear
    dynamical system can be unequivocally uncovered through adiabatic parameter sweeping,
    in spite of a shift in the bifurcation point, which is of value to experimental
    studies of nonlinear dynamical systems.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Youngyong
      foaf_name: Park, Youngyong
      foaf_surname: Park
  - foaf_Person:
      foaf_givenName: Younghae
      foaf_name: Do, Younghae
      foaf_surname: Do
  - foaf_Person:
      foaf_givenName: Sebastian
      foaf_name: Altmeyer, Sebastian
      foaf_surname: Altmeyer
      foaf_workInfoHomepage: http://www.librecat.org/personId=2EE67FDC-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0001-5964-0203
  - foaf_Person:
      foaf_givenName: Yingcheng
      foaf_name: Lai, Yingcheng
      foaf_surname: Lai
  - foaf_Person:
      foaf_givenName: Gyuwon
      foaf_name: Lee, Gyuwon
      foaf_surname: Lee
  bibo_doi: 10.1103/PhysRevE.91.022906
  bibo_issue: '2'
  bibo_volume: 91
  dct_date: 2015^xs_gYear
  dct_identifier:
  - UT:000350239900013
  dct_isPartOf:
  - http://id.crossref.org/issn/1539-3755
  dct_language: eng
  dct_publisher: American Physical Society@
  dct_title: Early effect in time-dependent, high-dimensional nonlinear dynamical
    systems with multiple resonances@
...