TY - JOUR
T1 - Adaptive method for the experimental detection of instabilities
AU - Anderson, Jason S.
AU - Shvartsman, Stanislav Y.
AU - Flätgen, Georg
AU - Kevrekidis, Ioannis G.
AU - Rico-Martínez, Ramiro
AU - Krischer, Katharina
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 1999
Y1 - 1999
N2 - Motivated by numerical bifurcation detection, we present a methodology for the direct location of bifurcation points in nonlinear dynamic laboratory experiments. The procedure involves active, adaptive use of the bifurcation parameter(s) as control variable(s), coupled with the on-line identification of low-order nonlinear dynamic models from experimental time-series data. Application of the procedure to such “hard” transitions as saddle-node and subcritical Hopf bifurcations is demonstrated through simulated experiments of lumped as well as spatially distributed systems.
AB - Motivated by numerical bifurcation detection, we present a methodology for the direct location of bifurcation points in nonlinear dynamic laboratory experiments. The procedure involves active, adaptive use of the bifurcation parameter(s) as control variable(s), coupled with the on-line identification of low-order nonlinear dynamic models from experimental time-series data. Application of the procedure to such “hard” transitions as saddle-node and subcritical Hopf bifurcations is demonstrated through simulated experiments of lumped as well as spatially distributed systems.
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U2 - 10.1103/PhysRevLett.82.532
DO - 10.1103/PhysRevLett.82.532
M3 - Article
AN - SCOPUS:0000444197
SN - 0031-9007
VL - 82
SP - 532
EP - 535
JO - Physical review letters
JF - Physical review letters
IS - 3
ER -