@article{38226, keywords = {pattern-formation, chaos}, author = {Anderson and Shvartsman and Flatgen and Kevrekidis and Rico-Martinez and KRISCHER}, title = {Adaptive method for the experimental detection of instabilities}, abstract = { 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. [S0031-9007(98)08206-4]. }, year = {1999}, journal = {Physical Review LettersPhysical Review Letters}, volume = {82}, pages = {532-535}, month = {01/1999}, isbn = {0031-9007}, language = {English}, }