Adaptive method for the experimental detection of instabilities
Publication Year
1999
Type
Journal Article
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].
Keywords
Journal
Physical Review LettersPhysical Review Letters
Volume
82
Issue
3
Pages
532-535
Date Published
01/1999
ISBN
0031-9007
Short Title
Phys. Rev. Lett.