Adaptive method for the experimental detection of instabilities

Jason S. Anderson, Stanislav Y. Shvartsman, Georg Flätgen, Ioannis G. Kevrekidis, Ramiro Rico-Martínez, Katharina Krischer

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)532-535
Number of pages4
JournalPhysical review letters
Volume82
Issue number3
DOIs
StatePublished - Jan 1 1999

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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