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Phys. Rev. A 46, 6189–6192 (1992)

Tracking unstable orbits in an experiment

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Thomas L. Carroll, Ioana Triandaf, Ira Schwartz, and Lou Pecora
Code 6341, Naval Research Laboratory, Washington, D.C. 20375

Received 22 June 1992; published in the issue dated November 1992

We present a continuation method for experimentally tracking unstable periodic orbits by slowly varying an available system parameter in a dynamical system. The method does not depend on an explicit model, but on the signal analysis of a measured time series. Unstable periodic orbits can be tracked through various bifurcations. We apply this to a Duffing-like circuit and compare the results to an approximate model of the circuit.

© 1992 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.46.6189
DOI:
10.1103/PhysRevA.46.6189
PACS:
05.45.+b