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Phys. Rev. E 51, 4169–4172 (1995)

Efficient switching between controlled unstable periodic orbits in higher dimensional chaotic systems

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Ernest Barreto, Eric J. Kostelich, Celso Grebogi, Edward Ott, and James A. Yorke
University of Maryland, College Park, Maryland 20742

Received 13 October 1994; published in the issue dated May 1995

We develop an efficient targeting techique and demonstrate that when used with an unstable periodic orbit stabilization method, fast and efficient switching between controlled periodic orbits is possible. This technique is particularly relevant to cases of higher attractor dimension. We present a numerical example and report an improvement of up to four orders of magnitude in the switching time over the case with no targeting.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.51.4169
DOI:
10.1103/PhysRevE.51.4169
PACS:
05.45.+b