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

Ernest Barreto, Eric J. Kostelich, Celso Grebogi, Edward Ott, and James A. Yorke
Phys. Rev. E 51, 4169 – Published 1 May 1995
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Abstract

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.

  • Received 13 October 1994

DOI:https://doi.org/10.1103/PhysRevE.51.4169

©1995 American Physical Society

Authors & Affiliations

Ernest Barreto, Eric J. Kostelich, Celso Grebogi, Edward Ott, and James A. Yorke

  • University of Maryland, College Park, Maryland 20742

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Issue

Vol. 51, Iss. 5 — May 1995

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