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

Ernest Baretto; Eric J. Kostelich; Celso Grebogi; Edward Ott; James A. Yorke

doi:10.1103/PhysRevE.51.4169

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

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

Physics

Research output: Contribution to journal › Article › peer-review

35 Citations (Scopus)

Abstract

We develop an efficient targeting technique 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.

Original language	English
Pages (from-to)	4169-4172
Number of pages	4
Journal	Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	51
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevE.51.4169
Publication status	Published - May 1995

Keywords

direct trajectories
targets
laser

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10.1103/PhysRevE.51.4169

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Efficient switching between controlled unstable periodic orbits in higher dimensional chaotic systems. / Baretto, Ernest; Kostelich, Eric J.; Grebogi, Celso et al.
In: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 51, No. 5, 05.1995, p. 4169-4172.

Research output: Contribution to journal › Article › peer-review

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AU - Kostelich, Eric J.

AU - Grebogi, Celso

AU - Ott, Edward

AU - Yorke, James A.

PY - 1995/5

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AB - We develop an efficient targeting technique 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.

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KW - targets

KW - laser

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DO - 10.1103/PhysRevE.51.4169

M3 - Article

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JF - Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

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

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Keywords

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