HISTORY-DEPENDENT CONTROL OF UNSTABLE PERIODIC-ORBITS

被引：9

作者：

ALSING, PM ^{[1
]}

GAVRIELIDES, A ^{[1
]}

KOVANIS, V ^{[1
]}

机构：

[1] UNIV NEW MEXICO,DEPT MATH & STAT,ALBUQUERQUE,NM 87131

来源：

PHYSICAL REVIEW E | 1994年 / 50卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.50.1968

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We present a method of stabilizing unstable periodic orbits in systems whose natural time scales are on the order of or faster than the time it would take for the experimental implementation of the Ott-Grebogi-Yorke (OGY) controlling method [Phys. Rev. Lett. 84, 1196 (1990)]. We determine the controlling perturbation one or more cycles ahead of when it needs to be applied, thereby gaining the additional time necessary to measure a signal, determine the perturbation, and then implement it. Formulas for this method of prior iterate control are derived and their utility is demonstrated numerically on the Henon map for controlling the unstable orbits of period one and two, The effects of noise on this control method are examined and the results are compared with a similar application of the OGY scheme in the presence of noise.

引用

页码：1968 / 1977

页数：10

共 31 条

[1] USING NEURAL NETWORKS FOR CONTROLLING CHAOS
ALSING, PM
GAVRIELIDES, A
KOVANIS, V
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[7] CONTROLLING CHAOS USING TIME-DELAY COORDINATES
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[8] DRESSLER U, 1992, PHYSICA D, V58, P153
[9] STABILIZING UNSTABLE PERIODIC-ORBITS IN A FAST DIODE RESONATOR USING CONTINUOUS TIME-DELAY AUTOSYNCHRONIZATION
GAUTHIER, DJ
SUKOW, DW
CONCANNON, HM
SOCOLAR, JES
[J]. PHYSICAL REVIEW E, 1994, 50 (03): : 2343 - 2346
[10] GAVRIELIDES A, 1993, P SOC PHOTO-OPT INS, V2039, P250, DOI 10.1117/12.164768

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