TARGETING UNSTABLE PERIODIC-ORBITS

被引：27

作者：

CHIZHEVSKY, VN ^{[1
]}

GLORIEUX, P ^{[1
]}

机构：

[1] UNIV SCI & TECH LILLE FLANDRES ARTOIS, CNRS, SPECT HERTZIENNE LAB, F-59655 VILLENEUVE DASCQ, FRANCE

来源：

PHYSICAL REVIEW E | 1995年 / 51卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.51.R2701

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：

Specific targeting of unstable periodic orbits has been achieved by using large-amplitude perturbations in a dynamical system. The method has been demonstrated experimentally on a CO2 laser with modulated losses whose unstable periodic orbits are created either at a period-doubling or at a saddle-node bifurcation. Applications of the technique to switch the phase of the dynamical motion, to set boundaries of basins of attraction, and to measure Floquet multipliers are discussed. © 1995 The American Physical Society.

引用

页码：R2701 / R2704

页数：4

共 22 条

[1] GENERALIZED MULTISTABILITY AND NOISE-INDUCED JUMPS IN A NONLINEAR DYNAMICAL SYSTEM
ARECCHI, FT
BADII, R
POLITI, A
[J]. PHYSICAL REVIEW A, 1985, 32 (01): : 402 - 408
[2] NOISE-INDUCED TRAPPING AT THE BOUNDARY BETWEEN 2 ATTRACTORS - A SOURCE OF 1-F SPECTRA IN NONLINEAR DYNAMICS
ARECCHI, FT
CALIFANO, A
[J]. EUROPHYSICS LETTERS, 1987, 3 (01): : 5 - 10
[3] EXPERIMENTAL CHARACTERIZATION OF UNSTABLE PERIODIC-ORBITS BY CONTROLLING CHAOS
BIELAWSKI, S
DEROZIER, D
GLORIEUX, P
[J]. PHYSICAL REVIEW A, 1993, 47 (04): : R2492 - R2495
[4] STOCHASTIC RESONANCE AS A CRISIS IN A PERIOD-DOUBLED CIRCUIT
CARROLL, TL
PECORA, LM
[J]. PHYSICAL REVIEW E, 1993, 47 (06): : 3941 - 3947
[5] TRACKING UNSTABLE ORBITS IN AN EXPERIMENT
CARROLL, TL
TRIANDAF, I
SCHWARTZ, I
PECORA, L
[J]. PHYSICAL REVIEW A, 1992, 46 (10): : 6189 - 6192
[6] CHIZHEVSKY VH, 1992, J APPL SPECTROSC, V56, P245
[7] PERIODICALLY LOSS-MODULATED CO2-LASER AS AN OPTICAL AMPLITUDE AND PHASE MULTITRIGGER
CHIZHEVSKY, VN
TUROVETS, SI
[J]. PHYSICAL REVIEW A, 1994, 50 (02): : 1840 - 1843
[8] Kapitaniak T., 1990, CHAOS SYSTEMS NOISE
[9] TOPOLOGICAL ANALYSIS OF CHAOTIC SIGNALS FROM A CO2 LASER WITH MODULATED LOSSES
Lefranc, Marc
Glorieux, Pierre
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1993, 3 (03): : 643 - 650
[10] MULTISTABILITY AND AUTOSTOCHASTICITY IN A LASER WITH A DELAYED-RESPONSE ACTIVE MEDIUM SUBJECTED TO PERIODIC LOSS MODULATION.
Matorin, I.I.
Pikovskii, A.S.
Khanin, Ya.I.
[J]. Soviet journal of quantum electronics, 1984, 14 (10): : 1401 - 1405

← 1 2 3 →