CONTROLLING SPATIOTEMPORAL CHAOS IN A CHAIN OF THE COUPLED LOGISTIC MAPS

被引：36

作者：

ASTAKHOV, VV ^{[1
]}

ANISHCHENKO, VS ^{[1
]}

SHABUNIN, AV ^{[1
]}

机构：

[1] SARATOV NG CHERNYSHEVSKII STATE UNIV,DEPT RADIOPHYS,SARATOV,RUSSIA

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 1995年 / 42卷 / 06期

关键词：

D O I：

10.1109/81.390267

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

A method of controlling spatiotemporal chaos in a chain of the logistic maps, based on the Ott, Grebogi, Yorke (OGY) approach, is proposed in the paper, Forms of spatiotemporal disturbances of a system parameter are determined analytically to stabilize desired spatiotemporal states. The results are illustrated by numerical experiments. Transitions of the system under control from the regime of spatiotemporal chaos to the regular homogeneous ones with temporal period one, two, four, and also to more complicated regular regimes with different spatial and temporal periods have been demonstrated.

引用

页码：352 / 357

页数：6

共 16 条

[1] ASTAKHOV VV, 1990, ZH TEKH FIZ+, V60, P19
[2] ASTAKHOV VV, 1992, INT SEMINAR NONLINEA, V2, P213
[3] CONTROLLING EXTENDED SYSTEMS OF CHAOTIC ELEMENTS
AUERBACH, D
[J]. PHYSICAL REVIEW LETTERS, 1994, 72 (08) : 1184 - 1187
[4] CONTROLLING CHAOS IN HIGH DIMENSIONAL SYSTEMS
AUERBACH, D
GREBOGI, C
OTT, E
YORKE, JA
[J]. PHYSICAL REVIEW LETTERS, 1992, 69 (24) : 3479 - 3482
[5] BRAIMAN J, 1990, PHYS REV LETT, V66, P2545
[6] GANG H, 1994, PHYS REV LETT, V72, P68
[7] STABILIZING HIGH-PERIOD ORBITS IN A CHAOTIC SYSTEM - THE DIODE RESONATOR
HUNT, ER
[J]. PHYSICAL REVIEW LETTERS, 1991, 67 (15) : 1953 - 1955
[8] PATTERN DYNAMICS IN SPATIOTEMPORAL CHAOS - PATTERN SELECTION, DIFFUSION OF DEFECT AND PATTERN COMPETITION INTERMITTENCY
KANEKO, K
[J]. PHYSICA D, 1989, 34 (1-2): : 1 - 41
[9] Kapitaniak T, 1992, CHAOS SOLITFRACTALS, V2, P519
[10] Murali K., 1993, Journal of Circuits, Systems and Computers, V3, P125, DOI 10.1142/S0218126693000101

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