ANALYSIS AND SYNTHESIS OF SYNCHRONOUS PERIODIC AND CHAOTIC SYSTEMS

被引：171

作者：

HE, R

VAIDYA, PG

机构：

[1] Department of Mechanical and Materials Engineering, Washington State University, Pullman

来源：

PHYSICAL REVIEW A | 1992年 / 46卷 / 12期

关键词：

D O I：

10.1103/PhysRevA.46.7387

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Chaotic systems are known for their sensitivity to initial conditions. However, Pecora and Carroll [Phys. Rev. Lett. 64, 821 (1990); Phys. Rev. A 44,2374 (1991); IEEE Trans. Circuits Syst. 38, 453 (1991)] have recently shown that a system, consisting of two Lorenz oscillators exhibiting chaos, could achieve synchronization if a portion of the second system is driven by the first. In this paper, a necessary and sufficient condition for synchronization is presented. This condition has been used to create a high-dimensional chaotic system with a nonlinear subsystem. This system shows synchronization both when it exhibits periodic limit cycles and when it turns chaotic.

引用

页码：7387 / 7392

页数：6

共 12 条

[1] SYNCHRONIZING CHAOTIC CIRCUITS [J].

CARROLL, TL ;

PECORA, LM .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1991, 38 (04) :453-456

[2]

CESARI L, 1971, ASYMPTOTIC BEHAVIOR

[3] A MATHEMATICS FOR PHYSIOLOGY [J].

GARFINKEL, A .

AMERICAN JOURNAL OF PHYSIOLOGY, 1983, 245 (04) :R455-R466

[4] ASYMPTOTICALLY SYNCHRONOUS CHAOTIC ORBITS IN SYSTEMS OF EXCITABLE ELEMENTS [J].

KOWALSKI, JM ;

ALBERT, GL ;

GROSS, GW .

PHYSICAL REVIEW A, 1990, 42 (10) :6260-6263

[5] PHASE-DIAGRAM FOR THE COLLECTIVE BEHAVIOR OF LIMIT-CYCLE OSCILLATORS [J].

MATTHEWS, PC ;

STROGATZ, SH .

PHYSICAL REVIEW LETTERS, 1990, 65 (14) :1701-1704

[6] SYNCHRONIZATION IN CHAOTIC SYSTEMS [J].

PECORA, LM ;

CARROLL, TL .

PHYSICAL REVIEW LETTERS, 1990, 64 (08) :821-824

[7] DRIVING SYSTEMS WITH CHAOTIC SIGNALS [J].

PECORA, LM ;

CARROLL, TL .

PHYSICAL REVIEW A, 1991, 44 (04) :2374-2383

[8]

SKARDA C, 1987, BEHAV BRAIN SCI, V10, P170

[9] BRAINS MAKE CHAOS TO MAKE SENSE OF THE WORLD [J].

SKARDA, CA ;

FREEMAN, WJ .

BEHAVIORAL AND BRAIN SCIENCES, 1987, 10 (02) :161-173

[10]

Sparrow C., 1982, LORENZ EQUATIONS BIF

← 1 2 →