CONTROLLED COMPETITIVE DYNAMICS IN A PHOTOREFRACTIVE RING OSCILLATOR - WINNER-TAKES-ALL AND THE VOTING-PARADOX DYNAMICS

被引：33

作者：

BENKERT, C ^{[1
]}

ANDERSON, DZ ^{[1
]}

机构：

[1] UNIV COLORADO, JOINT INST LAB ASTROPHYS, BOULDER, CO 80309 USA

来源：

PHYSICAL REVIEW A | 1991年 / 44卷 / 07期

关键词：

D O I：

10.1103/PhysRevA.44.4633

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We investigate a system through which a variety of competitive dynamics can be optically realized. The interaction between the dynamical variables, in this case the intensities of resonator modes, can be controlled and even programmed. Photorefractive media are used to establish the coupling between the optical modes. We illustrate the properties of such a system through two different instances. The first is a "winner-takes-all" system in which the mutual competition between the modes leads to multiple stable fixed points in which one mode oscillates while the other ones are suppressed. The second system employs circular coupling between the modes giving rise to a dynamically recalled sequence of modes, often referred to as "voting-paradox" dynamics.

引用

页码：4633 / 4638

页数：6

共 19 条

[11]

Kohonen T., 1987, SELF ORG ASS MEMORY

[12]

LOTKA AJ, 1925, ELEMENTS PHYSICAL BI

[13] NONLINEAR ASPECTS OF COMPETITION BETWEEN 3 SPECIES [J].

MAY, RM ;

LEONARD, WJ .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1975, 29 (02) :243-253

[14]

McClelland J. L., 1986, PARALLEL DISTRIBUTED, V1

[15]

MENSCH G, 1978, INNOVATION TRENDS SW

[16]

SARGENT M, 1974, LASER PHYSICS, P133

[17]

Volterra V., 1931, LECONS THEORIE MATH

[18] COHERENT OSCILLATION BY SELF-INDUCED GRATINGS IN THE PHOTOREFRACTIVE CRYSTAL BATIO3 [J].

WHITE, JO ;

CRONINGOLOMB, M ;

FISCHER, B ;

YARIV, A .

APPLIED PHYSICS LETTERS, 1982, 40 (06) :450-452

[19] 2-WAVE MIXING IN NONLINEAR MEDIA [J].

YEH, P .

IEEE JOURNAL OF QUANTUM ELECTRONICS, 1989, 25 (03) :484-519

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