STABILIZING HIGH-PERIOD ORBITS IN A CHAOTIC SYSTEM - THE DIODE RESONATOR

被引：584

作者：

HUNT, ER ^{[1
]}

机构：

[1] OHIO UNIV,DEPT PHYS & ASTRON,ATHENS,OH 45701

来源：

PHYSICAL REVIEW LETTERS | 1991年 / 67卷 / 15期

关键词：

D O I：

10.1103/PhysRevLett.67.1953

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The chaotic dynamics found in the diode resonator has been converted into stable orbits with periods up to 23 drive cycles long. The method used is a modification of that of Ott, Grebogi, and Yorke [Phys. Rev. Lett. 64, 1196 (1990)]. In addition to stabilizing existing low-period orbits, the method allows making small alterations in the attractor permitting previously nonexistent periodic orbits to be stabilized. It is an analog technique and therefore can be very fast, making it applicable to a wide variety of systems.

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页码：1953 / 1955

页数：3

相关论文

共 11 条

[1] CONTROLLING CHAOS IN SPIN-WAVE INSTABILITIES [J].

AZEVEDO, A ;

REZENDE, SM .

PHYSICAL REVIEW LETTERS, 1991, 66 (10) :1342-1345

[2] TAMING CHAOTIC DYNAMICS WITH WEAK PERIODIC PERTURBATIONS [J].

BRAIMAN, Y ;

GOLDHIRSCH, I .

PHYSICAL REVIEW LETTERS, 1991, 66 (20) :2545-2548

[3] EXPERIMENTAL CONTROL OF CHAOS [J].

DITTO, WL ;

RAUSEO, SN ;

SPANO, ML .

PHYSICAL REVIEW LETTERS, 1990, 65 (26) :3211-3214

[4] SUPPRESSION OF CHAOS BY RESONANT PARAMETRIC PERTURBATIONS [J].

LIMA, R ;

PETTINI, M .

PHYSICAL REVIEW A, 1990, 41 (02) :726-733

[5]

LINDSAY PS, 1981, PHYS REV LETT, V47, P1349

[6] CONTROLLING CHAOS [J].

OTT, E ;

GREBOGI, C ;

YORKE, JA .

PHYSICAL REVIEW LETTERS, 1990, 64 (11) :1196-1199

[7] CONTROLLING CHEMICAL CHAOS [J].

PENG, B ;

PETROV, V ;

SHOWALTER, K .

JOURNAL OF PHYSICAL CHEMISTRY, 1991, 95 (13) :4957-4959

[8] EXACTLY SOLVABLE MODEL OF A PHYSICAL SYSTEM EXHIBITING UNIVERSAL CHAOTIC BEHAVIOR [J].

ROLLINS, RW ;

HUNT, ER .

PHYSICAL REVIEW LETTERS, 1982, 49 (18) :1295-1298

[9] CONTROLLING A CHAOTIC SYSTEM [J].

SINGER, J ;

WANG, YZ ;

BAU, HH .

PHYSICAL REVIEW LETTERS, 1991, 66 (09) :1123-1125

[10] SIMULATION AND CHARACTERIZATION OF STRANGE ATTRACTORS IN DRIVEN DIODE RESONATOR SYSTEMS [J].

SU, Z ;

ROLLINS, RW ;

HUNT, ER .

PHYSICAL REVIEW A, 1989, 40 (05) :2698-2705