Time-delayed feedback control of chaos in a GaAs/AlGaAs heterostructure

被引：0

作者：

Yang Gui ^{[1
]}

Zhao Xueting ^{[2
]}

机构：

[1] Anyang Normal Univ, Coll Phys & Elect Engn, Anyang 455000, Peoples R China

[2] Hebei Univ Engn, Coll Sci, Handan 056038, Peoples R China

来源：

JOURNAL OF SEMICONDUCTORS | 2010年 / 31卷 / 05期

关键词：

chaos; feedback strength; delayed time;

D O I：

10.1088/1674-4926/31/5/052003

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

A theoretical model has been developed to study nonlinear behaviors in a GaAs/AlGaAs heterostructure. We show that the system can exhibit chaotic oscillations under transverse magnetic fields and an electric field. The time-delayed feedback method was applied to stabilize the unstable periodic orbits (UPOs) embedded in the chaotic attractor. A bifurcation specified by a successive decrease in the number of UPOs with delayed time and feedback strength was revealed, indicating the stabilization of UPOs under feedback control. Noticeably, the introduction of a feedback perturbation will sometimes induce chaotic states that do not exist in the unperturbed system.

引用

页码：0520031 / 0520035

页数：5

共 26 条

[1] Delayed feedback control of chaos:: Bifurcation analysis -: art. no. 016222 [J].

Balanov, AG ;

Janson, NB ;

Schöll, E .

PHYSICAL REVIEW E, 2005, 71 (01)

[2] The control of chaos: theory and applications [J].

Boccaletti, S ;

Grebogi, C ;

Lai, YC ;

Mancini, H ;

Maza, D .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 329 (03) :103-197

[3] Resource letter: CC-1: Controlling chaos [J].

Gauthier, DJ .

AMERICAN JOURNAL OF PHYSICS, 2003, 71 (08) :750-759

[4] MONTE-CARLO SIMULATION OF REAL-SPACE ELECTRON-TRANSFER IN GAAS-ALGAAS HETEROSTRUCTURES [J].

GLISSON, TH ;

HAUSER, JR ;

LITTLEJOHN, MA ;

HESS, K ;

STREETMAN, BG ;

SHICHIJO, H .

JOURNAL OF APPLIED PHYSICS, 1980, 51 (10) :5445-5449

[5]

Hbinger B, 1993, Z PHYS B, V90, P103

[6]

Hess K, 1988, ADV THEORY SEMICONDU

[7] Control of unstable steady states by time-delayed feedback methods -: art. no. 046203 [J].

Hövel, P ;

Schöll, E .

PHYSICAL REVIEW E, 2005, 72 (04)

[8] DYNAMIC HALL-EFFECT AS A MECHANISM FOR SELF-SUSTAINED OSCILLATIONS AND CHAOS IN SEMICONDUCTORS [J].

HUPPER, G ;

SCHOLL, E .

PHYSICAL REVIEW LETTERS, 1991, 66 (18) :2372-2375

[9] Mechanism of time-delayed feedback control [J].

Just, W ;

Bernard, T ;

Ostheimer, M ;

Reibold, E ;

Benner, H .

PHYSICAL REVIEW LETTERS, 1997, 78 (02) :203-206

[10] Controlling chaos in a Lorenz-like system using feedback [J].

Kociuba, G ;

Heckenberg, NR .

PHYSICAL REVIEW E, 2003, 68 (06)

← 1 2 3 →