Chaos in two-loop negative feedback systems

被引：23

作者：

Bastos De Figueiredo, J.C. ^{[1
]}

Diambra, L. ^{[2
]}

Glass, Leon ^{[3
]}

Malta, C.P. ^{[4
]}

机构：

[1] Instituto do Coração, Universidade de São Paulo, Ave. Dr. Eneas Carvalho Aguiar, 44, 05403-000 São Paulo, S.P., Brazil

[2] Inst. de Cie. Biomédicas, Universidade de São Paulo, 1524 ICB1, Avenida Lineu Prestes, 05508-900 São Paulo, S.P., Brazil

[3] Department of Physiology, McGill University, 3655 Drummond Street, Montreal, Que. H3G 1Y6, Canada

[4] Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05315-970 São Paulo, S.P., Brazil

来源：

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2002年 / 65卷 / 05期

关键词：

Chaos theory - Differential equations - Dynamics - Functions - Neural networks - Optical systems - Parameter estimation - Set theory;

D O I：

10.1103/PhysRevE.65.051905

中图分类号：

学科分类号：

摘要：

Multiloop delayed negative feedback systems, with each feedback loop having its own characteristic time lag (delay), are used to describe a great variety of systems: optical systems, neural networks, physiological control systems, etc. Previous investigations have shown that if the number of delayed feedback loops is greater than two, the system can exhibit complex dynamics and chaos, but in the case of two delayed loops only periodic solutions were found. Here we show that a period-doubling cascade and chaotic dynamics are also found in systems with two coupled delayed negative feedback loops. © 2002 The American Physical Society.

引用

页码：1 / 051905

共 50 条

[1] Chaos in two-loop negative feedback systems
de Figueiredo, JCB
Diambra, L
Glass, L
Malta, CP
PHYSICAL REVIEW E, 2002, 65 (05):
[2] Analysis of Two-loop Closed Production Systems
Li, Na
Zheng, Li
Feng, Wei
2009 IEEE INTERNATIONAL CONFERENCE ON AUTOMATION SCIENCE AND ENGINEERING, 2009, : 460 - +
[3] CHAOS IN MULTILOOPED NEGATIVE FEEDBACK-SYSTEMS
GLASS, L
MALTA, CP
JOURNAL OF THEORETICAL BIOLOGY, 1990, 145 (02) : 217 - 223
[4] Performance analysis of two-loop closed production systems
Li, Na
Zheng, Li
Li, Quan-Lin
COMPUTERS & OPERATIONS RESEARCH, 2009, 36 (01) : 119 - 134
[5] Robust tuning of two-loop automatic control systems
Smirnov N.I.
Sabanin V.R.
Repin A.I.
Thermal Engineering, 2007, 54 (7) : 563 - 571
[6] A two-loop suture
Craig, J
BRITISH MEDICAL JOURNAL, 1924, 1924 : 56 - 56
[7] Revealing a Two-Loop Transcriptional Feedback Mechanism in the Cyanobacterial Circadian Clock
Hertel, Stefanie
Brettschneider, Christian
Axmann, Ilka M.
PLOS COMPUTATIONAL BIOLOGY, 2013, 9 (03)
[8] Design and Analysis of Missile Two-Loop Autopilot with Angle of Attack Feedback
Wang, Jiang
Yang, Zhe
Lin, De-fu
SYSTEMS SIMULATION AND SCIENTIFIC COMPUTING, PT I, 2012, 326 : 287 - 296
[9] Two-loop corrections to gg→γγ
Bern, Z
De Freitas, A
Dixon, L
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2003, 116 : 173 - 177
[10] Two-loop splitting amplitudes
Bern, Z
Dixon, LJ
Kosower, DA
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2004, 135 : 147 - 151

← 1 2 3 4 5 →