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

[31] The Interfacial Profile in Two-Loop Order
Jens Küster
Gernot Münster
Journal of Statistical Physics, 2007, 129 : 441 - 451
[32] Pentagonal two-loop ring interferometer
Agachev, AR
Balakin, AB
Buinov, GN
Buchinskaya, SL
Daishev, RA
Kisun'ko, GV
Komissaruk, VA
Mavrin, SV
Murzakhanov, ZG
Rafikov, RA
Skochilov, AF
Cheredilin, VA
Chugunov, YP
TECHNICAL PHYSICS, 1998, 43 (05) : 591 - 595
[33] Uniqueness of two-loop master contours
Caron-Huot, Simon
Larsen, Kasper J.
JOURNAL OF HIGH ENERGY PHYSICS, 2012, (10):
[34] Two-loop form factors in QED
Mastrolia, P
Remiddi, E
NUCLEAR PHYSICS B, 2003, 664 (1-2) : 341 - 356
[35] Two-loop corrections and predictability on orbifold
Uekusa, Nobuhiro
NUCLEAR PHYSICS B, 2010, 827 (1-2) : 311 - 336
[36] Up to two-loop calculations in HBCPT
McGovern, JA
Birse, MC
Kumar, KBV
HADRON PHYSICS: EFFECTIVE THEORIES OF LOW ENERGY QCD, 2000, 508 : 195 - 203
[37] Two-loop Electroweak Corrections to εK
Kvedaraite, Sandra
INTERNATIONAL CONFERENCE ON KAON PHYSICS, KAON 2022, 2023, 2446
[38] Pentagonal two-loop ring interferometer
A. R. Agachev
A. B. Balakin
G. N. Buinov
S. L. Buchinskaya
R. A. Daishev
G. V. Kisun’ko
V. A. Komissaruk
S. V. Mavrin
Z. G. Murzakhanov
R. A. Rafikov
A. F. Skochilov
V. A. Cheredilin
Yu. P. Chugunov
Technical Physics, 1998, 43 : 591 - 595
[39] Two-loop superstrings on orbifold compactifications
Aoki, K
D'Hoker, E
Phong, DH
NUCLEAR PHYSICS B, 2004, 688 (1-2) : 3 - 69
[40] Design and analysis of a two-loop autopilot
Dept. of Flying Vehicle Engineering, Beijing Inst. of Technology, Beijing 100081, China
Xi Tong Cheng Yu Dian Zi Ji Shu/Syst Eng Electron, 2008, 12 (2447-2450):

← 1 2 3 4 5 →