• 文献检索
  • 文档翻译
  • 深度研究
  • 学术资讯
  • Suppr Zotero 插件Zotero 插件
  • 邀请有礼
  • 套餐&价格
  • 历史记录
应用&插件
Suppr Zotero 插件Zotero 插件浏览器插件Mac 客户端Windows 客户端微信小程序
定价
高级版会员购买积分包购买API积分包
服务
文献检索文档翻译深度研究API 文档MCP 服务
关于我们
关于 Suppr公司介绍联系我们用户协议隐私条款
关注我们

Suppr 超能文献

核心技术专利:CN118964589B侵权必究
粤ICP备2023148730 号-1Suppr @ 2026

文献检索

告别复杂PubMed语法,用中文像聊天一样搜索,搜遍4000万医学文献。AI智能推荐,让科研检索更轻松。

立即免费搜索

文件翻译

保留排版,准确专业,支持PDF/Word/PPT等文件格式,支持 12+语言互译。

免费翻译文档

深度研究

AI帮你快速写综述,25分钟生成高质量综述,智能提取关键信息,辅助科研写作。

立即免费体验

Chaos in two-loop negative feedback systems.

作者信息

Bastos de Figueiredo J C, Diambra L, Glass Leon, Malta C P

机构信息

Instituto do Coração, Universidade de São Paulo, Avenida Dr. Eneas de Carvalho Aguiar, 44, 05403-000 São Paulo, São Paulo, Brazil.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2002 May;65(5 Pt 1):051905. doi: 10.1103/PhysRevE.65.051905. Epub 2002 May 6.

DOI:10.1103/PhysRevE.65.051905
PMID:12059591
Abstract

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.

摘要

相似文献

1
Chaos in two-loop negative feedback systems.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 May;65(5 Pt 1):051905. doi: 10.1103/PhysRevE.65.051905. Epub 2002 May 6.
2
Impulsive control of stochastic systems with applications in chaos control, chaos synchronization, and neural networks.具有混沌控制、混沌同步及神经网络应用的随机系统的脉冲控制
Chaos. 2008 Jun;18(2):023132. doi: 10.1063/1.2939483.
3
Chaos control and synchronization in Bragg acousto-optic bistable systems driven by a separate chaotic system.由独立混沌系统驱动的布拉格声光双稳系统中的混沌控制与同步
Chaos. 2005 Sep;15(3):33110. doi: 10.1063/1.2008787.
4
Tunable oscillations and chaotic dynamics in systems with localized synthesis.具有局部合成的系统中的可调振荡和混沌动力学。
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Apr;85(4 Pt 2):046210. doi: 10.1103/PhysRevE.85.046210. Epub 2012 Apr 16.
5
Reconstruction of time-delay systems using small impulsive disturbances.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Dec;80(6 Pt 2):066206. doi: 10.1103/PhysRevE.80.066206. Epub 2009 Dec 16.
6
Routes to complex dynamics in a ring of unidirectionally coupled systems.环型单向耦合系统中的复杂动力学途径。
Chaos. 2010 Mar;20(1):013111. doi: 10.1063/1.3293176.
7
Tracking unstable steady states and periodic orbits of oscillatory and chaotic electrochemical systems using delayed feedback control.利用延迟反馈控制跟踪振荡和混沌电化学系统的不稳定稳态及周期轨道。
Chaos. 2006 Sep;16(3):033109. doi: 10.1063/1.2219702.
8
Higher-codimension bifurcations in a discrete unidirectional neural network model with delayed feedback.具有延迟反馈的离散单向神经网络模型中的高余维分岔
Chaos. 2008 Jun;18(2):023105. doi: 10.1063/1.2903756.
9
Projective-anticipating, projective, and projective-lag synchronization of time-delayed chaotic systems on random networks.随机网络上时滞混沌系统的投射-预期同步、投射同步和投射滞后同步
Chaos. 2008 Jun;18(2):023117. doi: 10.1063/1.2912720.
10
Experimental investigations on nonlinear dynamics in supercontinuum generation with feedback.具有反馈的超连续谱产生中的非线性动力学实验研究。
Opt Express. 2010 Mar 29;18(7):7190-202. doi: 10.1364/OE.18.007190.

引用本文的文献

1
Impact of Negative Feedbacks on De Novo Pyrimidines Biosynthesis in .负反馈对从头嘧啶生物合成的影响。
Int J Mol Sci. 2023 Mar 2;24(5):4806. doi: 10.3390/ijms24054806.
2
Nonlinear delay differential equations and their application to modeling biological network motifs.非线性时滞微分方程及其在生物网络基元建模中的应用。
Nat Commun. 2021 Mar 19;12(1):1788. doi: 10.1038/s41467-021-21700-8.
3
Nonlinear phenomena in models of the circadian clock.生物钟模型中的非线性现象。
J R Soc Interface. 2020 Sep;17(170):20200556. doi: 10.1098/rsif.2020.0556. Epub 2020 Sep 30.
4
Chaos and Hyperchaos in a Model of Ribosome Autocatalytic Synthesis.核糖体自催化合成模型中的混沌与超混沌。
Sci Rep. 2016 Dec 12;6:38870. doi: 10.1038/srep38870.
5
Promoters Architecture-Based Mechanism for Noise-Induced Oscillations in a Single-Gene Circuit.基于启动子结构的单基因回路中噪声诱导振荡机制
PLoS One. 2016 Mar 9;11(3):e0151086. doi: 10.1371/journal.pone.0151086. eCollection 2016.
6
Periodicity in piecewise-linear switching networks with delay.具有延迟的分段线性切换网络中的周期性
J Math Biol. 2007 Aug;55(2):271-98. doi: 10.1007/s00285-007-0084-8. Epub 2007 Mar 23.