FROM CONSERVATIVE TO DISSIPATIVE NON-LINEAR DIFFERENTIAL SYSTEMS. AN APPLICATION TO THE CARDIO-RESPIRATORY REGULATION

被引：3

作者：

Demongeot, Jacques ^{[1
]}

Istrate, Dan ^{[2
]}

Khlaifi, Hajer ^{[2
]}

Megret, Lucile ^{[3
]}

Taramasco, Carla ^{[4
]}

Thomas, Rene ^{[5
]}

机构：

[1] Univ Grenoble Alpes, AGEIS, Team Tools eGnosis Med, Fac Med, F-38706 La Tronche, France

[2] Univ Technol Compiegne, UMR CNRS Biomech & Bioengn 7338, F-60200 Compiegne, France

[3] Univ Paris 06, UMR Adaptat Biol & Vieillissement 8256, 7 Quai St Bernard, F-75252 Paris, France

[4] Univ Valparaiso, Escuela Ingn Civil Informat, Gen Cruz 222, Valparaiso, Chile

[5] Univ Libre Bruxelles, Ave Franklin Roosevelt 50, B-1050 Brussels, Belgium

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2020年 / 13卷 / 08期

关键词：

Conservative system; dissipative; arabesque; vegetative system; van der Pol; cardio-respiratory rhythms; VAGAL TONE; FORCED VAN; INTERVAL; CANARDS; MODEL;

D O I：

10.3934/dcdss.2020181

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We start by coupling negative 2-circuits, which are characteristic of the presence of a regulation loop in a dynamical system. This loop can be modelled with coupled differential equations represented in a first approach by a conservative differential system. Then, an example of regulation loop with a dissipative component will be given in human physiology by the vegetative system regulating the cardio-respiratory rhythms.

引用

页码：2121 / 2134

页数：14

共 32 条

[1] LINEAR AND NONLINEAR ARABESQUES: A STUDY OF CLOSED CHAINS OF NEGATIVE 2-ELEMENT CIRCUITS [J].