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

Demongeot, Jacques; Khlaifi, Hajer; Megret, Lucile; Taramasco, Carla; Thomas, Rene

Abstract

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.

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Título según WOS: FROM CONSERVATIVE TO DISSIPATIVE NON-LINEAR DIFFERENTIAL SYSTEMS. AN APPLICATION TO THE CARDIO-RESPIRATORY REGULATION
Título según SCOPUS: From conservative to dissipative non-linear differential systems. An application to the cardio-respiratory regulation
Título de la Revista: Discrete and Continuous Dynamical Systems - Series S
Volumen: 13
Número: 8
Editorial: American Institute of Mathematical Sciences
Fecha de publicación: 2020
Página final: 2134
Idioma: English
DOI:

10.3934/dcdss.2020181

Notas: ISI, SCOPUS