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

Demongeot, Jacques; Istrate, Dan; 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 de la Revista: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
Volumen: 13
Número: 8
Editorial: AMER INST MATHEMATICAL SCIENCES-AIMS
Fecha de publicación: 2020
Página de inicio: 2121
Página final: 2134
DOI:

10.3934/DCDSS.2020181

Notas: ISI