Lyapunov functions for a non-linear model of the X-ray bursting of the microquasar GRS 1915+105

A. Ardito; P. Ricciardi; E. Massaro; T. Mineo; F. Massa

doi:10.1016/j.ijnonlinmec.2016.10.017

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arXiv · 1705.03631

Lyapunov functions for a non-linear model of the X-ray bursting of the microquasar GRS 1915+105

A. Ardito·P. Ricciardi·E. Massaro·T. Mineo·F. Massa

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Abstract

This paper introduces a biparametric family of Lyapunov functions for a non-linear mathematical model based on the FitzHugh-Nagumo equations able to reproduce some main features of the X-ray bursting behaviour exhibited by the microquasar GRS 1915+105. These functions are useful to investigate the properties of equilibrium points and allow us to demonstrate a theorem on the global stability. The transition between bursting and stable behaviour is also analyzed.

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A. Ardito, P. Ricciardi, E. Massaro, T. Mineo, F. Massa. 2017-05-10. Lyapunov functions for a non-linear model of the X-ray bursting of the microquasar GRS 1915+105. https://doi.org/10.1016/j.ijnonlinmec.2016.10.017

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