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Lyapunov functions for a non-linear model of the X-ray bursting of the microquasar GRS 1915+105 (1705.03631v1)

Published 10 May 2017 in astro-ph.HE

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.