Ardito, A.A.ArditoRicciardi, P.P.RicciardiMassaro, E.E.MassaroMINEO, TERESATERESAMINEOMassa, F.F.Massa2020-09-162020-09-1620170020-7462http://hdl.handle.net/20.500.12386/27424This 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.STAMPAenArticle10.1016/j.ijnonlinmec.2016.10.0172-s2.0-84995948341000390074100014http://arxiv.org/abs/1705.03631v1https://www.sciencedirect.com/science/article/abs/pii/S0020746216302840?via%3Dihub2017IJNLM..88..142AFIS/05 - ASTRONOMIA E ASTROFISICA