Lyapunov functions for a non-linear model of the X-ray bursting of the microquasar GRS 1915+105
arXiv:1705.03631 · doi:10.1016/j.ijnonlinmec.2016.10.017
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.
arXiv commentPublished on International Journal of Non-Linear Mechanics, vol. 88, pp. 142-147
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