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arXiv:1705.03631 [astro-ph.HE]AbstractReferencesReviewsResources

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

Published 2017-05-10Version 1

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.

Comments: Published on International Journal of Non-Linear Mechanics, vol. 88, pp. 142-147
Categories: astro-ph.HE
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