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

Journal
Date Issued
2017
Author(s)
Ardito, A.
•
Ricciardi, P.
•
Massaro, E.
•
•
Massa, F.
DOI
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.
Volume
88
Start page
142
Uri
Url
Issn Identifier
0020-7462
Ads BibCode
2017IJNLM..88..142A
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open.access
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