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http://hdl.handle.net/20.500.12386/27424| Title: | Lyapunov functions for a non-linear model of the X-ray bursting of the microquasar GRS 1915+105 | Authors: | Ardito, A. Ricciardi, P. Massaro, E. MINEO, TERESA Massa, F. |
Issue Date: | 2017 | Journal: | INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | Number: | 88 | First Page: | 142 | 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. | URI: | http://hdl.handle.net/20.500.12386/27424 | URL: | http://arxiv.org/abs/1705.03631v1 https://www.sciencedirect.com/science/article/abs/pii/S0020746216302840?via%3Dihub |
ISSN: | 0020-7462 | DOI: | 10.1016/j.ijnonlinmec.2016.10.017 | Bibcode ADS: | 2017IJNLM..88..142A | Fulltext: | open |
| Appears in Collections: | 1.01 Articoli in rivista |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 1705.03631.pdf | preprint | 647.84 kB | Adobe PDF | View/Open |
| 1-s2.0-S0020746216302840-main.pdf | [Administrators only] | 911.58 kB | Adobe PDF | View/Open |
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