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

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• 作者：A. Ardito^a ; P. Ricciardi^a ; ^b ; E. Massaro^b ; ^c ; T. Mineo^d ; ^{mineo@iasf-palermo.inaf.it} ; F. Massa^e ; ¹
• 关键词：Non-linear systems ; Lyapunov function ; Microquasar oscillations
• 刊名：International Journal of Non-Linear Mechanics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：88
• 期：Complete
• 页码：142-147
• 全文大小：911 K
• 卷排序：88

文摘

The microquasar GRS 1915+105 exhibits long series of X-ray bursts. A non-linear ODE system is used to model the shapes of these bursts. A bi-parametric family of Lyapunov functions is introduced. Sufficient conditions for the global asymptotic stability are given. The transition to stable states due to changes of a single parameter is studied.