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

Ardito A.; Ricciardi P.; Massaro E.; Mineo T.; Massa F.

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

机译：Lyapunov用于微类星体GRS 1915 + 105的X射线爆裂的非线性模型

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摘要

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.

机译：本文介绍了基于FitzHugh-Nagumo方程的非线性数学模型的Lyapunov函数双参数族，该方程能够重现微类星体GRS 1915 + 105表现出的X射线爆裂行为的一些主要特征。这些函数对于研究平衡点的性质很有用，并允许我们证明一个关于整体稳定性的定理。还分析了突发和稳定行为之间的过渡。

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来源
《International journal of non-linear mechanics》 |2017年第1期|142-147|共6页
作者
Ardito A.; Ricciardi P.; Massaro E.; Mineo T.; Massa F.;
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作者单位

Sapienza Roma Univ, Dept Math G Castelnuovo, Rome, Italy;

Sapienza Roma Univ, Dept Math G Castelnuovo, Rome, Italy|Unam Sapientiam, Rome, Italy;

Unam Sapientiam, Rome, Italy|Ist Nazl Astrofis INAF, IAPS, Rome, Italy;

Ist Nazl Astrofis INAF, IASF, Palermo, Italy;

Ist Nazl Fis Nucl, Sez Roma1, Rome, Italy;

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正文语种 eng
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关键词
Non-linear systems; Lyapunov function; Microquasar oscillations;

机译：非线性系统;李雅普诺夫函数;微拟振荡;

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专利

1. Non-linear oscillator models for the X-ray bursting of the microquasar GRS 1915+105 [J] . E. Massaro, A. Ardito, P. Ricciardi, Astrophysics and space science . 2014,第2期

机译：用于微类星体GRS 1915 + 105的X射线爆裂的非线性振荡器模型
2. The complex behaviour of the microquasar GRS 1915+105 in the ρ class observed with BeppoSAX - III. The hard X-ray delay and limit cycle mapping [J] . F. Massa, E. Massaro, T. Mineo, Astronomy and astrophysics . 2013,第20期

机译：用BeppoSAX-III观察到的微类星体GRS 1915 + 105在ρ类中的复杂行为。硬X射线延迟和极限循环映射
3. Anti-Correlation of Near-Infrared and X-Ray Variations of the Microquasar GRS 1915+105 in the Soft State [J] . Akira ARAI, Makoto UEMURA, Mahito SASADA, PASJ: Publications of the Astronomical Society of Japan . 2009,第3期

机译：Microquasar GRS 1915 + 105在软状态下的近红外和X射线变化的反相关
4. The X-ray–radio association in RATAN and RXTE monitoring of microquasar GRS 1915+105 [C] . S. A. Trushkin, T. Kotani, N. Kawai, International Astronomical Union . 2007

机译：RATAN中的X射线无线电关联和Microquasar GRS 1915 + 105的RXTE监测
5. One-dimensional Turbulence Models of Type I X-ray Bursts. [D] . Hou, Chen. 2016

机译：I型X射线爆发的一维湍流模型。
6. On the modelling of tropical tree growth: the importance of intra-specific trait variation non-linear functions and phenotypic integration [O] . Jie Yang, Xiaoyang Song, Min Cao, 2021

机译：关于热带树增长的建模：特异性特性变异非线性功能和表型集成的重要性
7. Lyapunov functions for a non-linear model of the X-ray bursting of the microquasar GRS 1915+105 [O] . Ardito, A., Ricciardi, P., Massaro, E., 2017

机译：Lyapunov函数用于X射线爆发的非线性模型微类星体GRs 1915 + 105

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

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