首页 | 本学科首页   官方微博 | 高级检索  
     


Lyapunov functions for a non-linear model of the X-ray bursting of the microquasar GRS 1915+105
Affiliation:1. Department of Mathematics G. Castelnuovo, Sapienza Roma University, Roma, Italy;2. In Unam Sapientiam, Roma, Italy;3. IAPS, Istituto Nazionale di Astrofisica INAF, Roma, Italy;4. IASF, Istituto Nazionale di Astrofisica INAF, Palermo, Italy;5. INFN, Sezione Roma1, Roma, Italy;1. Department of Mechanics, School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, PR China;2. Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China;1. Université Paris-Est, Laboratoire Navier (UMR 8205), CNRS, Ecole des Ponts ParisTech, IFSTTAR, F-77455 Marne La Vallée, France;2. Université Paris-Est, MAST, SDOA, IFSTTAR, F-77447 Marne La Vallée, France;1. Dipartimento di Ingegneria Civile, Ambientale, Aerospaziale e dei Materiali DICAM, Viale delle Scienze, I-90128 Palermo, Italy;2. Center of Mechanics and Structural Dynamics, Vienna University of Technology, Karlsplatz 13, A-1040 Wien, Austria;1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi׳an 710072, China;2. Department of Mechanics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China
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.
Keywords:Non-linear systems  Lyapunov function  Microquasar oscillations
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号