期刊文献+

一类微气泡耦合时滞系统的稳定性以及Hopf分支

Analysis on Stability and Hopf Bifurcation for a Class of Dynamics of Microbubble with Delay Coupling
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摘要 主要研究了一类微气泡耦合时滞系统的动力学性质,重点分析了液体中球形微气泡在无外部激励下,系统平衡点的局部稳定性及Hopf分支. In this paper, a class of dynamical properties of double microbubbles oscillators is studied. Focusing on the micro - bubbles in the liquid sphere without external excitation, the system of local stability near the equilibrium point and Hopf bifurcation are mainly researched.
出处 《哈尔滨师范大学自然科学学报》 CAS 2015年第4期1-4,共4页 Natural Science Journal of Harbin Normal University
基金 国家自然科学基金面上项目(11371112)
关键词 微气泡耦合系统 稳定性 HOPF分支 时滞 System of coupled microbubbles Stability Hopf bifurcation Delay
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参考文献4

  • 1Rayleigh L. On the pressure developed in a liquid during the collapse of a spherical cavity [ J ]. Philosophical Magazine Se- ties, 1917,34: 94-112. 被引量:1
  • 2Plesset M S. The dynamics of cavitation bubbles [ J ]. Applied Mechanics, 1949, 16: 277-282. 被引量:1
  • 3Plesset M S, Prosperetti A. Bubble dynamics and cavitation[ J]. Annual review of fluid mechanics, 1977, 9 : 145 - 185. 被引量:1
  • 4Ruan S, Wei J. On the zeros of transcendental functions with applications to stability of delay differential equations with two delays [ J ]. Dynamics of Continuous, Discrete and Impulsive Systems Series A : Mathematical Analysis, 2003, 10 : 863 - 874. 被引量:1

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