Hopf Bifurcation Analysis of A Delayed equation

机译：一类时滞方程的Hopf分支分析

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摘要

A delay-differential equation is considered. The iteration method is used to search for Hopf bifurcations as parameter in this model is vary. The result obtained in this paper illustrate its effectiveness.

机译：考虑延迟微分方程。当模型中的参数变化时，使用迭代方法搜索Hopf分支。本文获得的结果说明了其有效性。

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《International conference on application of mathematics and physics;AMP2010》|2010年|p.404-406|共3页
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Xiao-Ling Li; Guang-Ping Hu;
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中图分类应用气象学;
关键词
Delay; Hopfbifurcation; Periodic solution; Iteration method;

机译：时滞; Hopf分支;周期解;迭代法;

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2. Steady-state, hopf and steady-state-hopf bifurcations in delay differential equations with applications to a damped harmonic oscillator with delay feedback [J] . Song Y., Jiang J. International journal of bifurcation and chaos in applied sciences and engineering . 2012,第12期

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3. Zero-Hopf bifurcation analysis in delayed differential equations with two delays [J] . Wu Xiaoqin P., Wang Liancheng Journal of the Franklin Institute . 2017,第3期

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4. INTRODUCTION TO HOPF BIFURCATION THEORY FOR DELAY DIFFERENTIAL EQUATIONS [C] . M.L. Hbid NATO Advanced Study Institute on Delay Differential Equations and Applications . 2006

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5. Pitchfork and Hopf bifurcation threshold in stochastic equations with delayed feedback. [D] . Lepine, Francoise. 2009

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6. Andronov–Hopf and Neimark–Sacker bifurcations in time-delay differential equations and difference equations with applications to models for diseases and animal populations [O] . Rachadawan Darlai, Elvin J. Moore, Sanoe Koonprasert -1

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7. Extensions of an algorithm for the analysis of nongeneric Hopf bifurcations, with applications to delay-difference equations [O] . Jeffery M. Franke, Harlan W. Stech 1991

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8. Prelude to Hopf Bifurcation in an Epidemic Model: Analysis of a Characteristic Equation Associated with a Nonlinear Volterra Integral Equation [R] . Diekmann, O., Montijn, R. 1981

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Hopf Bifurcation Analysis of A Delayed equation

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