袁荣
从事常微分方程定性理论和动力系统的研究:概周期解的存在性、拟周期解的存在性、不变环面和解的有界性
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- 姓名:袁荣
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学术头衔:
博士生导师
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学科领域:
数学
- 研究兴趣:从事常微分方程定性理论和动力系统的研究:概周期解的存在性、拟周期解的存在性、不变环面和解的有界性
袁荣,男,博士,1962年1月生,出生地点是江苏省淮安市,现为北京师范大学数学系教授、博士生导师。从事常微分方程定性理论和动力系统的研究。1978.9-1982.7间, 在徐州师范大学数学系学习, 获学士学位. 1985.9-1988.7间, 南京大学数学系研究生, 获硕士学位. 1991.9-1994.6间, 北京大学数学系博士研究生, 获博士学位. 1994.6-1996.5间, 北京师范大学数学博士后流动站博士后. 1998.11-1999.10间, 德国科隆大学博士后研究。1999年在北京师范大学数学系破格晋升教授。2000年, 任北京师范大学数学系博士生导师. 1996年起,兼任美国数学会《Mathematical Reviews》和欧洲数学会《Zentralblatt fur Mathematik》评论员. 现为中国数学会会员和美国数学会会员。 1997年起,得到了国家自然科学基金青年基金、国家自然科学基金、国家自然科学基金重点项目、教育部优秀青年教师资助计划项目、国家教育部高等学校骨干教师资助计划、教育部博士点基金等多项基金资助。获得过北京师范大学学校励耘奖学助学基金优秀学术著作奖和学校优秀科技成果奖。2003年获教育部提名国家科学技术奖自然科学奖二等奖。1997以来分别去保加利亚、西班牙、日本、德国等国进行短期研究访问。在“中国科学”、“Nonlinear Analysis, TMA”、“ZAMP”、“Journal of Mathematical Analysis and Applications”、“IEEE Transactions of Automatic Control”、等国内外重要学术期刊发表论文50多篇,论文被SCI收录了30多篇。研究主要围绕下面三个研究课题: 概周期解的存在性、拟周期解的存在性、不变环面和解的有界性, 取得了好的结果。
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【期刊论文】Stability and bifurcation in a harmonic oscillator with delays☆
袁荣, Zhihua Liu, Rong Yuan *
Chaos, Solitons and Fractals 23(2005)551-562,-0001,():
-1年11月30日
We consider a harmonic oscillator with delays. Linear stability is investigated by analyzing the associated characteristic transcendental equation. The bifurcation analysis of the equation shows that Hopf bifurcation can occur as the delay s (taken as a parameter) crosses some critical values. The direction and stability of the Hopf bifurcation are considered by using the normal form theory due to Faria and Magalhaes. An example is given to explain the results. Numerical simulations support our results.
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【期刊论文】Uniform Asymptotic Stability of Hybrid Dynamical Systems With Delay
袁荣, Rong Yuan, Zhujun Jing, Luonan Chen
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 48, NO. 2, FEBRUARY 2003,-0001,():
-1年11月30日
In this present note, we formulate a model for hybrid dynamical systems with delay, which covers a large class of delay systems. Under several mild assumptions, we establish sufficient conditions for uniform asymptotic stability of hybrid dynamical systems with delay via Lyapunov-Razumikhin technique. To demonstrate the developed theory, we conduct stability analyzes for delay sampled-data feedback control systems including a nonlinear continuous-time plant and a linear discrete-time controller.
Hybrid dynamical system, Razumikhin technique, uniform asymptotic stability.,
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袁荣, Rong Yuan
Nonlinear Analysis 48(2002)1013-1032,-0001,():
-1年11月30日
Almost periodic solution, Almost periodic sequence, Asymptotically almost periodic sequence, Piecewise constant argument, Razumikhin technique
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44浏览
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袁荣, RONG YUAN
,-0001,():
-1年11月30日
Reversible system, KAM theorem, quasiperiodic solutions, boundedness of solutions.,
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46浏览
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120下载
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袁荣, Rong Yuan
Nonlinear Analysis 41(2000)871-890,-0001,():
-1年11月30日
Pseudo-almost periodic solutions, Pseudo-almost periodic sequences, Neutral delay equation, Piecewise constant argument
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31浏览
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袁荣, Rong Yuan
Nonlinear Analysis 52(2003)1411-1440,-0001,():
-1年11月30日
In this paper, we study the existence of almost and quasi-periodic solutions to two classes of second-order differential equations. As a corollary, it is shown that periodic and unbounded solutions can coexist for the equation x11(t)+œ2x(t)=bx([t])+f(t), which is different from the case: b=0. This phenomena is due to the piecewise constant argument and illustrates a crucial difference between ordinary differential equations and differential equations with piecewise constant argument. The results are extended to nonlinear equations.
Almost periodic solutions, Quasi-periodic solutions, Delay equations, Piecewise constant argument
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29浏览
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袁荣, R. Yuan
J. Math. Anal. Appl. 274(2002)124-133,-0001,():
-1年11月30日
In this paper, we discuss the quasi-periodic logistic delay differential equations. As a corollary, we give a more sharp result than that in [G. Seifert, J. Differential Equations 164 (2000) 451–458] for the periodic logistic delay differential equations.
Logistic equation, Delay, Quasi-periodic
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56浏览
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【期刊论文】Qualitative Behavior of Output for Sampled-Data Feedback Control Systems
袁荣, RONG YUAN, ZHUJUN JING
,-0001,():
-1年11月30日
The present paper is concerned with the qualitative behavior of output for sampleddata feedback control systems. Some sufficient conditions are established for the existence of almost periodic output, quasi-periodic output, periodic output, respectively. A special case of sampled-data feedback control systems is detailed.
Sampled-data feedback control system, Hybrid dynamical system, Plant output, Controller,, Almost periodicity.,
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44浏览
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袁荣, Rong Yuana, ∗, Xiaoping Yuanb
Nonlinear Analysis 46(2001)1073-1087,-0001,():
-1年11月30日
Reversible system, Moser', s twist theorem, Boundedness of solutions, Quasiperiodic solutions
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34浏览
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83下载
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袁荣, Rong Yuan
Nonlinear Analysis 37(1999)841-859,-0001,():
-1年11月30日
Almost periodic solutions, Almost periodic sequences, Piecewise constant argument, Singular perturbation
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45浏览
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