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张芷芬文集 上下卷
  • 书号:9787030359889
    作者:张芷芬
  • 外文书名:
  • 装帧:圆脊精装
    开本:16
  • 页数:896
    字数:1408
    语种:汉语
  • 出版社:科学出版社
    出版时间:2015-09-21
  • 所属分类:O17 数学分析
  • 定价: ¥230.00元
    售价: ¥181.70元
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  本论文集收录了作者及与同事、学生合作的学术论文60篇,主要内容包括:拓扑动力系统理论;Liénard方程及广义Liénard方程的闭轨的存在性,闭轨个数的唯一性、唯二性及唯n性等;弱Hilbert第16问题及Abel积分理论。   本论文集可作为高等院校数学系高年级大学生及研究生的参考书,也可供相关专业教师及科研人员参考。
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目录

  • 上卷
    1.On the Uniqueness of Limit Cycles of Certain Equations of Nonlinear Oscillations Zhang Zhifen
    2.关于渐近轨线的一个例子 张芷芬
    3.Answers to Some Questions on Topological Dynamical Systems Posed Nemytskii Zhang Zhifen,Ding Tongren,Huang Wenzao
    4.关于拓扑动力系统的几个问题 张芷芬,丁同仁,黄文灶
    5.Theorem of Exact n Limit Cycles in|*|≤(n+1)πfor the Differential Equation*+μsin*+x=0 Zhang Zhifen
    6.关于Liénard方程极限环个数问题的几个例子 张芷芬,史希福
    7.关于Liénard方程极限环的唯二性问题 张芷芬
    8.关于Liénard方程至多存在n个极限环的一个充分条件 张芷芬,何启敏
    9.A Topological Dynamical System in R^3with Antonies Necklace as a Minimal Set Zhang Zhifen
    10.一个紧致非齐性极小集合的例子 张芷芬
    11.关于一类非线性方程至少存在n个极限环的条件 张芷芬
    12.关于Liénard方程极限环个数的唯n性问题 张芷芬
    13.On the Existence of Exact n Limit Cycles of the Liénard Equations Zhang Zhifen
    14.一类非线性方程极限环的唯一性问题 张芷芬,高素志
    15.Proof of the Uniqueness Theorem of Limit Cycles of Generalized Liénard Equations Zhang Zhifen
    16.About Singular Points of a Polynomial System Zhang Zhifen
    17.Abelian Integrals for Quadratic Vector Fields Drachman B.,van Gils S.A.,Zhang Zhifen
    18.Periodic Solutions of a Switching Dynamical System in the Plane Villart Gabriele,Zhang Zhifen
    19.Global Bifurcation Analysis of an Adaptive Control System Salam,Fathi M.A.,van Gils,Stephen A.,Zhang Zhifen
    20.High Order Melnikov Functions and the Problem of Uniformity in Global Bifurcation Zhang Zhifen,Li Baoyi
    21.Unfolding of the Critical Homoclinic Orbit of a Class of Degenerate Equilibrium Points Li Weigu,Li Chengzhi,Zhang Zhifen
    22.一类二次Hamilton系统在二次扰动下的三参数开折 张芷芬,李承治
    23.On the Uniqueness of the Limit Cycle of the Generalized Liénard Equation Zeng Xianwu,Zhang Zhifen,Gao Suzhi
    24.A Note of a G.S.Petrovs Result About the Weakened 16th Hilbert Problem Li Baoyi,Zhang Zhifen
    25.An Estimate of the Number of Zeros of Abelian Integrals for Cubic Vector Fields with Cuspidal Loop Zhao Yulin,Zhang Zhifen
    26.A Note on a Result of G.S.Petrov About the Weakened 16th Hilbert Problem Li Baoyi,Zhang Zhifen
    27.Weak Focus,Limit Cycles,and Bifurcations for Bounded Quadratic Systems Li Chengzhi,Llibre Jaume,Zhang Zhifen
    28.On the Number of Limit Cycles of Quadratic Hamiltonian Systems Under Quadratic Perturbations Zhang Zhifen,Li Baoyi
    29.Generic Hamiltonian Systems with Small Perturbations Li Baoyi,Zhang Zhifen
    30.Bifurcations of a Class of Nongeneric Quadratic Hamiltonian Systems Under Quadratic Perturbations Li Baoyi,Xiao Dongmei,Zhang Zhifen
    31.A Criterion for Determining the Monotonicity of the Ratio of Two Abelian Integrals Li Chengzhi,Zhang Zhifen
    32.Study of Perturbed Lotka-Volterra Systems Via Abelian Integrals Gasull A.,Guillamon A.,Li Chengzhi,Zhang Zhifen
    33.Abelian Integrals of Quadratic Hamiltonian Vector Fields with an Invariant Straight Line Li Chengzhi,Llibre Jaume,Zhang Zhifen
    34.一类非通有的二次Hamilton 系统在二次扰动下的分歧现象 李宝毅,张芷芬,李承治
    下卷
    35.Recent Developments in Research of Hilbert 16th Problem and Weakened Hilbert 16th Problem Zhang Zhifen
    36.On the Number of Limit Cycles of a Class of Quadratic Hamiltonian Systems Under Quadratic Perturbations Zhang Zhifen,Li Chengzhi
    37.Unfolding of a Quadratic Integrable System with Two Centers and Two Unbounded Heteroclinic Loops Dumortier Freddy,Li Chengzhi,Zhang Zhifen
    38.Bifurcation Phenomenon of a Class of Planar Codimension 3 Polycycle S(2)with Two Saddles Resonating Li Baoyi,Zhang Zhifen
    39.Cyclicity of Elementary Polycycles and Ensembles with Codimension 3 Degeneration Zhao Liqin,Li Weigu,Zhang Zhifen
    40.Hamilton系统的奇异环S(3)在小扰动下的分歧现象 李宝毅,张芷芬
    41.Cyclicity 1 and 2 Conditions for a 2-Polycycle of Integrable Systems on the Plane Han Maoan,Zhang Zhifen
    42.Linear Estimate of the Number of Zeros of Abelian Integrals for a Kind of Quartic Hamiltonians Zhao Yulin,Zhang Zhifen
    43.The Cyclicity of Polycycle S(2)of Planar Integrable Systems with Small Perturbations Li Baoyi,Zhang Zhifen
    44.Abelian Integrals for Cubic Vector Fields Zhao Yulin,Zhang Zhifen
    45.Linear Estimate for the Number of Zeros of Abelian Integrals for Quadratic Isochronous Centers Li Chengzhi,Li Weigu,Llibre Jaume,Zhang Zhifen
    46.On the Limit Cycles of Polynomial Differential Systems with Homogeneous Nonlinearities Li Chengzhi,Li Weigu,Llibre Jaume,Zhang Zhifen
    47.Bifurcations of Limit Cycles from Cubic Hamiltonian Systems with a Center and a Homoclinic Saddle-Loop Zhao Yulin,Zhang Zhifen
    48.Polynomial Systems: a Lower Bound for the Weakened 16th Hilbert Problem Li Chengzhi,Li Weigu,Llibre Jaume,Zhang Zhifen
    49.Linear Estimate of the Number of Zeros of Abelian Integrals for a Class of Integrable Non-Hamiltonian Systems Li Chengzhi,Li Weigu,Llibre Jaume,Zhang Zhifen
    50.Chebyshev Property of Complete Elliptic Integrals and Its Application to Abelian Integrals Gasull Armengol,Li Weigu,Llibre Jaume,Zhang Zhifen
    51.Linear Estimate of the Number of Zeros of Abelian Integrals for Quadratic Centers Having Almost All Their Orbits Formed by Cubics Zhao Yulin,Li Weigu,Li Chengzhi,Zhang Zhifen
    52.Abelian Integrals for Quadratic Centres Having Almost All Their Orbits Formed by Quartics Li Weigu,Zhao Yulin,Li Chengzhi,Zhang Zhifen
    53.Linear Estimation of the Number of Zeros of Abelian Integrals for Some Cubic Isochronous Centers Li Chengzhi,Li Weigu,Llibre Jaume,Zhang Zhifen
    54.On the Uniqueness and Nonexistence of Limit Cycles for Predator-Prey Systems Xiao Dongmei,Zhang Zhifeng
    55.New Families of Centers and Limit Cycles for Polynomial Differential Systems with Homogeneous Nonlinearities Li Chengzhi,Li Weigu,Jaume Llibre,Zhang Zhifen
    56.Abelian Integrals and Period Functions for Quasi-homogeneous Hamiltonian Vector Fields Zhao Yulin,Zhang Zhifen
    57.Sufficient Conditions for the Existence of at Least n or Exactly n Limit Cycles for the Liénard Differential Systems Chen Xiudong,Jaume Llibre,Zhang Zhifen
    58.On the Existence and Uniqueness of Limit Cycles for Generalized Liénard Systems Xiao Dongmei,Zhang Zhifen
    59.Focus-Center Problem of Planar Degenerate System Tang Yilei,Li Weigu,Zhang Zhifen
    60.Limit Cycles Bifurcating from the Period Annulus of Quasi-Homogeneous Centers Li Weigu,Llibre Jaume,Yang Jiazhong,Zhang Zhifen
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