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检索条件"主题词=Homoclinic"
34 条 记 录,以下是1-10 订阅
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Cyclicity of homoclinic loops and degenerate cubic Hamiltonians
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Science China Mathematics 1999年 第6期42卷 605-617页
作者: 韩茂安 叶彦谦 朱德明 Department of Mathematics Shanghai Jiaotong University Shanghai China Department of Mathematics Nanjing University Nanjing China Department of Mathematics East China Normal University Shanghai China
New conditions for a planar homoclinic loop to have cyclicity two under multiple parameter perturbations have been obtained. As an application it is proved that a homoclinic loop of a nongeneric cubic Hamiltonian has ... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
homoclinic and heteroclinic solutions of cubic strongly nonlinear autonomous oscillators by hyperbolic Lindstedt-Poincaré method
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Science China(Technological Sciences) 2010年 第3期53卷 692-702页
作者: SZE Kam Yim Department of Mechanical Engineering The University of Hong Kong
The hyperbolic Lindstedt-Poincaré method is applied to determine the homoclinic and heteroclinic solutions of cubic strongly nonlinear oscillators of the form x + c1 x + c3 x 3= ε f (μ,x,x).In the method,the hyperb... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
homoclinic, heteroclinic and periodic orbits of singularly perturbed systems
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Science China Mathematics 2019年 第9期62卷 1687-1704页
作者: Xiang Zhang School of Mathematical Sciences Key Laboratory of Scientific and Engineering Computing (Ministry of Education)Shanghai Jiao Tong University
The main aims of this paper are to study the persistence of homoclinic and heteroclinic orbits of the reduced systems on normally hyperbolic critical manifolds, and also the limit cycle bifurcations either from the ho... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
homoclinic orbits for the second-order Hamiltonian systems with obstacle item
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Science China Mathematics 2010年 第11期53卷 3005-3014页
作者: YIN CuiCui & ZHANG FuBao Department of Mathematics, Southeast University, Nanjing 211189, China Department of Mathematics Southeast University Nanjing China
This paper is concerned with the existence of homoclinic orbits for the second-order Hamiltonian system with obstacle item, ü(t)-A u(t) =▽F (t, u), where F (t, u) is T-periodic in t with ▽F (t, u) = L(t)u + ▽R(t,u... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
On the number of limit cycles in double homoclinic bifurcations
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Science China Mathematics 2000年 第9期43卷 914-928页
作者: 韩茂安 陈健 Department of Mathematics Shanghai Jiao Tong University Shanghai 200030 China
Let L be a double homoclinic loop of a Hamiltonian system on the plane. We obtain a condition under which L generates at most two large limit cycles by perturbations. We also give conditions for the existence of at mo... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
Cyclicity of planar homoclinic loops and quadratic integrable systems
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Science China Mathematics 1997年 第12期40卷 1247-1258页
作者: 韩茂安 Department of Mathematics Shanghai Jiaotong UniversityShanghai 200030China
A general method for a homoclinic loop of planar Hamiltonian systems to bifurcate two or three limit cycles under perturbations is *** conditions are given under which the cyclicity of a homoclinic loop equals 1 or **... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
On nulls of perturbed Fredholm operators and degenerate homoclinic bifurcations
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Science China Mathematics 2004年 第4期47卷 617-627页
作者: ZHANG WeinianDepartment of Mathematics, Sichuan University, Chengdu 610064, China Department of Mathematics Sichuan University Chengdu China
It is known that small perturbations of a Fredholm operatorL have nulls of dimension not larger than dimN(L). In this paper for any given positive integer κ ? dimN(L) we prove that there is a perturbation ofL which h... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论
Canard explosion,homoclinic and heteroclinic orbits in singularly perturbed generalist predator-prey systems
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International Journal of Biomathematics 2021年 第1期14卷 151-174页
作者: Ali Atabaigi Department of Mathematics Razi UniversityKermanshahIran
This paper studies the dynamics of the generalist predator–prey systems modeled in[***,*** and ***,Bistability and limit cycles in generalist predator–prey dynamics,***.14(2013)48–55].When prey reproduces much fast... 详细信息
来源: 维普期刊数据库 维普期刊数据库 评论
The homoclinic Orbit Solution for Functional Equation
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Communications in Theoretical Physics 2002年 第5期38卷 553-554页
作者: LIU Shi-Da FU Zun-Tao LIU Shi-Kuo REN Kui School of Physics Peking University Beijing 100871 China STCS Peking University Beijing 100871 China School of Physics Peking University Beijing 100871 China STCS Peking University Beijing 100871 China School of Physics Peking University Beijing 100871 China School of Physics Peking University Beijing 100871 China
In this paper, some examples, such as iterated functional systems, scaling equation of wavelet transform,and invariant measure system, are used to show that the homoclinic orbit solutions exist in the functional equat... 详细信息
来源: 维普期刊数据库 维普期刊数据库 维普期刊数据库 维普期刊数据库 评论
Codimension 3 nonresonant bifurcations of homoclinic orbits with two inclination flips
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Science China Mathematics 2005年 第2期48卷 248-260页
作者: SHUI Shuliang & ZHU Deming College of Mathematics and Physics, Zhejiang Normal University, Jinhua 321004, China Department of Mathematics, East China Normal University, Shanghai 200062, China College of Mathematics and Physics Zhejiang Normal University Jinhua China Department of Mathematics East China Normal University Shanghai China
homoclinic bifurcations in four-dimensional vector fields are investigated by setting up a local coordinate near a homoclinic orbit. This homoclinic orbit is principal but its stable and unstable foliations take incli... 详细信息
来源: 维普期刊数据库 维普期刊数据库 同方期刊数据库 同方期刊数据库 评论