检索结果-南通市图书馆

On periodic groups with prescribed orders of elements

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2009年第2期52卷 311-317页

作者： MAZUROV Victor Danilovich Sobolev Institute of Mathematics Siberian Branch of Russian Academy of Sciences

This is a survey of results and open problems concerning the structure of periodic group with prescribed orders of their elements. In particular, an outline of a proof of the following recent result is given: every pe... 详细信息

关键词： spectrum periodic group local finiteness

Constructive proof on the existence of periodic solution of Duffing equation

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1997年第22期42卷 1870-1874页

作者： Li, WG Shen, ZH Nanjing Univ Dept Math Nanjing 210093 Peoples R China

CONSIDER the following boundary value problem of Duffing equation:{x(t)+Cx’(t)+g(t,x)=e(t), x(0)-x’(zπ)=x’(0)-x’(2π)=0,} (1)where g: R×R→R is continuous and continuously differentiable with respect to x, continu-ous and 2π-periodic with respect to t. C is a constant. e: R→R is continuous and 2π-period-ic. If there exist two almost everywhere continuous functions a(t), b(t)

关键词： Duffing equation periodic solution continuation.

Coexistence of unbounded solutions and periodic solutions of Liénard equations with asymmetric nonlinearities at resonance

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2007年第8期50卷 1205-1216页

作者： Zai-hong WANG School of Mathematical Sciences,Capital Normal University,Beijing 100037,China School of Mathematical Sciences Capital Normal University Beijing China

In this paper,we deal with the existence of unbounded orbits of the mapping where n is a positive integer,c is a constant andμ（θ）is a 2π-periodic function.We prove that if c>0 andμ（θ）≠0,θ∈[0,2π],then every orbit of the given mapping goes to infinity in the future forρlarge enough;if c+-bx-+φ（x）= p（t）has unbounded solutions provided that a,b satisfy 1/a1/2+1/b1/2=2/n and F（x）（=∫0x f（s）ds）, andφ（x）satisfies some limit conditions.At the same time,we obtain the existence of 2π-periodic solutions of this equation.

关键词： Liénard equations unbounded solutions periodic solutions

Pseudo almost periodic solutions to parabolic boundary value inverse problems

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2008年第7期51卷 1203-1214页

作者： ZHANG ChuanYi & YANG FengLin Department of Mathematics,Harbin Institute of Technology,Harbin 150001,China Department of Mathematics Harbin Institute of Technology Harbin China

We first define the pseudo almost periodic functions in a more general setting.Then we show the existence,uniqueness and stability of pseudo almost periodic solutions of parabolic inverse problems for a type of bounda... 详细信息

关键词： pseudo almost periodic function inverse problem parabolic equation boundary value problem

Bifurcations of Invariant Tori and Subharmonic Solutions for periodic Perturbed Systems

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 1994年第11期37卷 1325-1336页

作者：韩茂安 Department of Mathematics Shandong Mine InstituteTaian 271019PRC

The time-periodic perturbations of planar Hamiltonian systems are investigated.A necessary condition for the existence of an invariant torus,a sufficient condition for the bifurcation of a unique invariant torus and a... 详细信息

关键词： periodic perturbed system invariant torus subharmonic solution.

Existence of periodic solutions for Lienard equations with finite delay

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1997年第14期42卷 1145-1149页

作者： Wei, JJ Huang, QC Department of Mathematics Northeast Normal University Changchun China

THE existence of periodic solutions of Lienard equation with finite delay x(t) + f(x(t))x(t) + g(x(t-r))=0 (1)has been studied extensively. However, most works we have so far require the assumption thatx·g(x)>0 for a... 详细信息

关键词： delay Lienard equations bifurcations periodic solutions.

The numbers of periodic orbits hidden at fixed points of 2-dimensional holomorphic mappings

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2010年第3期53卷 863-886页

作者： ZHANG GuangYuan Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China Department of Mathematical Sciences Tsinghua University Beijing China

Let △n be the ball |x| < 1 in the complex vector space C n , let f :△n→ C n be a holomorphic mapping and let M be a positive integer. Assume that the origin 0 = (0, . . . , 0) is an isolated fixed point of both f a... 详细信息

Let △n be the ball |x| periodic points of period M of f hidden at the origin: any holomorphic mapping f 1 :△n→ C n sufficiently close to f has exactly P M (f, 0) distinct periodic points of period M near the origin, provided that all the fixed points of f M 1 near the origin are simple. Therefore, the number O M (f, 0) = P M (f, 0)/M can be understood to be the number of virtual periodic orbits of period M hidden at the fixed point. According to the works of Shub-Sullivan and Chow-Mallet-Paret-Yorke, a necessary condition so that there exists at least one virtual periodic orbit of period M hidden at the fixed point, i.e., O M (f, 0)≥1, is that the linear part of f at the origin has a periodic point of period M. It is proved by the author recently that the converse holds true. In this paper, we will study the condition for the linear part of f at 0 so that O M (f, 0)≥2. For a 2 × 2 matrix A that is arbitrarily given, the goal of this paper is to give a necessary and sufficient condition for A, such that O M (f, 0)≥2 for all holomorphic mappings f :△2 → C 2 such that f(0) = 0, Df(0) = A and that the origin 0 is an isolated fixed point of f M .

关键词： complex dynamical systems periodic points fixed point indices

Oscillatory periodic solutions of differential-delay equations with multiple lags

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1997年第6期42卷 444-447页

作者： GE WeigaoDepartment of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China Department of Applied Mathematics Beijing Institute of Technology Beijing China

BASED on the Nussbaum’s results, we studied in ref. [2] the conditions for the existence of oscillatory periodic solutions to the differential-delay equations (DDEs)

关键词： differential-delay equation periodic solution multiple lags.

Existence and uniqueness of hyperbolic periodic solution for a class Hamiltonian systems

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1999年第13期44卷 1184-1187页

作者： Guanghua Li Jianhua Liu Hunan Coll Finance & Econ Dept Insurance Changsha 410070 Peoples R China

Using the component Lyapunov functions and critical point theory, the theorem of exis tence and uniqueness of hyperbolic periodic solution for a class of Hamiltonian systems is

关键词： Hamiltonian system hyperbolic periodic solution component Lyapunov functions.