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1)  homoclinic orbit
同宿轨
1.
New homoclinic orbits and soliton solutions for the classical Boussinesq equations;
经典Boussinesq方程的新同宿轨和孤立子解
2.
Because solitary waves are firmly connected with homoclinic orbits, we then prove, by geometric singular perturbation method, that the perburbed system has a homoclinic orbit.
孤立波现象是很活跃的一个研究领域,但带有小扰动的方程的孤立波目前研究还较少 讨论奇异扰动MKdV KS方程孤立波解的存在性,利用孤立波与同宿轨之间的关系,通过变量替换,将MKdV KS方程约化为带快-慢变量的常微分方程组,利用奇异扰动定性理论,找出退化慢子系统的同宿轨,证明扰动之后的方程组也存在同宿轨,从而证明MKdV KS方程仍有孤立波
2)  homoclinic orbits
同宿轨
1.
An existence theorem concerning denumerable 1-homoclinic orbits and countable families of 1-periodic orbits was given under a generic condition; and an intuitionistic description about those orbits was also given.
讨论了四维反转系统中异宿环附近的动态性质,其中的异宿轨是连接鞍焦点和鞍点的证明在通有条件下,该异宿环附近存在可数无穷多条1-同宿轨,和可数无穷多个1-周期轨的单参数族,同时对这些周期轨和同宿轨作了直观描述。
2.
The existence and relevant theorems of Homoclinic orbits for another generalized Lienard system are obtained.
本文得到了另一广义系统,的同宿轨的存在条件及其相关定理。
3.
This dissertation mainly concerns with the existence of homoclinic orbits and subharmonics for a class of p-Laplace difference equations by using the critical point theory.
全文共分四章,主要应用临界点理论研究一类p-Laplace差分方程的同宿轨与次调和解的存在性。
3)  homoclinic orbit
同宿轨道
1.
One of multiple modes of the governing equation was obtained using Galerkin s method to obtain a parametrically excited(caused by temperature) Duffing s oscillator,and the fixed points and homoclinic orbits .
用Galerkin方法将系统简化为参数激励和强迫激励耦合的单模态Duffing振子,得到了系统的不动点和同宿轨道。
2.
In consequence,the homoclinic orbit disappeared,i.
因此横截同宿轨道消失,即受控系统中的混沌运动被镇压。
3.
Based on it,the homoclinic orbits with different parameters at the equilibrium O and P~+ are searched.
选取一个含非线性负电容的三阶自治电路,对其状态方程所描述的向量场的特征空间几何结构进行分析与计算,利用在平衡点的实特征值和电路参数推导出电路状态空间的解析表达式及其有关的重要量,求出电路中存在的同宿轨道及同宿分岔产生的混沌,并给出模拟结果。
4)  Homoclinic orbits
同宿轨道
1.
Global attractor and homoclinic orbits for Ginzberg-Landau equations;
Ginzburg-Landau方程的整体吸引子和同宿轨
2.
Homoclinic Orbits for the Zakharov System and Hirota Equation;
Zakharov方程组与Hirota方程的同宿轨道(英文)
3.
In recent years there have been existence studies on the extensive of homoclinic orbits for nearly dissipative PDEs,which are closely related to chaos.
偏微分方程中与混沌行为密切联系的同宿轨道已被广泛研究,文章用孤子理论中的Darboux变换和Hirota双线性型两种不同方法,分别获得了导数非线性Schr dinger方程和Ginzburg-Landauyau方程同宿轨的解析式。
5)  positive homoclinic orbit
正同宿轨
1.
The existence of positive homoclinic orbits is obtained by the variational approach for a class of the second order differential equations-α(x)u+β(x)u2+γ(x)u3=0,where the coefficient functions α(x),β(x),γ(x) satisfy xα′(x)≥0,xβ′(x)≤0,xγ′(x)≤0 for all x∈R.
运用变分方法证明了一类二阶微分方程-α(x)u+β(x)u2+γ(x)u3=0,x∈R的正同宿轨存在性,其中系数函数α(x),β(x),γ(x)满足xα′(x)≥0,xβ′(x)≤0,xγ′(x)≤0对任意x∈R成立。
6)  double homoclinic orbit
双同宿轨
1.
The second section is concerned with the number of zeros of the Abelian integrals for a cubic Hamiltonian system with double homoclinic orbit under 2n + 1 .
第二章讨论了具有双同宿轨的三次Hamilton系统在一类2n+1次多项式扰动下的Abel积分零点个数。
补充资料:同苗员外宿荐福常师房(一作秋喜卢纶同宿寺
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全唐诗:卷292_37
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