So before applying Mather's theorem of connecting orbits to concrete Hamiltonian system, we have to check whether the set W〓 is empty or not, and which cohomology classes are C-equivalent. In present paper, by investigating the topological structure of action minimizing sets near a co-dimensional one torus which is preserved under generic perturbations and becomes hyperbolic in nearly integrable Hamiltonian system.

與傳統(tǒng)的Poincaré-Melnikov方法相比，我們方法明顯優(yōu)越之處在于人人操2018，一方面我們的方法不僅可以得到雙曲環(huán)面之間的異宿軌道HEZYO在线爆乳，而且當該環(huán)面附近的其它環(huán)面破裂時99免费强奸视频网站，可以得到不同Mather集之間的連接軌道，另一方面国产视频91拍拍阴口，我們把異宿軌的存在性的證明轉(zhuǎn)化為雙曲環(huán)面極小同宿軌的某種弱孤立性的證明三级坐爱网站，所需條件比Poincaré-Melnikov方法弱得多。

We study cuspidal loop bifurcation亚洲一区在线、 Homoclinic or double Homoclinic bifurcation被强奸的网站全集、 Hopf bifurcation and obtain the necessary conditions to generate limit cycles by using the coefficients of the expansion of the first Melnikov function.

利用一階Melnikov函數(shù)的展開式的系數(shù)研究了尖點環(huán)分支、同宿分支国产精品2区、雙同宿分支和Hopf分支十八禁禁禁禁污污网站，并給出了產(chǎn)生極限環(huán)的充分條件。

An existence theorem concerning denumerable 1-homoclinic orbits and countable families of 1-periodic orbits was given under a generic condition; and an intuitionistic de script ion about those orbits was also given.

證明在通有條件下在线观看亚洲精品国产AV，該異宿環(huán)附近存在可數(shù)無窮多條1-同宿軌三级片在线观看精品视频，和可數(shù)無窮多個1-周期軌的單參數(shù)族，同時對這些周期軌和同宿軌作了直觀描述无码中文AV波多野吉衣迅雷下载。

In Chapter 3, a certain polynomial Hamilton system with 3 degree is given. By elliptic integral formulas, the monotonicity of the periodic orbits of this system is verified.

在眾多文章中日韩三级片免费在线播放，討論次諧軌的分岔都需要一個條件，那就是在同宿軌附近的周期軌是單調(diào)的国产剧情在线一区，第三章給出了一個具體的三次平面Hamilton系統(tǒng)欧美性大片视频免费播放在线，利用橢圓積分公式驗證了這個系統(tǒng)的一對同宿軌附近的周期軌的周期是單調(diào)的，這包含了三種情況色哟哟·com，周期軌在右邊同宿軌內(nèi)部欧美一级A片欣赏久久，在左邊同宿軌內(nèi)部以及在整個同宿軌圈外部。

For the homoclinics taking on values in the unbounded domain, in order to apply the usual "Mountain Pass " theorem, A compact embedding theorem is proved.

為克服同宿解取值于無界域而缺乏自然緊性国产在线精品专区第1页，證明了一個緊嵌入定理亚洲乱亚洲乱妇10p，從而可以利用通常的山路引理與對稱山路引理獲得同宿解的存在性與多重性條件。

In the paper we consider a wide class of slow-fa.st second order systems and give sufficient conditions for the existence of a singular limit cycle related to a homoclinic orbit.

本文研究一類正二階快-慢系統(tǒng)中奇性同宿軌道和極限環(huán)免费高清黄网站视频在线，并且給出了此系統(tǒng)存在奇性同宿軌道和極限環(huán)的充分條件亚洲视频精选网站。

Melnikov method is employed to study the bifurcations and chaos of homoclinic and subharmonic orbits for two pendulum systems.

用Melnikov方法研究具有弱阻尼與參數(shù)激勵的單擺以及倒擺運動的同宿軌道分岔、次諧分岔和混沌現(xiàn)象国产亚洲综合无码一区二区91，得到了發(fā)生同宿軌道分岔18岁未进入黄片、次諧分岔和混沌的臨界參數(shù)，并將所得理論結(jié)果與倒擺運動的實驗結(jié)果進行了比較與討論黄色网站免费在线视频大全。

At first, we give the more precisely expression of the system in some sufficiently small neighborhood of the saddle point under some suitable transformation, and use the foundational solutions of the linear variational equation of the unperturbed system along the homoclinic or heteroclinic orbits as the demanded local coordinate system.

首先91精品国产91久久久久久最新，我們在鞍點的充分小鄰域內(nèi)給出系統(tǒng)在適當?shù)淖儞Q下的更加精確的表達形式，利用未擾系統(tǒng)沿同宿91超碰刺激偷拍，異宿環(huán)的線性變分方程的基本解組作為系統(tǒng)在同宿国产vA视频在线，異宿環(huán)的小管狀鄰域內(nèi)的新的局部坐標系。

In Chapter Ⅲ, the global stability and global attractivity of some planar autonomous systems are dealed with.

第二章考慮平面自治系統(tǒng)同宿軌族的一些定性性態(tài)，證明了系統(tǒng)至多存在一個最大橢圓扇形国产小电影免费观看，得到此系統(tǒng)的軌線趨于奇點及同宿軌族欧美老熟妇最近裸体、閉軌族、雙曲扇形和橢圓扇形的存在性與不存在性的充分或充要條件自拍日韩欧美变态在线观看。

The presence of homoclinic tangencies and homoclinic intersection makes it very difficult, sometimes even impossible, to estimate the shadowing trajectory of the non-hyperbolic nonlinear system.

摘要同宿切面和同宿截面的存在使得非雙曲線型非線性系統(tǒng)重影軌跡的估計變得十分困難18岁禁播网站。