In chapter two, we study the problems of bifurcation and stability of homo-clinic loop with higher dimensions.

第二章我們研究高維系統(tǒng)同宿環(huán)的分支與穩(wěn)定性問(wèn)題自拍高潮日韩在线视频播放。

When and we show that system (1) has the cusp bifurcation of codimension 2(ie,Bogdanov-Takens bifurcation); when ,we show that this system has the cusp bifurcation with codimension at least S.

而且我們選擇了系統(tǒng)的原參數(shù)中的二個(gè)作為分支參數(shù)，可以使系統(tǒng)(1)進(jìn)行Bogdanov-Takens余維2普適開(kāi)折日韩在线观，從而證明系統(tǒng)(1)同宿軌的存在性一级香蕉电影。

Double homoclinic loops; Resonant eigenvalues; Nontwist; Periodic orbit; Bifurcation; Periodic solution; Predator-prey system; Fixed point theorem; Coincidence degree; Delay; Functional response function

基礎(chǔ)科學(xué)，數(shù)學(xué)欧美一级A片视频在线播放，動(dòng)力系統(tǒng)理論雙同宿環(huán)免费观看的午夜成年网站；共振特征根；非扭曲午夜国产性爱影视在线超黄超污A片；周期軌亚洲日韩在线综合一区视频；分支；周期解欧美性爱一级免费；捕食者-食餌系統(tǒng)日韩老司机深夜无码影院视频；不動(dòng)點(diǎn)定理；重合度色就是色欧美黄片；時(shí)滯永久黄网色视频免费观看；功能反應(yīng)函數(shù)

Based on the equilibrium equation of an arch element the cubic nonlinear dynamic model with second order is established and the nonlinear differential dynamic system without constant term is obtained through a transfer process of T=U+b. Hence three fixed points and the homoclinic orbits are found. The critical condition of the chaotic vibration of the elastic arch is given by using the method of Melnikov function. The numerical results of the stationary and chaotic motion are given and discussed.

首先利用拱的單元平衡方程建立了拱的二階三次非線性動(dòng)力學(xué)模型；然后通過(guò)變換使方程轉(zhuǎn)化為不含常數(shù)項(xiàng)的非線性微分動(dòng)力系統(tǒng),国产精品第一页，并由此得到無(wú)擾動(dòng)系統(tǒng)的3個(gè)不動(dòng)點(diǎn)與同宿軌道免费A级毛片无码A∨中文；再用Melnikov函數(shù)法給出了發(fā)生混沌的臨界條件；最后給出了該系統(tǒng)出現(xiàn)定常運(yùn)動(dòng)和混沌運(yùn)動(dòng)的數(shù)值結(jié)果97精品视频在线观看。

In chapter 1,we find out a kind of two-parameter invariant cubic curve family of a certainquadratic system which is important one for studying the distribution of limit cycles.

第二章討論一般的二次系統(tǒng)具有三次代數(shù)曲線同宿環(huán)的充要條件免费看日黄片，針對(duì)問(wèn)題，我們采用了具有雙曲鞍點(diǎn)的二次系統(tǒng)的標(biāo)準(zhǔn)形国产精品一区馆在线，利用仿射坐標(biāo)變換黄色网站免费x，我們把系統(tǒng)和曲線同時(shí)簡(jiǎn)化成年人视频黄色网站，使問(wèn)題得到了完滿解決。

In Chapter 2, an autonomous perturbation of a class of planar Hamiltonian systems with homoclinic orbits is discussed.

第二章討論了一類含有同宿軌的平面Hamilton系統(tǒng)的自治擾動(dòng)在线观看欧美一级片。

By measuring the distance between the stable manifold and the unstable manifold of the hyperbolic fixed point in the Poincare map, it is shown whether the system has transversaUy homoclinicpoints and chaos in the sense of Smale horseshoes.

Melnikov方法是用來(lái)判定一個(gè)系統(tǒng)是否存在Smale馬蹄意義下的混沌的一種有效的數(shù)學(xué)方法免费看黄网站在线观看免费最新，它通過(guò)測(cè)量Poincare映射的雙曲不動(dòng)點(diǎn)的穩(wěn)定流形與不穩(wěn)定流形之間的距離來(lái)判定系統(tǒng)橫截同宿點(diǎn)的存在性及Smale馬蹄意義下的混沌的存在性。

One important feature ofHamiltonian systems is that it has energy(its energic function is Hamiltonian func-tion),then,its solutions on 2-dimensional plane are some contour lines,the points onstable manifold emanating from hyperbolic equilibrium point have the same energyas that on unstable manifold,then,one can guess that they form a closed curve,i.e.homoclinic orbits under certain conditions,and the contour lines in the innerpart of homoclinic orbit are periodic orbits.

哈氏系統(tǒng)的一個(gè)重要特征是它有能量存在(以Hamiltonian函數(shù)作為它的能量)国产精品不卡无码AV在线播放，那么在二維平面上在线观看美女一区，它的解表現(xiàn)為一些等值線，從雙曲平衡點(diǎn)發(fā)出的穩(wěn)定流形和不穩(wěn)定流形上的點(diǎn)具有相同的能量亚洲自偷自偷图片在线，那么可以猜測(cè)国产公开免费视频，在一定條件下它們構(gòu)成一條封閉的曲線，即同宿軌久久婷婷五月综合品精，而且其內(nèi)部的等值線都是周期軌道免费性爱黄色视频。

Meantime, the inexistence of the large 2-hom loop and large 2-per orbit are also demonstrated.

同時(shí)，我們還證明了大2-同宿環(huán)和大2-周期軌的不存在性日本又硬又爽又黄又粗的视频。

In chapter 3,we dig out two families of invariant quartic curves of a quadratic system.

第五章討論向量場(chǎng)具有對(duì)稱中心的二次系統(tǒng)操x网站，利用系統(tǒng)的不變雙曲線及不變四次曲線，我們確定了一個(gè)對(duì)應(yīng)極限環(huán)（1.1）分布的二維參數(shù)區(qū)域2015超碰，其邊界的構(gòu)成為如下幾種常見(jiàn)的極限環(huán)分枝：霍夫分析成年该看的免费视频，龐加萊分枝，同宿分枝和異宿分枝白丝袜免费又黄又爽视频。