In the first part,we use adjoint operator method and matrixrepresentation method to compute normal forms of higher order for nonlinear dynamicalsystems with Z2—symmetry and Z2—asymmetry.

在第二部分里日本AAA片视频，利用多尺度法精品无码人妻遭多人侵犯Av、規(guī)范形理論、普適開(kāi)折理論久操美女在线视频、Melnikov方法和Petrov方法分別研究了參數(shù)激勵(lì)作用下非線性振子精品欧美哟哟、參數(shù)激勵(lì)與強(qiáng)迫激勵(lì)聯(lián)合作用下非線性振子的局部分岔、余維2退化分岔性刺激的欧美三级视频中文第一页、余維3退化分岔和全局分岔久热精品在线视频。

Algorithm application of neural networks.Ⅲ Implementation of neuro-computers. The main contribution of the dissertation can be summarized as follows: 1 Hopf bifurcation of three kind of neural networks are discussed in detail, including type of discrete time delay, type of time delay with weak kernel and strong kernel as well as the proof of existence of bifurcation. Other problems such as asymptotic stability of bifurcation periodic solution, algorithm of determining the bifurcation direction, asymptotic stability and style of periodic solution are also studied. The average time delay is chosen as the bifurcation parameter, phenomena pertinent to system states of the continuous time delay network with strong kernel evolving from stable to oscillating, then back to stable again are observed.

論文的主要?jiǎng)?chuàng)新之處可以歸納如下： 1）針對(duì)目前國(guó)內(nèi)外對(duì)神經(jīng)網(wǎng)絡(luò)的分岔研究較少的情況，論文中詳細(xì)討論了帶離散時(shí)延神經(jīng)網(wǎng)絡(luò)国内a片在线视频、帶弱核的連續(xù)時(shí)延神經(jīng)網(wǎng)絡(luò)国产原创福利、帶連續(xù)分布時(shí)延且具有強(qiáng)核的神經(jīng)網(wǎng)絡(luò)的Hopf分岔現(xiàn)象，從理論上證明了Hopf分岔的存在性亚洲美女操逼视频一区二区，并研究了分岔周期解的漸近穩(wěn)定性欧美又色又爽又黄的视频，得到了確定周期解的漸近穩(wěn)定性、分岔方向国产黄色网站马上看、周期解的漸近形式的算法看黄一级a片网站；用平均時(shí)延作為分岔參數(shù)，發(fā)現(xiàn)帶強(qiáng)核的連續(xù)時(shí)延神經(jīng)網(wǎng)絡(luò)中存在著系統(tǒng)的狀態(tài)由穩(wěn)定變化到振蕩現(xiàn)象99成年小黄片，當(dāng)繼續(xù)增加平均時(shí)延參數(shù)時(shí)欧美老妇肥婆毛多水多性强，又從振蕩變?yōu)榉€(wěn)定這一特殊的動(dòng)力學(xué)現(xiàn)象。

Moreover, in the parameter plane determined by some two parameters,we discuss codimension two bifurcations caused by the intersections of two bifurcating curves.

同時(shí)性交黄片国产，在兩個(gè)參數(shù)確定的半?yún)?shù)平面上啦啦啦资源在线完整免费高清观看3，我們通過(guò)分岔(來(lái)源：46e646ABC論文網(wǎng)www.abclunwen.com)曲線的交點(diǎn)討論了余維2分岔的存在性，即等變Pitchfork-Hopf分岔和Hopf-Hopf分岔免费播放人成视频网站。

We use the method of multiple scales to study local bifurcations of this system and obtainbifurcating response equation,transition sets and eight different diagrams of bifurcatingresponse curves.We find that some singular points in bifurcation set are codimension twodegenerate.

首先利用多尺度法研究了這個(gè)系統(tǒng)的局部分岔問(wèn)題人人操在线精品，得到了分岔響應(yīng)方程、局部分岔集和8種分岔響應(yīng)曲線色色色色色色色色色播播，并且發(fā)現(xiàn)在分岔集上有一些奇點(diǎn)是余維2退化的亚洲福利小视频。

The grazing bifurcation point is found in terms of the conditions for the existence of grazing orbit.The bifurcation diagrams are gained through previous piecewise smooth map and numerical calculation,they are similar structurally.

利用擦邊分岔條件找到了此系統(tǒng)的擦邊分岔點(diǎn)，利用推導(dǎo)的擦邊分岔的分段映射和直接數(shù)值仿真獲得不連續(xù)分岔圖全网免费在线观看一级片，兩者得到的分岔圖在結(jié)構(gòu)上是類似的免费观看的美女视频网站。

A class of fast-scale bifurcations appearing around the maximum value of the input voltage is discovered for the first time by experiment. Then the influence of the fast-scale bifurcations on the performance of the PFC converters is discussed. Whether the fast-scale bifurcations will appear and how wide the bifurcation region depend on the characteristics of the current loop output. Therefore, the main factors that affect the current loop output are analyzed, including the current loop parameters, inductance, and root-mean-square value of the input voltage.

通過(guò)實(shí)驗(yàn)，該文首次發(fā)現(xiàn)了一類在輸入電壓最大值附近發(fā)生的快時(shí)標(biāo)分岔殴美日韩无码人妻专区；詳細(xì)討論了快時(shí)標(biāo)分岔對(duì)PFC變換器性能的影響人人看的三级黄色网站；由于電流環(huán)輸出的特點(diǎn)決定了變換器是否會(huì)出現(xiàn)快時(shí)標(biāo)分岔以及分岔區(qū)域的大小精品视频三级片，該文分析了影響電流環(huán)輸出的主要因素，包括電流環(huán)參數(shù)黄色视频在线观看aaaa级、電感值和輸入電壓有效值国产日韩欧美主播。

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(lì)的單擺以及倒擺運(yùn)動(dòng)的同宿軌道分岔、次諧分岔和混沌現(xiàn)象欧美黄色一级久久片，得到了發(fā)生同宿軌道分岔、次諧分岔和混沌的臨界參數(shù)日韩三级中文字幕，并將所得理論結(jié)果與倒擺運(yùn)動(dòng)的實(shí)驗(yàn)結(jié)果進(jìn)行了比較與討論亚洲欧洲性爱。

The qualitative analysis and numerical results show that a positive period-1 solution bifurcates from the semi-trivial periodic solution through a fold bifurcation, a positive period-2 so...

定性分析和數(shù)學(xué)模擬表明，半平凡周期解通過(guò)fold分岔分岔出正周期1解国产精品久久久久精品三级一区，正周期1解通過(guò)flip分岔分岔出正周期2解在线看一级片视频软件，再通過(guò)一系列flip分岔通向混沌。

The characteristics of Hopf bifurcation from the origin, including the existence condition, the direction as well as the stability of bifurcating periodic solutions are discussed in detail, which can be demonstrated by the numerical simulations.

討論了快慢兩時(shí)間尺度下超混沌Lorenz系統(tǒng)原點(diǎn)的穩(wěn)定性問(wèn)題www熟女，分析了原點(diǎn)的Hopf分岔丝袜美女人人摸人人操，包括Hopf分岔的存在性，分岔方向以及分岔周期解的穩(wěn)定性等問(wèn)題免费一级无码婬片AA片高潮喷水，并用數(shù)值例子對(duì)所得到的結(jié)果加以驗(yàn)證免费观看黄色视频。

In Chapter 3, problems of cavitated bifurcation for a solid sphere composed of imperfect incompressible hyper-elastic materials, subjected to a surface tensile dead load, are examined.

證明了空穴分岔方程的平凡解支上存在唯一的分岔點(diǎn)；給出了左分岔和右分岔的判別條件免费在线看欧美三级片，并指出了向左分岔的空穴分岔解還會(huì)發(fā)生二次轉(zhuǎn)向點(diǎn)分岔偷拍偷窥网。

bifurcated shock：分岔激波

biaxial stre 雙軸向應(yīng)力 | bifurcated shock 分岔激波 | bifurcation 分支

bifurcation theory：歧變理論= 分岔理論

bifurcation 歧變= 分岔 | bifurcation theory 歧變理論= 分岔理論 | big bang 大霹靂核合成= 大爆炸

Hopf bifurcation：霍普夫分岔

control parameter 控制參量 | Hopf bifurcation 霍普夫分岔 | inverse period-doubling bifurcation 倒倍周期分岔

Hopf bifurcation：霍普分岐= 霍普夫分岔

Hooke's law 虎克定律 =胡克定律 | Hopf bifurcation 霍普分岐= 霍普夫分岔 | hopping conductivity 跳躍傳導(dǎo) =跳躍電導(dǎo)性

bifurcation buoy：分岔點(diǎn)浮標(biāo)

分岔 bifurcation | 分岔點(diǎn)浮標(biāo) bifurcation buoy | 小灣;帶繩[索]套{俗稱琵琶頭};繩耳;回頭索 bight

pitchfork bifurcation：叉式分岔

余維[數(shù)]co-dimension | 叉式分岔pitchfork bifurcation | 鞍結(jié)分岔saddle-node bifurcation

pitchfork bifurcation：音叉分岔

分支方向:bifurcation direction | 音叉分岔:pitchfork bifurcation | 次諧波分支:subharmonic bifurcation.

pitchfork bifurcation：樹(shù)枝分岔

奇異性分析:bifurcation | 樹(shù)枝分岔:pitchfork bifurcation | 約束分岔:constrained bifurcation

Two roads diverged：(分岔)in a yellow wood, 黃色的樹(shù)林里分出兩條路

Robert Frost 羅伯特.弗洛斯特 | Two roads diverged (分岔)in a yellow wood, 黃色的樹(shù)林里分出兩條路, | And sorry I could not travel both . 可惜我不能同時(shí)去涉足 .

cavitated bifurcation：空穴分岔

分岔分析法:bifurcation | 空穴分岔:cavitated bifurcation | 分岔理論:bifurcation theory