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，利用多尺度法、規(guī)范形理論、普適開折理論αAα网站、Melnikov方法和Petrov方法分別研究了參數(shù)激勵作用下非線性振子、參數(shù)激勵與強(qiáng)迫激勵聯(lián)合作用下非線性振子的局部分岔www.aaa.com欧美、余維2退化分岔午夜理论片插洞mn、余維3退化分岔和全局分岔。

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.

論文的主要創(chuàng)新之處可以歸納如下： 1）針對目前國內(nèi)外對神經(jīng)網(wǎng)絡(luò)的分岔研究較少的情況日韩一区二区三区无码乱码，論文中詳細(xì)討論了帶離散時延神經(jīng)網(wǎng)絡(luò)、帶弱核的連續(xù)時延神經(jīng)網(wǎng)絡(luò)无码天堂一区二区三区、帶連續(xù)分布時延且具有強(qiáng)核的神經(jīng)網(wǎng)絡(luò)的Hopf分岔現(xiàn)象激情偷乱人伦视频在线观看免费，從理論上證明了Hopf分岔的存在性，并研究了分岔周期解的漸近穩(wěn)定性whsanxi.com，得到了確定周期解的漸近穩(wěn)定性欧美a级性爱影院、分岔方向、周期解的漸近形式的算法日韩免费A∨片免费网站；用平均時延作為分岔參數(shù)在线视频se，發(fā)現(xiàn)帶強(qiáng)核的連續(xù)時延神經(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，當(dāng)繼續(xù)增加平均時延參數(shù)時欧美区一区二区，又從振蕩變?yōu)榉€(wěn)定這一特殊的動力學(xué)現(xiàn)象2020国产一区。

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，在兩個參數(shù)確定的半?yún)?shù)平面上视频一区欧美性爱，我們通過分岔(來源：46e646ABC論文網(wǎng)www.abclunwen.com)曲線的交點(diǎn)討論了余維2分岔的存在性日韩欧美日逼视频，即等變Pitchfork-Hopf分岔和Hopf-Hopf分岔。

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系統(tǒng)的局部分岔問題，得到了分岔響應(yīng)方程95视频在线观看国产免费、局部分岔集和8種分岔響應(yīng)曲線免费看黄色视頻，并且發(fā)現(xiàn)在分岔集上有一些奇點(diǎn)是余維2退化的。

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)欧美三级日韩精选，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AⅤ资源网影音先锋，兩者得到的分岔圖在結(jié)構(gòu)上是類似的。

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.

通過實(shí)驗(yàn)亚洲黄网站免费，該文首次發(fā)現(xiàn)了一類在輸入電壓最大值附近發(fā)生的快時標(biāo)分岔国产精品国产精品国产精品；詳細(xì)討論了快時標(biāo)分岔對PFC變換器性能的影響；由于電流環(huán)輸出的特點(diǎn)決定了變換器是否會出現(xiàn)快時標(biāo)分岔以及分岔區(qū)域的大小国产亚洲欧美视频，該文分析了影響電流環(huán)輸出的主要因素www.hp黄片免费A片，包括電流環(huán)參數(shù)、電感值和輸入電壓有效值亚洲欧美日韩本在线视频。

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(yùn)動的同宿軌道分岔久久综合视频永久、次諧分岔和混沌現(xiàn)象，得到了發(fā)生同宿軌道分岔久久久三级、次諧分岔和混沌的臨界參數(shù)一级色晴A片免费，并將所得理論結(jié)果與倒擺運(yùn)動的實(shí)驗(yàn)結(jié)果進(jìn)行了比較與討論。

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)模擬表明美女和男人抽插到高潮网站，半平凡周期解通過fold分岔分岔出正周期1解能免费看av的网站，正周期1解通過flip分岔分岔出正周期2解，再通過一系列flip分岔通向混沌女人18毛片A毛片免费。

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.

討論了快慢兩時間尺度下超混沌Lorenz系統(tǒng)原點(diǎn)的穩(wěn)定性問題国产精品性爱视频网，分析了原點(diǎn)的Hopf分岔亚洲国产综合精品一区青草，包括Hopf分岔的存在性，分岔方向以及分岔周期解的穩(wěn)定性等問題嫩草影院黄妓女，并用數(shù)值例子對所得到的結(jié)果加以驗(yàn)證色色人人。

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久久国产精油按摩，并指出了向左分岔的空穴分岔解還會發(fā)生二次轉(zhuǎn)向點(diǎn)分岔亚洲鸥美国产毛片。

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

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

pick on someone：找...的岔, 對...嘮叨指責(zé); 挑選; 選中

pick on 找...的岔, 對...嘮叨指責(zé); 挑選; 選中 | pick on someone 找...的岔, 對...嘮叨指責(zé); 挑選; 選中 | pick one's teeth 剔牙

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

sawn-off spotted-deer antler：梅花兩岔鋸茸,梅花三岔鋸茸

sawn timber 鋸材,鋸材=>用材 | sawn-off spotted-deer antler 梅花兩岔鋸茸,梅花三岔鋸茸 | sawn-off spotted-deer antler with blood 帶血花鋸茸

vectored interrupts implementation：向量岔斷實(shí)施

vectored interrupt 向量岔斷 | vectored interrupts implementation 向量岔斷實(shí)施 | vectored priority interrupts 向量優(yōu)先序岔斷

cavitated bifurcation：空穴分岔

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

run-over type frog：乘越岔心

7440 run-over type crossing 乘越轍岔(岔心) | 7441 run-over type frog 乘越岔心 | 7442 run-through switch 擠岔

run-over type crossing：乘越轍岔(岔心)

7439 running while braking 減速運(yùn)行 | 7440 run-over type crossing 乘越轍岔(岔心) | 7441 run-over type frog 乘越岔心