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.

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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，論文中詳細(xì)討論了帶離散時(shí)延神經(jīng)網(wǎng)絡(luò)国产精品一区白拍免费看、帶弱核的連續(xù)時(shí)延神經(jīng)網(wǎng)絡(luò)在线欧美一级片、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分岔的存在性国产原创同事在线视频，并研究了分岔周期解的漸近穩(wěn)定性日韩一级黄片一区二区，得到了確定周期解的漸近穩(wěn)定性、分岔方向黄网页观看、周期解的漸近形式的算法在线国内在线播放av；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)象高清一级电影，當(dāng)繼續(xù)增加平均時(shí)延參數(shù)時(shí)老熟妇乱子交视频，又從振蕩變?yōu)榉€(wěn)定這一特殊的動力學(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)在线亚洲性爱，在兩個(gè)參數(shù)確定的半?yún)?shù)平面上激情综合五月综合激情，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，即等變Pitchfork-Hopf分岔和Hopf-Hopf分岔久久精品这里只有精品。

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.

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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)分岔圖国产又黄又爽又大又粗，兩者得到的分岔圖在結(jié)構(gòu)上是類似的亚洲午夜精品高潮影院。

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)，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a黄色欧美片在线播放；詳細(xì)討論了快時(shí)標(biāo)分岔對PFC變換器性能的影響久久久精品一二三区；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(shí)標(biāo)分岔以及分岔區(qū)域的大小，該文分析了影響電流環(huán)輸出的主要因素搜A级毛片，包括電流環(huán)參數(shù)18岁禁止黄片、電感值和輸入電壓有效值。

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

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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fold分岔分岔出正周期1解看黄色AAAB级视频，正周期1解通過flip分岔分岔出正周期2解日韩欧美一级A片在线观看网址，再通過一系列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.

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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.

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