標(biāo)題: Titlebook: Dynamical Systems V; Bifurcation Theory a V. I. Arnol’d Book 1994 Springer-Verlag Berlin Heidelberg 1994 Bifurcation Theory.Bifurkationsthe [打印本頁] 作者: EVOKE 時間: 2025-3-21 19:49
書目名稱Dynamical Systems V影響因子(影響力)
書目名稱Dynamical Systems V影響因子(影響力)學(xué)科排名
書目名稱Dynamical Systems V網(wǎng)絡(luò)公開度
書目名稱Dynamical Systems V網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Dynamical Systems V被引頻次
書目名稱Dynamical Systems V被引頻次學(xué)科排名
書目名稱Dynamical Systems V年度引用
書目名稱Dynamical Systems V年度引用學(xué)科排名
書目名稱Dynamical Systems V讀者反饋
書目名稱Dynamical Systems V讀者反饋學(xué)科排名
作者: GRUEL 時間: 2025-3-21 21:04 作者: 嚴(yán)厲批評 時間: 2025-3-22 02:17
The Theory of Catastrophes Before Poincaréed by Huygens.) Thus, Huygens essentially discovered the stability of cusps on caustics and wave fronts. Nowadays these singularities are connected with the pleats of the corresponding smooth mappings, and they belong to the most important applications of catostrope theory. Fig. 7 was discussed by Cayley (1868b).作者: 極端的正確性 時間: 2025-3-22 08:23
The Theory of Bifurcations in the Work of Poincaréscover of the normal form of a symplectic structure) created the general method of normal forms, which leads to the classification of catastrophes if one applies it to functions instead of to differential equations.作者: neolith 時間: 2025-3-22 12:48 作者: LOPE 時間: 2025-3-22 15:31 作者: LOPE 時間: 2025-3-22 20:26 作者: Custodian 時間: 2025-3-22 22:52 作者: 媽媽不開心 時間: 2025-3-23 05:11 作者: 輕觸 時間: 2025-3-23 07:32
Physicists’ Treatment of Catastrophes Before Catastrophe Theoryt calculations. (1974) in an article “Nobel prizes for catastrophes” points out many examples of acknowledged physical achievements, whose authors, independently of one another, used ideas formalized later in singularity theory.作者: Pamphlet 時間: 2025-3-23 12:47
ding non-rigorous applications.Includes supplementary materiBifurcation theory and catastrophe theory are two well-known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with作者: 怎樣才咆哮 時間: 2025-3-23 14:43
Verst?ndlichkeit ist nur der Anfang?. + 1 so that within each class an object’s properties that are of interest to us do not change. Then all objects in typical, no more than .-parameter families, belong to our classes: the remaining ones may be avoided by a small perturbation of the family.作者: exercise 時間: 2025-3-23 19:15 作者: 河流 時間: 2025-3-24 01:20
Book 1994 on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Understanding the bifurcations of th作者: 細絲 時間: 2025-3-24 03:21 作者: regale 時間: 2025-3-24 08:27 作者: deriver 時間: 2025-3-24 13:17 作者: arboretum 時間: 2025-3-24 18:54
Woher nehmen und nicht stehlen?en encountered where the parameters slowly evolve over time. In this situation new phenomena may arise. For example, a stable equilibrium may, as a parameter changes, disappear or become unstable; and then the state of the system must change rapidly (compared with the rate of change of the parameter) to a new state of motion (an attractor).作者: Customary 時間: 2025-3-24 19:39
Verst?ndlichkeit ist nur der Anfangy. This term, replacing the previously used terms ., and ., gained wide popularity after Zeeman (1976) suggested the use of the name . to unite singularity theory, bifurcation theory and their applications.作者: 過分 時間: 2025-3-25 01:09 作者: 笨重 時間: 2025-3-25 04:19 作者: PLIC 時間: 2025-3-25 10:15
Basic Conceptsy. This term, replacing the previously used terms ., and ., gained wide popularity after Zeeman (1976) suggested the use of the name . to unite singularity theory, bifurcation theory and their applications.作者: 尊嚴(yán) 時間: 2025-3-25 12:19 作者: 品牌 時間: 2025-3-25 18:41
978-3-540-65379-0Springer-Verlag Berlin Heidelberg 1994作者: 控制 時間: 2025-3-25 22:43
,Die schlanke und wandlungsf?hige Fabrik,parameters are changed continuously and smoothly. Thus, upon loss of stability, a limit cycle may arise from a singular point, and the loss of stability by a limit cycle may give rise to chaos. Such changes are termed bifurcations.作者: 苦笑 時間: 2025-3-26 03:28
,Die schlanke und wandlungsf?hige Fabrik,. Therefore the basic objects of study in this chapter are the bifurcations of germs of diffeomorphisms at a fixed point. Local families of germs of diffeomorphisms, their equivalence and weak equivalence, and induced and versal deformations of such germs are defined just as for germs of vector fiel作者: COST 時間: 2025-3-26 07:50
Woher nehmen und nicht stehlen?en encountered where the parameters slowly evolve over time. In this situation new phenomena may arise. For example, a stable equilibrium may, as a parameter changes, disappear or become unstable; and then the state of the system must change rapidly (compared with the rate of change of the parameter作者: MAIZE 時間: 2025-3-26 12:03
Verst?ndlichkeit ist nur der Anfangy. This term, replacing the previously used terms ., and ., gained wide popularity after Zeeman (1976) suggested the use of the name . to unite singularity theory, bifurcation theory and their applications.作者: interrupt 時間: 2025-3-26 13:19 作者: Parabola 時間: 2025-3-26 18:10 作者: 隱士 時間: 2025-3-26 22:08
Herz, Kreislauf und H?modynamik them”, said Poincaré (., Part 2, Chapter V (Analysis and physics), p. 222 (1905b)). In 1931, following this prescription, A.A. Andronov (1933) came out with a vast program (also set forth in the preface to Andronov and Khajkin, 1937) which differs from the contemporary program of catastrophe theori作者: –DOX 時間: 2025-3-27 04:48 作者: 攀登 時間: 2025-3-27 05:52
Verst?ndlichkeit ist nur der Anfangnt the entire space of objects studied as a finite union of submanifolds of codimensions not greater than . (called .) and a remainder of codimension ?. + 1 so that within each class an object’s properties that are of interest to us do not change. Then all objects in typical, no more than .-paramete作者: 責(zé)難 時間: 2025-3-27 09:36 作者: 小樣他閑聊 時間: 2025-3-27 17:26
http://image.papertrans.cn/e/image/283870.jpg作者: 彩色的蠟筆 時間: 2025-3-27 21:23
ius" and a "maniac". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, previously published as Volume 5 of the Encyclopaedia, have given a masterly exposition of these two theories, with penetrating insight.978-3-540-65379-0978-3-642-57884-7作者: EPT 時間: 2025-3-28 01:03 作者: 縮減了 時間: 2025-3-28 05:29
Bifurcations of Equilibriaparameters are changed continuously and smoothly. Thus, upon loss of stability, a limit cycle may arise from a singular point, and the loss of stability by a limit cycle may give rise to chaos. Such changes are termed bifurcations.作者: 宏偉 時間: 2025-3-28 09:12
Bifurcations of Limit Cycles. Therefore the basic objects of study in this chapter are the bifurcations of germs of diffeomorphisms at a fixed point. Local families of germs of diffeomorphisms, their equivalence and weak equivalence, and induced and versal deformations of such germs are defined just as for germs of vector fiel作者: 大范圍流行 時間: 2025-3-28 10:54 作者: 亞麻制品 時間: 2025-3-28 17:14
Basic Conceptsy. This term, replacing the previously used terms ., and ., gained wide popularity after Zeeman (1976) suggested the use of the name . to unite singularity theory, bifurcation theory and their applications.作者: AVOW 時間: 2025-3-28 21:48 作者: Visual-Acuity 時間: 2025-3-28 22:57
The Theory of Bifurcations in the Work of Poincarér fields on the plane (saddle, node, focus) is the prototype for many classifications in catastrophe theory. The theory of bifurcations of periodic solutions, also created by Poincaré, anticipated the general theory of bifurcations, not only with respect to results, but also (and particularly) with 作者: 有幫助 時間: 2025-3-29 05:36 作者: Keratin 時間: 2025-3-29 08:08 作者: Ancestor 時間: 2025-3-29 12:38
Classifications of Singularities and Catastrophesnt the entire space of objects studied as a finite union of submanifolds of codimensions not greater than . (called .) and a remainder of codimension ?. + 1 so that within each class an object’s properties that are of interest to us do not change. Then all objects in typical, no more than .-paramete作者: 注入 時間: 2025-3-29 16:35
