標題: Titlebook: Dynamics and Bifurcations; Jack K. Hale,Hüseyin Ko?ak Textbook 1991 Springer-Verlag New York, Inc. 1991 Eigenvalue.bifurcation.difference [打印本頁] 作者: 炸彈 時間: 2025-3-21 17:51
書目名稱Dynamics and Bifurcations影響因子(影響力)
書目名稱Dynamics and Bifurcations影響因子(影響力)學(xué)科排名
書目名稱Dynamics and Bifurcations網(wǎng)絡(luò)公開度
書目名稱Dynamics and Bifurcations網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Dynamics and Bifurcations被引頻次
書目名稱Dynamics and Bifurcations被引頻次學(xué)科排名
書目名稱Dynamics and Bifurcations年度引用
書目名稱Dynamics and Bifurcations年度引用學(xué)科排名
書目名稱Dynamics and Bifurcations讀者反饋
書目名稱Dynamics and Bifurcations讀者反饋學(xué)科排名
作者: 欲望小妹 時間: 2025-3-21 22:00
Elementary Bifurcationsation depending on variable parameters. We first illustrate certain key ideas by way of specific examples. Then we generalize these observations and analyze local bifurcations of an arbitrary scalar differential equation. Since the Implicit Function Theorem is the main ingredient used in these gener作者: 子女 時間: 2025-3-22 01:48
Scalar Mapsof applications. Despite the power of numerical approximation schemes as “experimental” tools and their case of implementation on the computer, there is always the difficulty of deciding on the accuracy of computations. Even in the case of a scalar differential equation, one can he confronted with r作者: Cleave 時間: 2025-3-22 05:31 作者: lavish 時間: 2025-3-22 10:46
Bifurcations of Periodic Equations of Poincaré maps, the study of local bifurcations of periodic solutions is equivalent to the study of bifurcations of fixed points of monotone maps given in Section 3.3. Next, we develop selected ideas from the “method of averaging” and show how to compute higher- order derivatives of the Poincaré 作者: Contort 時間: 2025-3-22 15:52
On Tori and Circlesin ., then it gives rise to a differential equation on a torus (the surface of a doughnut). The dynamics of such equations are explored most conveniently in terms of their Poincaré maps, which happen to be maps on a circle. Accordingly, in the spirit of Chapter 3, we include a brief discussion of su作者: Contort 時間: 2025-3-22 20:40 作者: heart-murmur 時間: 2025-3-22 23:08 作者: Gyrate 時間: 2025-3-23 01:44
Near Equilibriar foregoing discussions that the stability type of an equilibrium point of a linear system is determined by the eigenvalues of its coefficient matrix. Analogous to the results in Section 1.3, we prove several theorems to show that, under certain conditions, the stability type of an equilibrium point作者: 冒煙 時間: 2025-3-23 08:10
In the Presence of a Zero Eigenvaluevector field has one zero and one negative eigenvalue. Our investigation culminates in the observation that the local dynamics and bifurcations of such a planar system are determined from those of an appropriate scalar differential equation. Analysis of the resulting scalar equation can, of course, 作者: 菊花 時間: 2025-3-23 11:07
In the Presence of Purely Imaginary Eigenvaluese the linearized vector field has purely imaginary eigenvalues. Using polar coordinates, we capture the dynamics of such a system in the neighborhood of the equilibrium point in terms of the dynamics of an appropriate nonautonomous scalar differentia] equation with periodic coefficients. For the ana作者: 租約 時間: 2025-3-23 14:11 作者: 合同 時間: 2025-3-23 21:48
All Planar Things Consideredé-Andronov-Hopf, and breaking homoclinic loops and saddle connections. It is natural to ponder when, if ever, we will stop adding to the list and produce a complete catalog of all possible bifurcations. In this chapter, we indeed provide such a list for “generic” bifurcations of planar vector fields作者: AND 時間: 2025-3-24 01:16 作者: Mingle 時間: 2025-3-24 06:24
Planar Mapsd bifurcations of planar maps. Our motives for delving into planar maps arc akin to the ones for studying scalar maps; namely, as numerical approximations of solutions of differential equations or as Poincaré maps. We begin our exposition with an introduction to the dynamics of linear planar maps. T作者: 發(fā)起 時間: 2025-3-24 09:03 作者: tolerance 時間: 2025-3-24 12:15
https://doi.org/10.1007/978-1-4612-4426-4Eigenvalue; bifurcation; difference equation; dynamical systems; stability作者: Spinous-Process 時間: 2025-3-24 15:18 作者: glisten 時間: 2025-3-24 22:50
Decline of the Yangtze River Civilization from technical complications, the setting is one-dimensional—the scalar autonomous differential equations. Despite their simplicity, these concepts are central to our subject and reappear in various incarnations throughout the book. Following a collection of examples, we first state a theorem on th作者: 分開 時間: 2025-3-25 00:49 作者: Semblance 時間: 2025-3-25 03:32
Evolution of Quantitative Easingof applications. Despite the power of numerical approximation schemes as “experimental” tools and their case of implementation on the computer, there is always the difficulty of deciding on the accuracy of computations. Even in the case of a scalar differential equation, one can he confronted with r作者: 未開化 時間: 2025-3-25 10:19 作者: 我不死扛 時間: 2025-3-25 13:31 作者: Truculent 時間: 2025-3-25 16:31 作者: Predigest 時間: 2025-3-25 22:36
Carlo Altomonte,Lorenzo Saggioratose in applications, we develop some necessary generalizations of certain geometric ideas which are reminiscent of the ones explored earlier for scalar equations. Because the simplest examples of planar systems are constructed by bundling a pair of scalar equations— product systems—we present a discu作者: ABHOR 時間: 2025-3-26 00:40
Evolution of Quantitative Easingis given by a linear map. By exploiting special properties of solutions of linear systems, with a small dose of linear algebra, we will be able to compute the flows of these systems explicitly and determine their phase portraits. After obtaining explicit solutions, we direct our attention to qualita作者: Expressly 時間: 2025-3-26 05:36
Kienb?ck’s Disease and Ulnar Variancer foregoing discussions that the stability type of an equilibrium point of a linear system is determined by the eigenvalues of its coefficient matrix. Analogous to the results in Section 1.3, we prove several theorems to show that, under certain conditions, the stability type of an equilibrium point作者: 過分 時間: 2025-3-26 11:50
The Kienb?ck’s Dilemma — How to Copevector field has one zero and one negative eigenvalue. Our investigation culminates in the observation that the local dynamics and bifurcations of such a planar system are determined from those of an appropriate scalar differential equation. Analysis of the resulting scalar equation can, of course, 作者: DIS 時間: 2025-3-26 14:04 作者: 高度表 時間: 2025-3-26 18:08 作者: 泄露 時間: 2025-3-26 21:27
Alessandro Caroli,Stefano Zanasié-Andronov-Hopf, and breaking homoclinic loops and saddle connections. It is natural to ponder when, if ever, we will stop adding to the list and produce a complete catalog of all possible bifurcations. In this chapter, we indeed provide such a list for “generic” bifurcations of planar vector fields作者: 執(zhí) 時間: 2025-3-27 02:19
Kienb?ck’s Disease and Ulnar Variancetor fields have the common property that they are defined in terms of functions; however, their flows are completely different. While periodic and homoclinic orbits may be omnipresent in conservative systems, the limit sets of orbits of gradient systems are necessarily part of the set of equilibria.作者: 合法 時間: 2025-3-27 06:17 作者: contrast-medium 時間: 2025-3-27 10:13 作者: 寬宏大量 時間: 2025-3-27 13:55
Evolution of Quantitative Easingstudy of dynamics and bifurcations of maps. In particular, we investigate local bifurcations of a class of maps, monotone maps, which will later play a prominent role in our study of differential equations. We end the chapter with a brief exposition of a landmark quadratic map, the logistic map.作者: locus-ceruleus 時間: 2025-3-27 21:42 作者: 起草 時間: 2025-3-27 22:08 作者: JIBE 時間: 2025-3-28 02:08
A. Herbert Alexander,David M. Lichtman orbit encircling the equilibrium point. We present a proof of this celebrated result—the Poincaré-Andronov-Hopf Theorem—and a discussion of the stability of the periodic orbit. We conclude with an exposition of computational procedures for determining bifurcation diagrams of periodic orbits bifurca作者: harrow 時間: 2025-3-28 08:14
Kienb?ck’s Disease and Ulnar Variancerst present several basic theorems on the presence or absence of periodic orbits of planar systems. We then investigate the stability and local bifurcations of periodic orbits in terms of Poincaré maps. As an important application of these ideas, we establish the existence of a globally attracting p作者: 自愛 時間: 2025-3-28 14:11 作者: 勾引 時間: 2025-3-28 18:16 作者: 絆住 時間: 2025-3-28 21:52 作者: chondromalacia 時間: 2025-3-29 02:21 作者: STALL 時間: 2025-3-29 07:03 作者: 咽下 時間: 2025-3-29 08:52 作者: glowing 時間: 2025-3-29 13:25
In the Presence of Purely Imaginary Eigenvalues orbit encircling the equilibrium point. We present a proof of this celebrated result—the Poincaré-Andronov-Hopf Theorem—and a discussion of the stability of the periodic orbit. We conclude with an exposition of computational procedures for determining bifurcation diagrams of periodic orbits bifurca作者: Obligatory 時間: 2025-3-29 16:11 作者: Meander 時間: 2025-3-29 23:33 作者: 痛苦一下 時間: 2025-3-30 02:49
Conservative and Gradient Systemsector fields are essentially determined by the unstable manifolds of the saddle points. We also illustrate typical one-parameter bifurcations of conservative and gradient systems in nongeneric cases. Of course, the setting for the bifurcation theory of these systems has the important restriction tha作者: 不真 時間: 2025-3-30 07:23
Planar Mapsrea-preserving maps, an important class arising from classical mechanics and possessing a rich history. The subject of planar maps is a vast one that is also mathematically rather sophisticated. Yet, many planar maps with innocuous appearances continue to defy satisfactory mathematical analysis. Ind作者: dagger 時間: 2025-3-30 08:26 作者: groggy 時間: 2025-3-30 14:25 作者: 象形文字 時間: 2025-3-30 18:10 作者: Ventricle 時間: 2025-3-31 00:44
The Kienb?ck’s Dilemma — How to Copebe accomplished using the results in Chapters 1 and 2. To provide a geometric view of this reduction from two dimensions to one, we include an exposition of a class of important invariant curves—center manifolds—which capture the asymptotic features of these planar systems.作者: 難管 時間: 2025-3-31 02:52 作者: PALMY 時間: 2025-3-31 05:35
Decline of the Yangtze River Civilizationese results to determine local bifurcations of nonhyperbolic 1-periodic solutions of 1-periodic differential equations depending on a scalar parameter. We should warn you that this chapter, by necessity, is more technical than the previous ones.作者: antiandrogen 時間: 2025-3-31 09:11
Bifurcations of Periodic Equationsese results to determine local bifurcations of nonhyperbolic 1-periodic solutions of 1-periodic differential equations depending on a scalar parameter. We should warn you that this chapter, by necessity, is more technical than the previous ones.作者: inhumane 時間: 2025-3-31 15:51
