標題: Titlebook: Bifurcations and Catastrophes; Geometry of Solution Michel Demazure Textbook 2000 Springer-Verlag Berlin Heidelberg 2000 Bifurcations.Catas [打印本頁] 作者: 調(diào)停 時間: 2025-3-21 19:36
書目名稱Bifurcations and Catastrophes影響因子(影響力)
書目名稱Bifurcations and Catastrophes影響因子(影響力)學科排名
書目名稱Bifurcations and Catastrophes網(wǎng)絡公開度
書目名稱Bifurcations and Catastrophes網(wǎng)絡公開度學科排名
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書目名稱Bifurcations and Catastrophes讀者反饋學科排名
作者: 獨特性 時間: 2025-3-21 21:21 作者: 引起痛苦 時間: 2025-3-22 00:58 作者: 完成才能戰(zhàn)勝 時間: 2025-3-22 06:40
0172-5939 pplementary material: Based on a lecture course at the Ecole Polytechnique (Paris), this text gives a rigorous introduction to many of the key ideas in nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory. Wherever appropriate it emphasizes a geometrical or coord作者: 樂意 時間: 2025-3-22 12:45 作者: certain 時間: 2025-3-22 15:44
Interventions in Career Design and Educationt such a point is traditionally called a .. By differentiation at . we associate to these a linear vector field ., which we naturally call the . of . at a, whose phase space is, no less naturally, the tangent space . to . at a. We aim to compare the integral flow of . (in a neighbourhood of a) with that of . (in a neighbourhood of 0).作者: Orchiectomy 時間: 2025-3-22 21:08
Maria Eduarda Duarte,Paulo Cardosoit changes as the parameters vary. This is the question answered by catastrophe theory when we restrict to dissipative systems governed by a potential, and take as the only significant features of the phase portrait the equilibrium positions and their bifurcations.作者: 哎呦 時間: 2025-3-22 22:03 作者: 負擔 時間: 2025-3-23 02:38 作者: Pessary 時間: 2025-3-23 07:17
Bifurcations of Phase Portraits,it changes as the parameters vary. This is the question answered by catastrophe theory when we restrict to dissipative systems governed by a potential, and take as the only significant features of the phase portrait the equilibrium positions and their bifurcations.作者: 姑姑在炫耀 時間: 2025-3-23 10:03 作者: staging 時間: 2025-3-23 14:37
Interventions in Career Design and Educationp?.{x}), p?.(x), x, p(x), p(p[x)}),… and knowledge of p enables us to reconstruct the dynamics in a neighbourhood of i?, at least if we decide to disregard the time between two successive intersections, which amounts to working to within . (6.11.5, 6.11.6)作者: Vital-Signs 時間: 2025-3-23 21:31
Linear Vector Fields, those properties which have some chance of being preserved under perturbations. This leads us once more into the ideas of stability and genericity that we have already met in connection with other questions.作者: Anterior 時間: 2025-3-24 01:18
,Closed Orbits — Structural Stability,p?.{x}), p?.(x), x, p(x), p(p[x)}),… and knowledge of p enables us to reconstruct the dynamics in a neighbourhood of i?, at least if we decide to disregard the time between two successive intersections, which amounts to working to within . (6.11.5, 6.11.6)作者: mechanism 時間: 2025-3-24 05:12 作者: 過渡時期 時間: 2025-3-24 09:24 作者: 犬儒主義者 時間: 2025-3-24 11:40 作者: 毀壞 時間: 2025-3-24 15:23
Santosh C. Uppu,P. Syamasundar Raoicients of the differential system depend on time (in this case we say that the system is .) then the representative point will have to contain the time (we then often speak of an .). If some of the coefficients are regarded as adjustable then they also have to be included as coordinates for the rep作者: deceive 時間: 2025-3-24 19:04
Local Inversion,ther is invertible, and what regularity can we hope for in the inverse map? In fact it is very rare to be able to prove that the map is globally invertible, and we have to restrict ourselves to a ’local’ statement.作者: overbearing 時間: 2025-3-25 01:04
Submanifolds,licated. For example, the space of configurations of a solid body with one fixed point can be identified with the group .(3) of rotations of ., which is a 3-dimensional submanifold of the space . of 3 × 3 matrices. The configuration space of a (free) solid has three more dimensions due to translatio作者: 肉身 時間: 2025-3-25 07:01
Classification of Differentiable Functions,. We follow the method suggested by the Transversality Theorem in going from ’generic’ situations to more particular ones. First of all, as the Local Inversion Theorem shows, for a generic function f at a generic point a there is nothing to say: such a function can be written as . where . is one mem作者: Lignans 時間: 2025-3-25 08:13
Catastrophe Theory, most common applications we are concerned with potentials depending on a finite sequence of control parameters and we study the bifurcation of their equilibrium states. For the reasons given in the Introduction, we are particularly interested in . families. Moreover, what we want to do essentially 作者: indifferent 時間: 2025-3-25 15:12
Vector Fields,by differential equations. We start by associating to each state of the system a ’representative’ point, and the set of these points forms what in general we call the . of the system. This representation of the state of a system by a point in phase space must be rich enough so that knowing the point作者: Anterior 時間: 2025-3-25 18:29 作者: 十字架 時間: 2025-3-25 21:11 作者: hardheaded 時間: 2025-3-26 02:59 作者: Interlocking 時間: 2025-3-26 04:46
Bifurcations of Phase Portraits, (as in Chapt. 5, we may talk about control parameters, hidden parameters, imperfection parameters, … ) and we wish to understand how the phase portrait changes as the parameters vary. This is the question answered by catastrophe theory when we restrict to dissipative systems governed by a potential作者: 爭吵 時間: 2025-3-26 09:48 作者: 橫條 時間: 2025-3-26 13:39 作者: Embolic-Stroke 時間: 2025-3-26 20:07
https://doi.org/10.1007/978-3-642-57134-3Bifurcations; Catastrophes; Dynamical Systems; Maxima; Nonlinear; Singularities; catastrophe theory; diffeo作者: 前奏曲 時間: 2025-3-27 00:32 作者: exostosis 時間: 2025-3-27 03:44
https://doi.org/10.1007/b137719In this introduction we try to give some idea of the motivation and content of the course of lectures on which this book was based. Most of the points mentioned will be discussed in the text, but some of them are referred to merely in order to indicate possible extensions.作者: Trabeculoplasty 時間: 2025-3-27 07:25 作者: 溫和女孩 時間: 2025-3-27 11:57
Introduction,In this introduction we try to give some idea of the motivation and content of the course of lectures on which this book was based. Most of the points mentioned will be discussed in the text, but some of them are referred to merely in order to indicate possible extensions.作者: 真實的你 時間: 2025-3-27 14:08
Transversality Theorems,In this chapter we look into a topic which is the modern version of an old idea, namely ’general position’, and we shall try to explain why it is important.作者: 出價 時間: 2025-3-27 19:38
Local Inversion,ther is invertible, and what regularity can we hope for in the inverse map? In fact it is very rare to be able to prove that the map is globally invertible, and we have to restrict ourselves to a ’local’ statement.作者: evanescent 時間: 2025-3-28 00:15
Karl-Heinz Deeg,Burkhard Trusenther is invertible, and what regularity can we hope for in the inverse map? In fact it is very rare to be able to prove that the map is globally invertible, and we have to restrict ourselves to a ’local’ statement.作者: arthroplasty 時間: 2025-3-28 04:20 作者: 容易懂得 時間: 2025-3-28 07:38 作者: flimsy 時間: 2025-3-28 14:09 作者: Celiac-Plexus 時間: 2025-3-28 15:05 作者: 泰然自若 時間: 2025-3-28 21:20
Sarah Blissett,Vaikom S. Mahadevan the neighbourhood of a singular point it is natural to linearize the problem, so that we are then investigating the phase portrait of a linear vector field (for which, incidentally, the local study at the origin and the global study are the same thing). In this chapter we shall see that such an app作者: 可互換 時間: 2025-3-29 00:18
Interventions in Career Design and Educationum point? This translates into our technical language as follows. Consider a vector field . on a phase space ., and a point . at which . 0 (recall that such a point is traditionally called a .. By differentiation at . we associate to these a linear vector field ., which we naturally call the . of . 作者: blithe 時間: 2025-3-29 05:32
Interventions in Career Design and Educationd orbits (known also under the poetic name of .). They are studied by a method that goes back to Poincaré. This consists of choosing a point a of the closed orbit Ω, taking a small piece of hypersurface . through o and transverse to Ω, and for each . € . considering the first point . at which the or作者: 乞討 時間: 2025-3-29 10:44 作者: 障礙物 時間: 2025-3-29 13:52 作者: municipality 時間: 2025-3-29 19:00
Karl-Heinz Deeg,Burkhard Trusenther is invertible, and what regularity can we hope for in the inverse map? In fact it is very rare to be able to prove that the map is globally invertible, and we have to restrict ourselves to a ’local’ statement.
