標(biāo)題: Titlebook: Averaging Methods in Nonlinear Dynamical Systems; Jan A. Sanders,Ferdinand Verhulst,James Murdock Book 2007Latest edition Springer-Verlag [打印本頁(yè)] 作者: 不讓做的事 時(shí)間: 2025-3-21 17:22
書(shū)目名稱Averaging Methods in Nonlinear Dynamical Systems影響因子(影響力)
書(shū)目名稱Averaging Methods in Nonlinear Dynamical Systems影響因子(影響力)學(xué)科排名
書(shū)目名稱Averaging Methods in Nonlinear Dynamical Systems網(wǎng)絡(luò)公開(kāi)度
書(shū)目名稱Averaging Methods in Nonlinear Dynamical Systems網(wǎng)絡(luò)公開(kāi)度學(xué)科排名
書(shū)目名稱Averaging Methods in Nonlinear Dynamical Systems被引頻次
書(shū)目名稱Averaging Methods in Nonlinear Dynamical Systems被引頻次學(xué)科排名
書(shū)目名稱Averaging Methods in Nonlinear Dynamical Systems年度引用
書(shū)目名稱Averaging Methods in Nonlinear Dynamical Systems年度引用學(xué)科排名
書(shū)目名稱Averaging Methods in Nonlinear Dynamical Systems讀者反饋
書(shū)目名稱Averaging Methods in Nonlinear Dynamical Systems讀者反饋學(xué)科排名
作者: 悄悄移動(dòng) 時(shí)間: 2025-3-21 21:08 作者: 欲望小妹 時(shí)間: 2025-3-22 03:10 作者: Dealing 時(shí)間: 2025-3-22 07:49 作者: Outmoded 時(shí)間: 2025-3-22 10:59
https://doi.org/10.1007/978-3-642-48555-8 Moon in the case of the Earth, the interaction of large planets such as Jupiter and Saturn, the resistance of the ether and other effects. These considerations led to the formulation of perturbed two-body motion and, as exact solutions were clearly not available, the development of perturbation theory.作者: 別炫耀 時(shí)間: 2025-3-22 15:49 作者: 最高峰 時(shí)間: 2025-3-22 18:38
0066-5452 ast decades. So it is not surprising that the authors have presented an extensive revision of the first edition of the Averaging Methods in Nonlinear Dynamical Systems book. There are many changes, corrections and updates in chapters on Basic Material and Asymptotics, Averaging, and Attraction. Chap作者: 高調(diào) 時(shí)間: 2025-3-23 01:06 作者: DENT 時(shí)間: 2025-3-23 04:04 作者: Incorruptible 時(shí)間: 2025-3-23 09:23
https://doi.org/10.1007/978-3-642-48555-8simple case, but there we can usually solve the problem without any knowledge of invariant theory beyond the obvious. A good source for the background of some the mathematics we will be using in this chapter is [220].作者: 面包屑 時(shí)間: 2025-3-23 10:32
Periodic Averaging and Hyperbolicity, dynamical systems theory, it has become possible to study not only these local qualitative properties, but also global ones, such as the existence of connecting orbits from one periodic orbit to another.作者: NATTY 時(shí)間: 2025-3-23 17:02
Classical (First-Level) Normal Form Theory,orms that generalizes the averaging approach. This will require of the reader a certain knowledge of algebraic concepts, which we will indicate on the way. The emphasis will be much more on the formal algebraic properties of the theory than on the analytic aspects. However, these will have to be incorporated in the theory yet to be developed.作者: babble 時(shí)間: 2025-3-23 18:37 作者: Physiatrist 時(shí)間: 2025-3-23 23:16
Macedonische Kriegseinrichtungen, can sometimes be obtained for all . ≥ 0, or for all . such that the solution remains in a certain region. This chapter is concerned with solutions that approach a particular solution that is an attractor.作者: candle 時(shí)間: 2025-3-24 03:25
Macedonische Kriegseinrichtungen, serve as an introduction to the literature. In this context we mention [176, 125]; for the literature on passage of separatrices see [281]. To be more concrete, we will study the following equations.作者: 構(gòu)成 時(shí)間: 2025-3-24 06:45 作者: AIL 時(shí)間: 2025-3-24 11:33 作者: 得罪人 時(shí)間: 2025-3-24 17:51 作者: 木訥 時(shí)間: 2025-3-24 22:25 作者: gustation 時(shí)間: 2025-3-25 02:00
Passage Through Resonance, serve as an introduction to the literature. In this context we mention [176, 125]; for the literature on passage of separatrices see [281]. To be more concrete, we will study the following equations.作者: 強(qiáng)制令 時(shí)間: 2025-3-25 05:11 作者: 擁擠前 時(shí)間: 2025-3-25 11:23 作者: Ophthalmoscope 時(shí)間: 2025-3-25 14:30
https://doi.org/10.1007/978-3-642-94414-7solutions and estimate their error, but also to prove the existence of periodic orbits and determine their stability. With more recent developments in dynamical systems theory, it has become possible to study not only these local qualitative properties, but also global ones, such as the existence of作者: tendinitis 時(shí)間: 2025-3-25 16:02 作者: 六邊形 時(shí)間: 2025-3-25 23:08 作者: fiscal 時(shí)間: 2025-3-26 02:20
https://doi.org/10.1007/978-3-642-48555-8tion is defined. In Section 3.2 this process was formalized using the Lie method. We are now going to develop a completely abstract theory of normal forms that generalizes the averaging approach. This will require of the reader a certain knowledge of algebraic concepts, which we will indicate on the作者: conception 時(shí)間: 2025-3-26 05:40 作者: Sarcoma 時(shí)間: 2025-3-26 10:39 作者: 王得到 時(shí)間: 2025-3-26 15:13
https://doi.org/10.1007/978-3-642-48555-8ms, a basic approach is to locate and to characterize the classical ingredients of such systems. These ingredients are critical points (equilibrium solutions), periodic solutions, invariant manifolds (in particular quasiperiodic tori), homoclinics, heteroclinics, and in general stable and unstable m作者: incarcerate 時(shí)間: 2025-3-26 19:26
https://doi.org/10.1007/978-3-642-48555-8oday one can discern, rather artificially, three problem fields. The first one is the study of classical problems like perturbed Kepler motion, orbits in the threebody problem, the theory of asteroids and comets, etc. The second one is a small but relatively important field in which the astrophysici作者: locus-ceruleus 時(shí)間: 2025-3-26 22:41 作者: 吹氣 時(shí)間: 2025-3-27 02:01
Invariant Manifolds by Averaging,ms, a basic approach is to locate and to characterize the classical ingredients of such systems. These ingredients are critical points (equilibrium solutions), periodic solutions, invariant manifolds (in particular quasiperiodic tori), homoclinics, heteroclinics, and in general stable and unstable manifolds of special solutions.作者: 離開(kāi)可分裂 時(shí)間: 2025-3-27 08:34 作者: Inkling 時(shí)間: 2025-3-27 13:03
Applied Mathematical Scienceshttp://image.papertrans.cn/b/image/166957.jpg作者: agonist 時(shí)間: 2025-3-27 15:01
Averaging Methods in Nonlinear Dynamical Systems978-0-387-48918-6Series ISSN 0066-5452 Series E-ISSN 2196-968X 作者: 懸掛 時(shí)間: 2025-3-27 20:17
https://doi.org/10.1007/978-3-642-94414-7eeping” of averaging calculations, averaging systems containing “slow time”, ways to remove the nonuniqueness of the averaging transformation, and the relationship between averaging and the method of multiple scales.作者: 生銹 時(shí)間: 2025-3-27 22:18
https://doi.org/10.1007/978-3-642-48555-8ms, a basic approach is to locate and to characterize the classical ingredients of such systems. These ingredients are critical points (equilibrium solutions), periodic solutions, invariant manifolds (in particular quasiperiodic tori), homoclinics, heteroclinics, and in general stable and unstable manifolds of special solutions.作者: 連鎖 時(shí)間: 2025-3-28 05:09
https://doi.org/10.1007/978-0-387-48918-6Dynamical; Methods; Nonlinear; Systems; bifurcation; differential equation; partial differential equation; 作者: 格言 時(shí)間: 2025-3-28 09:23
978-1-4419-2376-9Springer-Verlag New York 2007作者: Euthyroid 時(shí)間: 2025-3-28 10:38 作者: 怎樣才咆哮 時(shí)間: 2025-3-28 18:06 作者: Cocker 時(shí)間: 2025-3-28 20:07
Macedonische Kriegseinrichtungen,This chapter will be concerned with the theory of averaging for equations in the standard form作者: NICE 時(shí)間: 2025-3-29 02:29
Macedonische Kriegseinrichtungen,In this chapter we consider systems of the form作者: 蕨類 時(shí)間: 2025-3-29 04:25
https://doi.org/10.1007/978-3-642-48555-8After introducing some concepts of Hamiltonian systems, we will discuss normalization in a Hamiltonian context. The applications will be directed at the basic resonances of two and three degree of freedom systems.作者: Palate 時(shí)間: 2025-3-29 11:04 作者: Middle-Ear 時(shí)間: 2025-3-29 13:35 作者: evaculate 時(shí)間: 2025-3-29 17:07
,Denkm?lerarten und Funktionsbereiche,This appendix is an adaptation and extension of the paper [280].作者: Benzodiazepines 時(shí)間: 2025-3-29 23:11
Basic Material and Asymptotics,In this chapter we collect some material which will play a part in the theory to be developed in the subsequent chapters. This background material consists of the existence and uniqueness theorem for initial value problems based on contraction and, associated with this, continuation results and growth estimates.作者: 原來(lái) 時(shí)間: 2025-3-30 00:07 作者: 礦石 時(shí)間: 2025-3-30 07:52
Averaging: the General Case,This chapter will be concerned with the theory of averaging for equations in the standard form作者: 失望未來(lái) 時(shí)間: 2025-3-30 10:22 作者: 圓木可阻礙 時(shí)間: 2025-3-30 12:58
Hamiltonian Normal Form Theory,After introducing some concepts of Hamiltonian systems, we will discuss normalization in a Hamiltonian context. The applications will be directed at the basic resonances of two and three degree of freedom systems.作者: SMART 時(shí)間: 2025-3-30 17:38 作者: enumaerate 時(shí)間: 2025-3-30 22:21
A 4-Dimensional Example of Hopf Bifurcation,We present here the essentials of the Hopf bifurcation theory, as far as they might be of use to the actual user, and, on the other hand, we boil down the amount of computations needed, to the point where they will not present the reason for not computing anything at all.作者: 不能和解 時(shí)間: 2025-3-31 02:37
On Averaging Methods for Partial Differential Equations,This appendix is an adaptation and extension of the paper [280].作者: countenance 時(shí)間: 2025-3-31 05:41
Methodology of Averaging,eeping” of averaging calculations, averaging systems containing “slow time”, ways to remove the nonuniqueness of the averaging transformation, and the relationship between averaging and the method of multiple scales.作者: Institution 時(shí)間: 2025-3-31 09:31
Attraction,tances. Usually the error estimates are valid for a time of order 1/., although occasionally this can be extended to 1/. for some integer . > 1 (see Theorem 2.9.4). In this chapter and the next, we investigate circumstances under which the validity of averaging can be extended still farther. Results作者: Hyperlipidemia 時(shí)間: 2025-3-31 16:44 作者: 通情達(dá)理 時(shí)間: 2025-3-31 18:44
Passage Through Resonance, could not happen, that is, Ω.(x) does not vanish, calling this the regular case. We now return to the problem where Ω. can have zeros or can be small. We cannot present a complete theory as such a theory is not available, so we rather aim at introducing the reader to the relevant concepts. This may作者: 證明無(wú)罪 時(shí)間: 2025-4-1 01:10 作者: 信徒 時(shí)間: 2025-4-1 01:56 作者: Hearten 時(shí)間: 2025-4-1 06:07
Nilpotent (Classical) Normal Form,degree of sophistication. One can consider this part of normal form theory as belonging to invariant theory. Of course, this is also true for the semisimple case, but there we can usually solve the problem without any knowledge of invariant theory beyond the obvious. A good source for the background
