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標(biāo)題: Titlebook: Geography of Order and Chaos in Mechanics; Investigations of Qu Bruno Cordani Book 20131st edition Springer Science+Business Media, New Yor [打印本頁]

作者: Polk    時(shí)間: 2025-3-21 19:19
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作者: 吸引人的花招    時(shí)間: 2025-3-21 21:20
Analytical Mechanics and Integrable Systems,iables. This will be done in the third section of the chapter. In the first two sections we recall the main ideas of differential geometry and Lie groups, which are the natural language of analytical mechanics.
作者: 破布    時(shí)間: 2025-3-22 03:10

作者: CORE    時(shí)間: 2025-3-22 07:41
,Die ?konomische Lage der Handwerker,iables. This will be done in the third section of the chapter. In the first two sections we recall the main ideas of differential geometry and Lie groups, which are the natural language of analytical mechanics.
作者: Sedative    時(shí)間: 2025-3-22 12:29
Forschungsmethode der vorliegenden Arbeitn achieved. An example is our solar system, in which the perturbations are the interactions between planets. In this book we will suggest how to guess an answer, and on the way all these keywords will come into play.
作者: 使習(xí)慣于    時(shí)間: 2025-3-22 15:24
https://doi.org/10.1007/978-3-322-85333-2e just the indicators of nonintegrability. Then, with the Frequency Modulation Indicator (FMI) we will analyze how order, chaos, and resonances are localized in action space, thus completing the study of the three quasi-integrable systems.
作者: 使習(xí)慣于    時(shí)間: 2025-3-22 19:59
Introductory Survey,n achieved. An example is our solar system, in which the perturbations are the interactions between planets. In this book we will suggest how to guess an answer, and on the way all these keywords will come into play.
作者: Cloudburst    時(shí)間: 2025-3-23 00:33

作者: 卷發(fā)    時(shí)間: 2025-3-23 05:09
Book 20131st edition Order and Chaos in Mechanics. will be a valuable resource for professional researchers and certain advanced undergraduate students in mathematics and physics, but mostly will be an exceptional reference for Ph.D. students with an interest in perturbation theory..
作者: Anticoagulant    時(shí)間: 2025-3-23 09:06

作者: 吞噬    時(shí)間: 2025-3-23 11:23
Analytical Mechanics and Integrable Systems,c concepts, such as Hamilton equations, symplectic (i.e., canonical) transformations, symmetry and reduction, integrable systems, and action-angle variables. This will be done in the third section of the chapter. In the first two sections we recall the main ideas of differential geometry and Lie gro
作者: Myosin    時(shí)間: 2025-3-23 16:25

作者: Infuriate    時(shí)間: 2025-3-23 20:58
Numerical Tools I: ODE Integration,nd compared with the “true” motion, obtained from numerical integration. Moreover, the geography of the resonances will be detected thanks to the tools described in the next chapter, which again require a numerical integration.
作者: 僵硬    時(shí)間: 2025-3-23 22:38

作者: 保守    時(shí)間: 2025-3-24 06:24
Final Remarks and Perspectives,ve and quantitative features of the relative dynamics, even for systems with three or more degrees of freedom. By combining analytical, numerical, and geometrical methods, in effect one can also grasp the geography of the resonances, and hence the distribution of order and chaos.
作者: 縮影    時(shí)間: 2025-3-24 09:42
1544-9998 d certain advanced undergraduate students in mathematics and physics, but mostly will be an exceptional reference for Ph.D. students with an interest in perturbation theory..978-1-4939-0044-2978-0-8176-8370-2Series ISSN 1544-9998 Series E-ISSN 2197-1846
作者: overhaul    時(shí)間: 2025-3-24 11:47
Forschungsmethode der vorliegenden Arbeithematicians who are not directly involved in this area they may sound a bit vague. To grasp what they are about, consider the following question: Given a conservative mechanical system, thus without dissipative forces, what is its ultimate fate? Without further information the answer probably cannot
作者: Abominate    時(shí)間: 2025-3-24 14:54
,Die ?konomische Lage der Handwerker,c concepts, such as Hamilton equations, symplectic (i.e., canonical) transformations, symmetry and reduction, integrable systems, and action-angle variables. This will be done in the third section of the chapter. In the first two sections we recall the main ideas of differential geometry and Lie gro
作者: CAND    時(shí)間: 2025-3-24 22:16
Die Wirtschaftspolitik der ?ra Kohllue is of the same order of .., and . << 1. The perturbed problem thus differs slightly from the unperturbed one, but unfortunately the same is not true for the solution: a small perturbation can give rise to . effects, i.e., to a slow but progressive wandering from the unperturbed, and known for in
作者: Wernickes-area    時(shí)間: 2025-3-25 00:38
https://doi.org/10.1007/978-3-658-37294-1nd compared with the “true” motion, obtained from numerical integration. Moreover, the geography of the resonances will be detected thanks to the tools described in the next chapter, which again require a numerical integration.
作者: Cardiac-Output    時(shí)間: 2025-3-25 06:13
https://doi.org/10.1007/978-3-322-85333-2ted three–body problem, and the motion of a satellite around an oblate primary. In all three cases we will first find the normal integrable form, comparing the relative motion with the “true” one obtained by numerical integration. Several concrete examples will be given, showing in general a very go
作者: 猛然一拉    時(shí)間: 2025-3-25 07:45
Sinn und Zweck der Kino-Projektoren,ve and quantitative features of the relative dynamics, even for systems with three or more degrees of freedom. By combining analytical, numerical, and geometrical methods, in effect one can also grasp the geography of the resonances, and hence the distribution of order and chaos.
作者: anarchist    時(shí)間: 2025-3-25 12:08
Bruno CordaniOffers a unique approach to the dynamics of quasi-integrable Hamiltonian systems.Provides a rare opportunity for readers to experiment with and fully conceptualize recent numerical tools via customize
作者: 不發(fā)音    時(shí)間: 2025-3-25 16:28
https://doi.org/10.1007/978-0-8176-8370-2KAM theory; MATLAB programs; Nekhoroshev theorem; normal forms; numerical integration; perturbation theor
作者: conjunctiva    時(shí)間: 2025-3-25 22:47

作者: Self-Help-Group    時(shí)間: 2025-3-26 01:31

作者: hysterectomy    時(shí)間: 2025-3-26 05:00

作者: TAP    時(shí)間: 2025-3-26 11:26
Die Wissenschaft vom Leben nach dem TodIn this chapter, we will study the group-geometrical structure of the Kepler problem and point out how this structure also turns out to be useful in the study of the perturbed case.
作者: 改變    時(shí)間: 2025-3-26 14:04

作者: 鬧劇    時(shí)間: 2025-3-26 17:54

作者: 合法    時(shí)間: 2025-3-26 21:47

作者: CHURL    時(shí)間: 2025-3-27 02:30
The Kepler Problem,In this chapter, we will study the group-geometrical structure of the Kepler problem and point out how this structure also turns out to be useful in the study of the perturbed case.
作者: congenial    時(shí)間: 2025-3-27 06:04
The KEPLER Program,In this chapter we will describe how to use the KEPLER program, trying to be self-contained and without referring excessively to the underlying mathematical structure. The command statements are gathered in four windows, which one selects in the pop-up menu in the left-top corner. See the Appendix A for snapshots of the MATLAB programs in the CD.
作者: 征兵    時(shí)間: 2025-3-27 11:09
The Multi-Body Gravitational Problem,Deducing the motion of bodies interacting gravitationally is probably the most important mechanical problem but also the most difficult. The threebody problem is not integrable, even if the masses are very small but of comparable size, and this fact prevents in general the use of perturbative methods.
作者: Acupressure    時(shí)間: 2025-3-27 14:42

作者: 相反放置    時(shí)間: 2025-3-27 19:51
https://doi.org/10.1007/978-3-658-37294-1nd compared with the “true” motion, obtained from numerical integration. Moreover, the geography of the resonances will be detected thanks to the tools described in the next chapter, which again require a numerical integration.
作者: anchor    時(shí)間: 2025-3-28 01:18

作者: Incompetent    時(shí)間: 2025-3-28 05:54

作者: Visual-Acuity    時(shí)間: 2025-3-28 10:02

作者: 柳樹;枯黃    時(shí)間: 2025-3-28 14:25

作者: intercede    時(shí)間: 2025-3-28 16:30

作者: Altitude    時(shí)間: 2025-3-28 21:48

作者: Uncultured    時(shí)間: 2025-3-29 00:44

作者: BAN    時(shí)間: 2025-3-29 05:47





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