標題: Titlebook: Hamiltonian Systems with Three or More Degrees of Freedom; Carles Simó Book 1999 Springer Science+Business Media Dordrecht 1999 Kolmogorov [打印本頁] 作者: 選民 時間: 2025-3-21 17:01
書目名稱Hamiltonian Systems with Three or More Degrees of Freedom影響因子(影響力)
書目名稱Hamiltonian Systems with Three or More Degrees of Freedom影響因子(影響力)學科排名
書目名稱Hamiltonian Systems with Three or More Degrees of Freedom網(wǎng)絡(luò)公開度
書目名稱Hamiltonian Systems with Three or More Degrees of Freedom網(wǎng)絡(luò)公開度學科排名
書目名稱Hamiltonian Systems with Three or More Degrees of Freedom被引頻次
書目名稱Hamiltonian Systems with Three or More Degrees of Freedom被引頻次學科排名
書目名稱Hamiltonian Systems with Three or More Degrees of Freedom年度引用
書目名稱Hamiltonian Systems with Three or More Degrees of Freedom年度引用學科排名
書目名稱Hamiltonian Systems with Three or More Degrees of Freedom讀者反饋
書目名稱Hamiltonian Systems with Three or More Degrees of Freedom讀者反饋學科排名
作者: MOAN 時間: 2025-3-21 22:57 作者: 對待 時間: 2025-3-22 03:04 作者: 細菌等 時間: 2025-3-22 06:52 作者: MELON 時間: 2025-3-22 09:13
https://doi.org/10.1007/978-94-015-9692-3arameter. A careful analysis of the accumulation of the small divisors shows that it can be controlled geometrically. As a consequence, the proof of convergence is based essentially on Cauchy’s majorants method, with no use of the so called quadratic method. A short comparison with Lindstedt’s series is included.作者: Recessive 時間: 2025-3-22 15:31 作者: investigate 時間: 2025-3-22 19:26
Isao Tanaka,Nobuhiro Tsuji,Haruyuki Inuif several planets. For most of the simple commensurabilities, chaotic motion leads to high eccentricities which lead to planet crossing, which lead to removal of the asteroid. For the 2:1 commensurability, the result is not so clear and still controversial.作者: 撫慰 時間: 2025-3-23 00:20 作者: 允許 時間: 2025-3-23 03:09 作者: heterodox 時間: 2025-3-23 08:06 作者: Inflated 時間: 2025-3-23 09:58
Dynamical Stability in Lagrangian Systemsper presents original results on autonomous Lagrangian systems on the two torus including a precise description of Mather’s beta function. Examples are given of mechanical systems with non-strictly convex beta function and with an Euler-Lagrange minimizer which is not a Jacobi minimizer.作者: ADORE 時間: 2025-3-23 15:33 作者: BATE 時間: 2025-3-23 18:10
The Method of Rational Approximations: Theory and Applicationslactic dynamics. Applications of the method in dynamical systems of physical, chemical or biological importance, are under consideration. The results show that we can use this method easily, in cases where we do not know the form of the solution, and simultaneously we have very good accuracy for the first and second order terms.作者: 舊石器時代 時間: 2025-3-23 23:12
https://doi.org/10.1007/978-1-4684-4937-2of the splitting of the separatrices predicted by his perturbative method was exponentially small with respect to ? [39, page 223], a fact which prevented him to provide rigorous results, since the remainder of his perturbative expansion was, in principle, O(?.).作者: hurricane 時間: 2025-3-24 04:57
https://doi.org/10.1007/978-1-349-27224-2 a characterization which may be just wrong in a restricted sense (thinking in terms of classical Markov processes), and certainly will require a lot more understanding of the phenomenon before it can be vindicated.作者: 值得尊敬 時間: 2025-3-24 08:28 作者: gerontocracy 時間: 2025-3-24 12:19 作者: Excise 時間: 2025-3-24 17:17
https://doi.org/10.1007/978-94-015-8447-0hat the theorem holds also for smooth, i.e. for sufficiently often differentiable Hamiltonian systems; this was proven by the writer (1962) [19] in a special but representative case. Since the sixties mathematical physicist use the term KAM theory for this type of proof.作者: Facilities 時間: 2025-3-24 19:57
Old and New Applications of Kam Theoryhat the theorem holds also for smooth, i.e. for sufficiently often differentiable Hamiltonian systems; this was proven by the writer (1962) [19] in a special but representative case. Since the sixties mathematical physicist use the term KAM theory for this type of proof.作者: 殘廢的火焰 時間: 2025-3-25 02:10
https://doi.org/10.1007/978-94-011-8117-4 that leaves invariant Ho and .0. If we consider the various possible choices of .0, for a given .0, then changes to.∞ (.0,R), ? 0 (i.e., the paramctrisation of the orbits). Rcparametrisation does not change the periodic orbits but usually does change the periods.作者: 政府 時間: 2025-3-25 05:16
https://doi.org/10.1057/9781137364593rturbation, and to the study of the global dynamics of a 4 dimensional symplectic mapping with definite or indefinite torsion. The convergence of the frequency analysis algorithm on KAM solutions is demonstrated, and the asymptotic value of the error is provided.作者: 陪審團 時間: 2025-3-25 11:33 作者: Isolate 時間: 2025-3-25 14:07
Introduction to Frequency Map Analysisrturbation, and to the study of the global dynamics of a 4 dimensional symplectic mapping with definite or indefinite torsion. The convergence of the frequency analysis algorithm on KAM solutions is demonstrated, and the asymptotic value of the error is provided.作者: 天氣 時間: 2025-3-25 16:14
978-94-010-5968-8Springer Science+Business Media Dordrecht 1999作者: NAG 時間: 2025-3-25 22:35 作者: 出血 時間: 2025-3-26 03:21
https://doi.org/10.1007/978-94-011-4673-9Kolmogorov–Arnold–Moser theorem; Signatur; degrees of freedom; dynamics; mechanics; partial differential 作者: forthy 時間: 2025-3-26 05:42
https://doi.org/10.1007/978-3-319-73524-5If (..,.) is a surface with Riemannian metric, then a family of immersed curves .. | 0 ≤ . < . on .. evolves by . if where .. is the geodesic curvature, and . is a unit normal to the curve. Since ... can be written as where . is arclength along ., (1) is essentially a parabolic equation, i.e. a nonlinear heat equation.作者: euphoria 時間: 2025-3-26 10:56 作者: 斥責 時間: 2025-3-26 15:38 作者: 刺耳的聲音 時間: 2025-3-26 17:30
https://doi.org/10.1007/978-1-4899-1772-0The study of order and chaos in 3-D systems is a subject of great current interest. Although many aspects of these problems in 2-D systems are more or less understood, the corresponding problems in systems of 3 degrees of freedom are still largely unexplored.作者: 運氣 時間: 2025-3-26 22:58 作者: Arthropathy 時間: 2025-3-27 05:08
https://doi.org/10.1007/978-1-349-17853-7One of the first methods to compute quasi-periodic orbits (i. e. invariant tori with linear motions on them) was the Lindstedt method (see [14] Vol. 2) which produces an expansion of the quasi-periodic orbit with a fixed frequency in powers of a small parameter measuring the distance to integrability.作者: Connotation 時間: 2025-3-27 05:29
Inflection Points, Extatic Points and Curve ShorteningIf (..,.) is a surface with Riemannian metric, then a family of immersed curves .. | 0 ≤ . < . on .. evolves by . if where .. is the geodesic curvature, and . is a unit normal to the curve. Since ... can be written as where . is arclength along ., (1) is essentially a parabolic equation, i.e. a nonlinear heat equation.作者: 有權(quán) 時間: 2025-3-27 12:59 作者: 單純 時間: 2025-3-27 16:00
Heteroclinic Chains of Skew Product Hamiltonian SystemsConsider a time dependent Hamiltonian system.with configuration manifold . and phase space.Here .: . → ... is the operator corresponding to the symplectic structure . ∧ . Fix a complete Riemannian metric ∥ ? ∥ on .. Let . satisfy the following assumptions.作者: vector 時間: 2025-3-27 19:52 作者: 無關(guān)緊要 時間: 2025-3-28 01:38
On The Discrete One-Dimensional Quasi-Periodic Schr?dinger Equation and Other Smooth Quasi-Periodic In this paper we shall review some results about . and some other skew products over a . of the one-dimensional torus T = ?/(2π?). The results are of perturbation character and obtained by KAM-type arguments.作者: 思想上升 時間: 2025-3-28 05:06
Lindstedt Series for Lower Dimensional ToriOne of the first methods to compute quasi-periodic orbits (i. e. invariant tori with linear motions on them) was the Lindstedt method (see [14] Vol. 2) which produces an expansion of the quasi-periodic orbit with a fixed frequency in powers of a small parameter measuring the distance to integrability.作者: Torrid 時間: 2025-3-28 08:50
https://doi.org/10.1007/978-3-031-63083-5 of the three body problem, [1], In modern language, [2], it is the generating function, that I call . here, . of the sequence of trigonometric polynomials associated with well known combinatorial objects, namely ..作者: Impugn 時間: 2025-3-28 10:47 作者: Guaff豪情痛飲 時間: 2025-3-28 17:48
https://doi.org/10.1007/978-0-387-77956-0en value of the slow variables let the sub-system for the fast variables be completely integrable. The averaging method predicts that the “actions” of fast motion are approximate integrals of the original system — adiabatic invariants. The destruction of this adiabatic invariance due to passage through and capture into resonances is described.作者: 不吉祥的女人 時間: 2025-3-28 19:32
Lindstedt Series and Kolmogorov Theorem of the three body problem, [1], In modern language, [2], it is the generating function, that I call . here, . of the sequence of trigonometric polynomials associated with well known combinatorial objects, namely ..作者: placebo-effect 時間: 2025-3-29 00:37
Hamiltonian Systems with Three Degrees of Freedom and Hydrodynamicsirst level is the ability to see and to use the analogies between different problems. The next level is constituted by the analogies between theories. And finally only can be considered as high class mathematicians those who are able to use analogies between analogies.作者: RAG 時間: 2025-3-29 04:05 作者: hankering 時間: 2025-3-29 08:45 作者: 后退 時間: 2025-3-29 13:44 作者: 可耕種 時間: 2025-3-29 16:34 作者: 譏笑 時間: 2025-3-29 20:17
https://doi.org/10.1007/978-94-015-9692-3 perturbation algorithm. It is shown that the original Kolmogorov’s algorithm can be given the form of a constructive scheme based on expansion in a parameter. A careful analysis of the accumulation of the small divisors shows that it can be controlled geometrically. As a consequence, the proof of c作者: 秘方藥 時間: 2025-3-30 02:42
https://doi.org/10.1007/978-981-10-3292-9ics of such systems are, in a precise sense, at least as complicated as those of the geodesic flow of the hyperbolic metric. The second part of the paper presents original results on autonomous Lagrangian systems on the two torus including a precise description of Mather’s beta function. Examples ar作者: brother 時間: 2025-3-30 05:15 作者: 終點 時間: 2025-3-30 12:16
https://doi.org/10.1007/978-94-011-8117-4r value of .0. Then .(.) is a codimension 1 .∞ manifold. Given any codimension 1 .∞ manifold .0 .2., then .0 is a connected component of .(.), for some .∞ function .0 and . as regular value..Let . the Hamiltonian vectorfield associated to .0 and .0 such that ., and . the local Hamiltonian flow of .,作者: Hay-Fever 時間: 2025-3-30 14:02
https://doi.org/10.1007/978-981-19-3242-7irst level is the ability to see and to use the analogies between different problems. The next level is constituted by the analogies between theories. And finally only can be considered as high class mathematicians those who are able to use analogies between analogies.作者: 牢騷 時間: 2025-3-30 17:05
https://doi.org/10.1057/9781137364593 is particularly useful for systems of 3 degrees of freedom and more. The frequency map dependence with time also allows refined estimates of the diffusion of the orbits in the frequency domain. Here are presented some applications of frequency map analysis to the special case of a quasi-periodic pe作者: esculent 時間: 2025-3-30 22:54 作者: Pepsin 時間: 2025-3-31 02:26 作者: investigate 時間: 2025-3-31 08:06
https://doi.org/10.1007/978-0-387-77956-0en value of the slow variables let the sub-system for the fast variables be completely integrable. The averaging method predicts that the “actions” of fast motion are approximate integrals of the original system — adiabatic invariants. The destruction of this adiabatic invariance due to passage thro作者: 綠州 時間: 2025-3-31 12:53
https://doi.org/10.1007/978-1-349-20083-2h the works of Wood and the author. The method is used for the solution of nonlinear differential equations and applies particularly in problems of galactic dynamics. Applications of the method in dynamical systems of physical, chemical or biological importance, are under consideration. The results 作者: 溺愛 時間: 2025-3-31 16:08
Splitting of Separatrices in Hamiltonian Systems and Symplectic Mapsrate the problem of the three bodies, expanding the solutions with respect to a small parameter, Poincaré noticed that the main obstruction was due to the possibility of transversal intersection of invariant manifolds that were coincident (separatrices) for the unperturbed integrable problem. To mea作者: 逢迎白雪 時間: 2025-3-31 20:07
Lindstedt Series and Kolmogorov Theorem of the three body problem, [1], In modern language, [2], it is the generating function, that I call . here, . of the sequence of trigonometric polynomials associated with well known combinatorial objects, namely ..
