GROG
发表于 2025-3-28 15:58:26
Stability of Hamiltonian Systems over Exponentially Long Times: The Near-Linear Caseresult of the theory, due to N.N. Nekhoroshev (, ; see also , ): Assume . is defined and . over some domain . of phase space; assume moreover that the unperturbed Hamiltonian . is ., i.e. the hessian matrix ∇.. is sign definite; then:.For any admissible initial condition (.(0), .(0)), one has:., provided . is small enough, i.e. |.|≤...
过分
发表于 2025-3-28 19:51:07
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欢呼
发表于 2025-3-29 01:31:50
https://doi.org/10.1057/9780230204119n this respect a very clear example. Combining mathematical elements taken from calculus, analytic geometry and linear algebra, it provides a general and powerful approach to the investigation of physical phenomena, one based nevertheless on a specific and highly idealized conception of the way in which matter interacts.
安抚
发表于 2025-3-29 03:42:25
Philosophy of Science and Economicsandidates for the vortex trails observed in experiments. In this note I will sketch a fresh approach to this old problem, which is based mainly on a systematic application of the Principle of Genericity, and Hamiltonian Bifurcation theory, , , , .
滔滔不绝的人
发表于 2025-3-29 09:31:30
https://doi.org/10.1057/9780230306479result of the theory, due to N.N. Nekhoroshev (, ; see also , ): Assume . is defined and . over some domain . of phase space; assume moreover that the unperturbed Hamiltonian . is ., i.e. the hessian matrix ∇.. is sign definite; then:.For any admissible initial condition (.(0), .(0)), one has:., provided . is small enough, i.e. |.|≤...
LINES
发表于 2025-3-29 13:15:04
Conference proceedings 1995, as well as a number of branches of mathematics, some of which were literally created along the way. This volume contains the proceedings of the International Conference on Hamiltonian Dynamical Systems; its contents reflect the wide scope and increasing influence of Hamiltonian methods, with contr
Stress-Fracture
发表于 2025-3-29 18:48:32
The Concept of Elastic Stress in Eighteenth-Century Mechanics: Some Examples from Eulerpts and ideas, on the one hand, and the application and extension of mathematical techniques on the other. The subject of continuum mechanics offers in this respect a very clear example. Combining mathematical elements taken from calculus, analytic geometry and linear algebra, it provides a general
灯泡
发表于 2025-3-29 20:07:14
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Hemiplegia
发表于 2025-3-30 03:41:54
Lax Pairs in the Henon-Heiles and Related Familiesns led to speculation, by some, that passing the test was a necessary condition for integrability. A subsequent infinite list of examples produced by A. Ramani et. al. forced a qualification of this conjecture, and counterexamples to that qualification have now appeared (e.g. see ). Wi
燕麦
发表于 2025-3-30 07:50:47
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