Titlebook: Hamiltonian Dynamical Systems; History, Theory, and H. S. Dumas,K. S. Meyer,D. S. Schmidt Conference proceedings 1995 Springer-Verlag New Y

GROG

Stability of Hamiltonian Systems over Exponentially Long Times: The Near-Linear Caseresult of the theory, due to N.N. Nekhoroshev ([5], [6]; see also [7], [8]): 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. |.|≤...

過(guò)分

歡呼

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.

安撫

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, [4], [5], [6], [7].

滔滔不絕的人

https://doi.org/10.1057/9780230306479result of the theory, due to N.N. Nekhoroshev ([5], [6]; see also [7], [8]): 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

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

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

燈泡

Hemiplegia

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. [R-D-G] forced a qualification of this conjecture, and counterexamples to that qualification have now appeared (e.g. see [K-CR]). Wi

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