Titlebook: Hamiltonian Mechanics; Integrability and Ch John Seimenis Book 1994 Springer Science+Business Media New York 1994 Hamiltonian.Potential.bif

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The Structure of Chaosow certain rules that allow predictions of their structure. When the energy becomes larger than the escape energy there are some “limiting asymptotic curves” defining the regions of escape. When there are no escapes the asymptotic curves become longer as the energy increases and produce an infinity

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From Integrability to Chaos: Examples of Interrelations between Physics and Dynamics for Minor Bodiefundamental..Due to their relatively small size, asteroids are mostly primordial (i.e. they have not been affected by geological processes) and therefore can give us essential information on the physical properties of the primitive matter in the solar system. Among asteroids, those belonging to the

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Successive Elimination of Harmonics: A way to Explore the Resonant Structure of a Hamiltonian Systemg in successively eliminating all the perturbation harmonics up to a given order. Here the elimination is performed via the introduction of suitable Arnold action-angle variables, along the lines of the well known theorem of Arnold (1963b), with numerical evaluation of the action integrals. More pre

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Adiabatic Invariants and Time Scales for Energy Sharing in Models of Classical Gasesroshev-like exponential laws — to classical statistical mechanics. On the other hand, I would like to revisit some ideas of distinguished physicists, like Jeans and Landau, who long time ago, much before modern perturbation theory, introduced exponential laws in connection with problems of adiabatic

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Recent Applications of Hamiltonian Dynamics to Accelerator PhysicsTurchetti, 1990): indeed, both analytical tools and reliable numerical methods are required to design future accelerators. The standard numerical approach is based on the concept of symplectic transfer maps (Iselin and Niederer, 1988; Schmidt, 1990); the corresponding analytical tool is the theory o