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Hamiltonian Mechanics : Integrability and Chaotic Behavior

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概要 This volume contains invited papers and contributions delivered at the International Conference on Hamiltonian Mechanics: Integrability and Chaotic Behaviour, held in Tornn, Poland during the summer o...f 1993. The conference was supported by the NATO Scientific and Environmental Affairs Division as an Advanced Research Workshop. In fact, it was the first scientific conference in all Eastern Europe supported by NATO. The meeting was expected to establish contacts between East and West experts as well as to study the current state of the art in the area of Hamiltonian Mechanics and its applications. I am sure that the informal atmosphere of the city of Torun, the birthplace of Nicolaus Copernicus, stimulated many valuable scientific exchanges. The first idea for this cnference was carried out by Prof Andrzej J. Maciejewski and myself, more than two years ago, during his visit in Greece. It was planned for about forty well-known scientists from East and West. At that time participation of a scientist from Eastern Europe in an Organising Committee of a NATO Conference was not allowed. But always there is the first time. Our plans for such a "small" conference, as a first attempt in the new European situation -the Europe without borders -quickly passed away. The names of our invited speakers, authorities in their field, were a magnet for many colleagues from all over the world.続きを見る
目次 Invited papers
Non-integrability criterion of Hamiltonian systems based on Ziglin's Theorem and its relation to the singular point analysis
Averaging under fast quasiperiodic forcing
Natural boundaries of normalizing transformations
Singular perturbation in Hamiltonian Mechanics
The structure of Chaos
From Integrability to Chaos: Examples of interrelations between physics and dynamics for minor bodies in the solar system
Successive elimination of harmonics: A way to explore the resonant structure of a Hamiltonian system
Periodic solutions of nonlinear Schrodinger equations and the Nash-Moser method
On the tendency toward ergodicity with increasing number of degrees of freedom in Hamiltonian systems
Gibbsian check of the validity of Gibbsian calculation through dynamical observables
Adiabatic invariants and time scales for energy sharing in models of classical gases
Numerical integration of Hamiltonian systems in the presence of additional integrals: Application of the observer method
Symmetries and topology of dynamical systems with two degrees of freedom
Contributed papers
Variational criteria for nonintegrability and chaos in Hamiltonian systems
Exponentially small splitting in Hamiltonian systems
Integrable and chaotic behaviour in the Paul trap and the hydrogen atom in a generalized van der Waals potential
Recent applications of Hamiltonian dynamics to accelerator physics
Singularity analysis of 2D complexified Hamiltonian systems
Perturbation theory for systems without global action-angle coordinates
A non-integrability test for perturbed Hamiltonian systems of two degrees of freedom
Librational invariant surfaces in the spin-orbit problem
Normalization of resonant Hamiltonians
Effective stability for periodically perturbed Hamiltonian systems
Bihamiltonian systems and Lax representation
An efficient method for computing periodic orbits of conservative dynamical systems
The dynamics of trace maps
Scars in groups of eigenfunctions
A model of Poincaré and rigorous proof of the second element of thermodynamics from mechanics
Nekhoroshev and KAM theorems revisited via a unified approach
Dynamics and k-symmetries
Quantal-classical mixed mode dynamics of coupled oscillators
The three-wave interaction of four waves revisited: A Lax pair and possibly general solution
Chaotic Friedman-Robertson-Walker Cosmology coupled to a real free massive scalar field in Maupertuis picture
The method of modular smoothing
Soliton chaos in elastic chains and turbulence
Stochastic webs with fourfold rotation symmetry
Antibrackets and supersymmetric Mechanics
Integrable systems and confocal quadrics
An elementary approach to integrability condition for the Euler equations on Lie algebra so(4)
Integrable Hamiltonian systems and Poisson actions with simple singular points
Dynamics and bifurcations in two-parameter unfolding of a Hamiltonian system with a homoclinic orbit to a saddle-center
Self-similar isomonodromy solutions of nonlinear Schrödinger equation
A method for visualizing the 4-dimensional space of section in 3-D Hamiltonian systems
Non-adiabatic aspects of time-dependent Hamiltonian systems
A study of a finite-dimensional dynamical system approximating the evolution of quantum averages.
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登録日 2020.06.27
更新日 2020.06.28