Some aspects of finite-dimensional Hamiltonian dynamics

  • D. V. Treschev
Part of the NATO Science for Peace and Security Series book series (NAPSB)

These lectures touch upon two aspects of Hamiltonian mechanics. The first one (geometric) establishes fundamental role of symplectic geometry as the language of Hamiltonian mechanics. The second aspect (dynamical) exhibits the main problem in the domain, which is the interplay between regular and chaotic motion.


Hamiltonian System Poisson Bracket Symplectic Manifold Symplectic Structure Hamiltonian Dynamic 
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    Arnold, V. I., Kozlov, V. V., Neishtadt, A. I. Mathematical aspects of classical and celestial mechanics. Encyclopaedia Math. Sci., 3, Springer, Berlin, 1993. Springer, Berlin, 1997.Google Scholar

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© Springer Science + Business Media B.V 2008

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  • D. V. Treschev

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