Science/Engineering Symplectic Invariants and Hamiltonian Dynamics (3764350660)

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H. Hofer, & E. Zehnder,«Symplectic Invariants and Hamiltonian Dynamics»

& 8220;The discoveries of the last decades have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: sympletic topology. Surprising rigidity phenomena demonstrate that the nature of sympletic mappings is very different from that of volume preserving mappings. On the other hand, analysis of an old variational principle in classical mechanics has established global periodic phenomena in Hamiltonian systems. One of the links is a class of sympletic invariants, called sympletic capacities. These invariants are the main theme of this book, which includes such topics as basic sympletic geometry, sympletic capacities and rigidity, periodic orbits for Hamiltonian systems and the action principle, a bi-invariant metric on the sympletic diffeomorphism group and its geometry, sympletic fixed point theory, the Arnold conjectures and first order elliptic systems, and finally a survey on Floer homology and sympletic homology.& 8221;

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	Science/Engineering Classical Mechanics: Systems of Particles and Hamiltonian Dynamics Classical Mechanics: Systems of Particles and Hamiltonian Dynamics Publisher: Springer \| Pages: 568 \| 2002-10-01 \| ISBN 0387951288 \| DJVU \| 4 MBThe series of texts on Classical Theoretical Physics is based on the highly successful s ...
	Study Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics Marco Pettini "Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics"Springer \| 2007-07-13 \| ISBN: 038730892X \| 459 pages \| PDF \| 6 MBThis book explores the foundations of hamiltonian dynamical systems and statistical mech ...
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	Nonfiction Introduction to Symplectic and Hamiltonian Geometry This text covers foundations of symplectic geometry in a modern language. We start by describing symplectic manifolds and their transformations, and by explaining connections to topology and other geometries. Next we study hamiltonian field ...
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	Science/Engineering Classical Mechanics: Systems of Particles and Hamiltonian Dynamics Classical Mechanics: Systems of Particles and Hamiltonian Dynamics Publisher: Springer \| Pages: 568 \| 2002-10-01 \| ISBN 0387951288 \| DJVU \| 4 MBThe series of texts on Classical Theoretical Physics is based on the highly successful s ...
	Study Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics Marco Pettini "Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics"Springer \| 2007-07-13 \| ISBN: 038730892X \| 459 pages \| PDF \| 6 MBThis book explores the foundations of hamiltonian dynamical systems and statistical mech ...
	Science/Engineering Symplectic Geometry of Integrable Hamiltonian Systems Michèle Audin, Ana Cannas da Silva, Eugene Lerman, "Symplectic Geometry of Integrable Hamiltonian Systems" Birkhäuser Basel \| 2004 \| ISBN: 3764321679 \| 240 pages \| PDF \| 4,1 MB Among all the Hamiltonian systems, the alics integrable one ...
	Simulating Hamiltonian Dynamics Simulating Hamiltonian Dynamics Publisher: Cambridge University Press \| ISBN: 0521772907 \| edition 2005 \| PDF \| 379 pages \| 10,6 mbThe simulation of matter by direct computation of individual atomic motions has become an important element ...
	Nonfiction Introduction to Symplectic and Hamiltonian Geometry This text covers foundations of symplectic geometry in a modern language. We start by describing symplectic manifolds and their transformations, and by explaining connections to topology and other geometries. Next we study hamiltonian field ...
	Physics Hamiltonian Chaos and Fractional Dynamics George M. Zaslavsky ¡°Hamiltonian Chaos and Fractional Dynamics" Oxford University Press, USA \| 2005-02-04 \| ISBN: 0198526040 \| 436 pages \| PDF \| 15,6 MB The dynamics of realistic Hamiltonian systems has unusual microscopic features t ...

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