Symplectic topology and hamiltonian dynamics
I. Ekeland, H. Hofer (1987-1988)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Displaying similar documents to “Conservation of integrals and symplectic structure in the integration of differential equations by multistep methods.”
Symplectic topology and hamiltonian dynamics
Symplectic Topology and Hamiltonian Dynamics II.
Helmut Hofer, Ivar Ekeland (1990)
Mathematische Zeitschrift
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Symplectic Topology and Hamiltonian Dynamics.
H. Hofer, I. Ekeland (1988/89)
Mathematische Zeitschrift
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Symplectic capacities in two dimensions.
Karl Friedrich Siburg (1993)
Manuscripta mathematica
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Symplectic embedding of thin discs into a ball
Takeo Nishinou (2004)
Mathematica Bohemica
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We perform symplectic embeddings of ‘thin’ discs into a small ball in arbitrary dimension, using the symplectic folding construction.
On Kazhdan's property (T) for Sp(k).
Bekka, M.B., Neuhauser, M. (2002)
Journal of Lie Theory
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Gromov's K-Area and Symplectic Rigidity.
L. Polterovich (1996)
Geometric and functional analysis
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Symplectic integration of Hamiltonian wave equations.
Robert McLachlan (1993/94)
Numerische Mathematik
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Symplectic Capacities in Manifolds
Alfred Künzle (1997)
Banach Center Publications
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Symplectic capacities coinciding on convex sets in the standard symplectic vector space are extended to any subsets of symplectic manifolds. It is shown that, using embeddings of non-smooth convex sets and a product formula, calculations of some capacities become very simple. Moreover, it is proved that there exist such capacities which are distinct and that there are star-shaped domains diffeomorphic to the ball but not symplectomorphic to any convex set.