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Hamiltonian systems — 2 results found.

      
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On the existence of Hamiltonian paths connecting Lagrangian submanifolds
C. R. Math. Rep. Acad. Sci. Canada Vol. 30 (3) 2008, pp. 65–83
Nassif Ghoussoub; Abbas Moameni (Received: 2008/06/17)

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We use a new variational method—based on the theory of anti-selfdual Lagrangians developed recently—to establish the existence of solutions of convex Hamiltonian systems that connect two given Lagrangian submanifolds in \(\mathbb{R}^{2N}\). We also consider the case where the Hamiltonian is only semi-convex. A variational principle is also used to establish existence for the corresponding Cauchy problem.

Une nouvelle méthode variationnelle—basée sur la théorie des Lagrangiens auto-adjoints developée récemment—est utilisée pour établir l’existence de solutions de systèmes Hamiltoniens convexes, qui connectent deux sous-variétés Lagrangiennes données dans \(\mathbb{R}^{2N}\). On considère aussi le cas des Hamiltoniens semi-convexes, ainsi que le problème de Cauchy correspondant.

Hamiltonian mechanics on principal bundles
C. R. Math. Rep. Acad. Sci. Canada Vol. 21 (2) 1999, pp. 60–64
R. Cushman / J. Śniatycki (Received: 1999/02/05)

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algebraic number theory approximation property automorphisms Bessel functions Boson-fermion correspondence C*-algebra Carmichael number center problem Chebyshev transform classification Classification of simple C*-algebras composition operators continued fractions Cuntz Semigroup elliptic curves fixed point Fourier transform function fields. functoriality general relativity generic property ideals indefinite inner product inductive limits of sub-homogeneous C*- algebras Irrational rotation algebra J-Hermitian matrix K-theory Kahler manifolds L-functions maximal ideal space nonexpansive mapping numerical range orthogonal polynomials Predual space prime number property SP Renormalization rotation algebras Salem number semi-reciprocal polynomials tracially approximate splitting interval algebras unbounded traces uniqueness Weak Markov set Whitney problems

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