Maslov index for Hamiltonian systems.
Portaluri, Alessandro (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Portaluri, Alessandro (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Stanisław Janeczko (1999)
Banach Center Publications
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One of the fundamental objectives of the theory of symplectic singularities is to study the symplectic invariants appearing in various geometrical contexts. In the paper we generalize the symplectic cohomological invariant to the class of generalized canonical mappings. We analyze the global structure of Lagrangian Grassmannian in the product symplectic space and describe the local properties of generic symplectic relations.
Claude Viterbo (1991)
Journées équations aux dérivées partielles
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Ole E. Barndorff-Nielsen, Peter E. Jupp (1997)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Audin, Michèle (2005)
Portugaliae Mathematica. Nova Série
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W. M. Tulczyjew (1977)
Annales de l'I.H.P. Physique théorique
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Stanisław Janeczko, Fernand Pelletier (2003)
Banach Center Publications
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The integrability condition for the Lagrangian implicit differential systems of (TP,ω̇), introduced in [7], is applied for the specialized control theory systems. The Pontryagin maximum principle was reformulated in the framework of implicit differential systems and the corresponding necessary and sufficient conditions were proved. The beginning of the classification list of normal forms for Lagrangian implicit differential systems according to the symplectic equivalence is provided...
I. Ekeland, H. Hofer (1987-1988)
Séminaire Équations aux dérivées partielles (Polytechnique)
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David T. Gay, Margaret Symington (2009)
Journal of the European Mathematical Society
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A near-symplectic structure on a 4-manifold is a closed 2-form that is symplectic away from the 1-dimensional submanifold along which it vanishes and that satisfies a certain transversality condition along this vanishing locus. We investigate near-symplectic 4-manifolds equipped with singular Lagrangian torus fibrations which are locally induced by effective Hamiltonian torus actions. We show how such a structure is completely characterized by a singular integral affine structure on...