Comment by the editors on the paper : “The hamiltonian formalism in higher order variational problems”
Comments On The Canonical Formalism Of Time-Dependent Higher Order Lagrangians.
Commutativity of flows and injectivity of nonsingular mappings
A relationship between jacobian maps and the commutativity properties of suitable couples of hamiltonian vector fields is studied. A theorem by Meisters and Olech is extended to the nonpolynomial case. A property implying the Jacobian Conjecture in ℝ² is described.
Compact symplectic four-dimensional manifolds not admitting polarizations
Complementary 2-forms of Poisson structures
Completely Integrable Hamiltonian Systems Connected with Semisimple Lie Algebras.
Complex entropy for dynamical systems
Complexification of proper hamiltonian -spaces
Computer simulation of magnetic phase portraits and geometric dynamics around piecewise rectilinear circuits.
Concavity of the Lagrangian for quasi-periodic orbits.
Conditions for integrability of a 3-form
We find necessary and sufficient conditions for the integrability of one type of multisymplectic 3-forms on a 6-dimensional manifold.
Conditions nécessaires et suffisantes d'existence de solutions en calcul des variations
Conley type index and Hamiltonian inclusions
This paper is based mainly on the joint paper with W. Kryszewski [Dzedzej, Z., Kryszewski, W.: Conley type index applied to Hamiltonian inclusions. J. Math. Anal. Appl. 347 (2008), 96–112.], where cohomological Conley type index for multivalued flows has been applied to prove the existence of nontrivial periodic solutions for asymptotically linear Hamiltonian inclusions. Some proofs and additional remarks concerning definition of the index and special cases are given.
Connecting orbits of time dependent Lagrangian systems
We generalize to higher dimension results of Birkhoff and Mather on the existence of orbits wandering in regions of instability of twist maps. This generalization is strongly inspired by the one proposed by Mather. However, its advantage is that it contains most of the results of Birkhoff and Mather on twist maps.
Connexions hétéroclines et généricité d'une infinité de puits et de sources
Conservation of integrals and symplectic structure in the integration of differential equations by multistep methods.
Constrained lagrangian submanifolds over singular constraining varieties and discriminant varieties
Constructibilité des solutions des systèmes microdifférentiels
Contact geometry and complex surfaces.
Contact hamiltonians distinguishing locally certain Goursat systems
For the first time in dimension 9, the Goursat distributions are not locally smoothly classified by their small growth vector at a point. As shown in [M1], in dimension 9 of the underlying manifold 93 different local behaviours are possible and four irregular pairs of them have coinciding small growth vectors. In the present paper we distinguish geometrically objects in three of those pairs. Smooth functions in three variables - contact hamiltonians in the terminology of Arnold, [A] - help to do...