A "Birkhoff-Lewis" type result for a class of Hamiltonian systems.
A Bound for the Fixed-Point Index of an Area-Preserving Map with Applications to Mechanics.
A characterization of tangent and stable tangent bundles
A deterministic displacement theorem for Poisson processes.
A direct proof of a theorem by Kolmogorov in hamiltonian systems
A first-order canonical set of generalized Jacobi-type variables for hyperbolic orbital motion.
A geometric approach to a result of Benci and Giannoni for Hamiltonian systems with singular potentials.
A geometric setting for classical molecular dynamics
A KAM-theorem for some nonlinear partial differential equations
A new degree for -invariant gradient mappings and applications
A new obstruction to embedding Lagrangian tori.
A note on uniqueness of Cauchy problems associated to planar Hamiltonian systems.
A property of connections of mechanical systems of higher order
A realistic exponential estimate for a paradigm hamiltonian
A singular lagrangian model for N-body relativistic interactions
A symplectic fixed point theorem for ...Cpn.
A Symplectic Rigidity Theorem.
A Viterbo-Hofer-Zehnder type result for hamiltonian inclusions
Abelian integrals of quadratic Hamiltonian vector fields with an invariant straight line.
We prove that the lowest upper bound for the number of isolated zeros of the Abelian integrals associated to quadratic Hamiltonian vector fields having a center and an invariant straight line after quadratic perturbations is one.
Abelian integrals related to Morse polynomials and perturbations of plane hamiltonian vector fields
Let be the real vector space of Abelian integralswhere is a fixed real polynomial, is an arbitrary real polynomial and , , is the interior of the oval of which surrounds the origin and tends to it as . We prove that if is a semiweighted homogeneous polynomial with only Morse critical points, then is a free finitely generated module over the ring of real polynomials , and compute its rank. We find the generators of in the case when is an arbitrary cubic polynomial. Finally we...