Multiple homoclinic orbits for a class of conservative systems
Multiple orbits for hamiltonian systems on starshaped surfaces with symmetries
Multiple periodic solutions to a suspension bridge O. D. E.
Multiple solutions for a class of -Laplacian systems.
Multiple solutions of the forced double pendulum equation
Multiplicity of Subharmonic solutions of Forces Hamiltonian systems near an equilibrium.
Multi-time sprays and -traceless maps on .
Multivector fields and connections. Applications to field theories.
Se estudia la integrabilidad de campos multivectoriales en variedades diferenciables y la relación entre algunos tipos de campos multivectoriales en un fibrado de jets y conexiones en dicho fibrado. Como caso particular se relacionan los campos multivectoriales integrables y las conexiones cuyas secciones integrales son holonómicas. Como aplicación de todo ello, estos resultados permiten escribir las ecuaciones de campo de las teorías clásicas de campos de primer orden en varias formas equivalentes....
-body problem in : necessary conditions for a constant configuration measure.
Nambu-Lie group actions.
Nekhoroshev estimates for quasi-convex hamiltonian systems.
Nelineární vynucené oscilace
Neutral wrenches of 3-parametric robot-manipulators of the spherical rank 1
Let be the Lie group of all Euclidean motions in the Euclidean space , let be its Lie algebra and the space dual to . This paper deals with structures of the subspaces of which are formed by all the forces whose power exerted on the robot effector is zero.
New semi-Hamiltonian hierarchy related to integrable magnetic flows on surfaces
We consider magnetic geodesic flows on the two-torus. We prove that the question of existence of polynomial in momenta first integrals on one energy level leads to a semi-Hamiltonian system of quasi-linear equations, i.e. in the hyperbolic regions the system has Riemann invariants and can be written in conservation laws form.
New trends in mechanics. I. Generalized differential variational principles in rational mechanics.
New variational principle and duality for an abstract semilinear Dirichlet problem
A new variational principle and duality for the problem Lu = ∇G(u) are provided, where L is a positive definite and selfadjoint operator and ∇G is a continuous gradient mapping such that G satisfies superquadratic growth conditions. The results obtained may be applied to Dirichlet problems for both ordinary and partial differential equations.
Noether theorem and first integrals of constrained Lagrangean systems
The dynamics of singular Lagrangean systems is described by a distribution the rank of which is greater than one and may be non-constant. Consequently, these systems possess two kinds of conserved functions, namely, functions which are constant along extremals (constants of the motion), and functions which are constant on integral manifolds of the corresponding distribution (first integrals). It is known that with the help of the (First) Noether theorem one gets constants of the motion. In this...
Noether transformations with vanishing conserved quantity
Noether’s theorem for a fixed region
We give an elementary proof of Noether's first Theorem while stressing the magical fact that the global quasi-symmetry only needs to hold for one fixed integration region. We provide sufficient conditions for gauging a global quasi-symmetry.
Non linear stability of spherical gravitational systems described by the Vlasov-Poisson equation
In this work, we prove the nonlinear stability of galaxy models derived from the three dimensional gravitational Vlasov Poisson system, which is a canonical model in astrophysics to describe the dynamics of galactic clusters.