-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.
Non singular Hamiltonian systems and geodesic flows on surfaces with negative curvature.
We extend here results for escapes in any given direction of the configuration space of a mechanical system with a non singular bounded at infinity homogeneus potential of degree -1, when the energy is positive. We use geometrical methods for analyzing the parallel and asymptotic escapes of this type of systems. By using Riemannian geometry methods we prove under suitable conditions on the potential that all the orbits escaping in a given direction are asymptotically parallel among themselves. We...
Nonautonomous dynamical systems and associated fields. (Systèmes dynamiques nonautonomous et des champs associés.)
Non-collision solutions for a class of planar singular Lagrangian systems.
Noncommutative Lagrange mechanics.
Non-complete integrability of a satellite in circular orbit.
Non-cooperative game approach to multi-robot planning
A multi-robot environment with a STRIPS representation is considered. Under some assumptions such problems can be modelled as a STRIPS language (for instance, a Block World environment) with one initial state and a disjunction of goal states. If the STRIPS planning problem is invertible, then it is possible to apply the machinery for planning in the presence of incomplete information to solve the inverted problem and then to find a solution to the original problem. In the paper a planning algorithm...
Non-decomposable Nambu brackets
It is well-known that the Fundamental Identity (FI) implies that Nambu brackets are decomposable, i.e. given by a determinantal formula. We find a weaker alternative to the FI that allows for non-decomposable Nambu brackets, but still yields a Darboux-like Theorem via a Nambu-type generalization of Weinstein’s splitting principle for Poisson manifolds.
Non-holonomic mechanical systems in jet bundles.
In this paper we present a geometrical formulation for Lagrangian systems subjected to non-holonomic constraints in terms of jet bundles. Cosymplectic geometry and almost product structures are used to obtained the constrained dynamics without using Lagrange multipliers method.