Nonabsolutely Continuous Foliations for an Anosov Diffeomorphism.
Non-accessible critical points of certain rational functions with Cremer points.
Non-accumulation de cycles limites
Nonarchimedean dynamical systems
Non-autonomous 2D Navier–Stokes system with a simple global attractor and some averaging problems
We study the global attractor of the non-autonomous 2D Navier–Stokes system with time-dependent external force . We assume that is a translation compact function and the corresponding Grashof number is small. Then the global attractor has a simple structure: it is the closure of all the values of the unique bounded complete trajectory of the Navier–Stokes system. In particular, if is a quasiperiodic function with respect to , then the attractor is a continuous image of a torus. Moreover the...
Non-autonomous 2D Navier–Stokes system with a simple global attractor and some averaging problems
We study the global attractor of the non-autonomous 2D Navier–Stokes system with time-dependent external force g(x,t). We assume that g(x,t) is a translation compact function and the corresponding Grashof number is small. Then the global attractor has a simple structure: it is the closure of all the values of the unique bounded complete trajectory of the Navier–Stokes system. In particular, if g(x,t) is a quasiperiodic function with respect to t, then the attractor is a continuous image...
Nonautonomous attractors of skew-product flows with digitized driving systems.
Nonautonomous dynamical systems and associated fields. (Systèmes dynamiques nonautonomous et des champs associés.)
Nonclassical approximate symmetries of evolution equations with a small parameter.
Non-collision orbits for a class of keplerian-like potentials
Non-collision solutions for a second order singular hamiltonian system with weak force
Noncommutative algebras for hyperbolic diffeomorphisms.
Noncommutative root space Witt, Ricci flow, and Poisson bracket continual Lie algebras.
Nonconventional limit theorems in averaging
We consider “nonconventional” averaging setup in the form , where , is either a stochastic process or a dynamical system with sufficiently fast mixing while , and , grow faster than linearly. We show that the properly normalized error term in the “nonconventional” averaging principle is asymptotically Gaussian.
Nondegenerate systems and generic properties of the integrable Hamiltonian systems
Non-embeddability of general unipotent diffeomorphisms up to formal conjugacy
The formal class of a germ of diffeomorphism is embeddable in a flow if is formally conjugated to the exponential of a germ of vector field. We prove that there are complex analytic unipotent germs of diffeomorphisms at () whose formal class is non-embeddable. The examples are inside a family in which the non-embeddability is of geometrical type. The proof relies on the properties of some linear functional operators that we obtain through the study of polynomial families of diffeomorphisms...
Nonergodic actions, cocycles and superrigidity.
Non-existence criteria for Laurent polynomial first integrals.
Non-existence of absolutely continuous invariant probabilities for exponential maps
We show that for entire maps of the form z ↦ λexp(z) such that the orbit of zero is bounded and Lebesgue almost every point is transitive, no absolutely continuous invariant probability measure can exist. This answers a long-standing open problem.
Nonfibered knots and representation shifts
A conjecture of [swTAMS] states that a knot is nonfibered if and only if its infinite cyclic cover has uncountably many finite covers. We prove the conjecture for a class of knots that includes all knots of genus 1, using techniques from symbolic dynamics.