Cycles of distance-decreasing mappings in the ring of n-adic integers
We give a description of possible sets of cycle lengths for distance-decreasing maps and isometries of the ring of n-adic integers.
Cycles of links and fixed points for orientation preserving homeomorphisms of the open unit disk
Michael Handel proved the existence of a fixed point for an orientation preserving homeomorphism of the open unit disk that can be extended to the closed disk, provided that it has points whose orbits form an oriented cycle of links at infinity. More recently, the author generalized Handel's theorem to a wider class of cycles of links. In this paper we complete this topic describing exactly which are all the cycles of links forcing the existence of a fixed point.
Cycles of monomial and perturbated monomial -adic dynamical systems
Cycles of polynomial mappings in several variables.
Cycles of polynomial mappings in several variables over rings of integers in finite extensions of the rationals
Cycles of polynomials in algebraically closed fields of positive characteristic
Cycles of polynomials in algebraically closed fields of positive characteristic (II)
Cyclic approximation to stasis.
Cyclic coverings of abelian varities and the Goryachev-Chaplygin top.
Cyclic invariant sets for one class of maps.
Cyclicité finie des polycycles hyperboliques de champs de vecteurs du plan. Algorithme de finitude
Utilisant le Théorème de Normalisation de Mourtada (Lect. Notes. in Math., no 1445, pp. 272-314), on montre que les polycycles hyperboliques et génériques sont de cyclicité finie dans les familles de champs de vecteurs du plan. Ceci implique que le 16e problème de Hilbert est localement vrai sur un ouvert dense dans l’espace des champs de vecteurs polynomiaux du plan de degré .
Cylinder cocycle extensions of minimal rotations on monothetic groups
The main results of this paper are: 1. No topologically transitive cocycle -extension of minimal rotation on the unit circle by a continuous real-valued bounded variation ℤ-cocycle admits minimal subsets. 2. A minimal rotation on a compact metric monothetic group does not admit a topologically transitive real-valued cocycle if and only if the group is finite.