On the structure of covers of sofic shifts.
On the structure of homeomorphisms of the open annulus
Let be a without fixed point lift to the plane of a homeomorphism of the open annulus isotopic to the identity and without wandering point. We show that admits a -invariant dense open set on which it is conjugate to a translation and we study the action of on the compactly connected components of the closed and without interior set .
On the structure of minimal attraction centers of recurrent trajectories of continuous maps of the interval.
On the structure of the space of continuous maps with zero topological entropy
On the structure of the totally ordered set of unimodal cycles.
On the Symplectic Structure of Coadjoint Orbits of (Solvable) Lie Groups and Applications. I.
On the Time Evolution of Statistical States for Anosov Systems.
On the topological charge conservation in the three-dimensional -model.
A field of three-component unit vectors on the dimensional spacetime is considered. Two field configurations with different values of the topological charge cannot be connected by the path of field configurations with a finite Euclidean action. Therefore there is no transition between them. The initial and final configurations are assumed to be continuous at infinity. The asymptotic behaviour of intermediate configurations may be arbitrary. The proof is based on the properties of the degree of...
On the topological dynamics and phase-locking renormalization of Lorenz-like maps
The aim of this paper is twofold. First we give a characterization of the set of kneading invariants for the class of Lorenz–like maps considered as a map of the circle of degree one with one discontinuity. In a second step we will consider the subclass of the Lorenz– like maps generated by the class of Lorenz maps in the interval. For this class of maps we give a characterization of the set of renormalizable maps with rotation interval degenerate to a rational number, that is, of phase–locking...
On the topological equivalence between Anosov flows on the three-manifolds.
On the topology of an integrable variant of a nonholonomic Suslov problem
On the topology of solenoidal attractors of the cylinder
On the transitive and -limit points of the continuous mappings of the circle
We extend the recent results from the class of continuous maps of the interval to the class of continuous maps of the circle. Among others, we give a characterization of -limit sets and give a characterization of sets of transitive points for these maps.
On the transversal distribution and the complete figure in the second order multiple integral problem in the calculus of variations.
On the unique continuation property for a nonlinear dispersive system.
On the uniqueness of equilibrium states for piecewise monotone mappings
On the uniqueness of maximal operators for ergodic flows.
The uniqueness theorem for the ergodic maximal operator is proved in the continous case.
On the uniqueness of the fixed point index on differentiable manifolds.
On the uniqueness of the uncentered ergodic maximal function
It is shown that if two functions share the same uncentered (two-sided) ergodic maximal function, then they are equal almost everywhere.
On the unstable directions and Lyapunov exponents of Anosov endomorphisms
Unlike in the invertible setting, Anosov endomorphisms may have infinitely many unstable directions. Here we prove, under the transitivity assumption, that an Anosov endomorphism of a closed manifold M is either special (that is, every x ∈ M has only one unstable direction), or for a typical point in M there are infinitely many unstable directions. Another result is the semi-rigidity of the unstable Lyapunov exponent of a codimension one Anosov endomorphism that is C¹-close to a linear endomorphism...