Some qualitative problems in the theory of second order partial differential equations
Some remarks about strong proximality of compact flows
This note aims at providing some information about the concept of a strongly proximal compact transformation semigroup. In the affine case, a unified approach to some known results is given. It is also pointed out that a compact flow (X,𝓢) is strongly proximal if (and only if) it is proximal and every point of X has an 𝓢-strongly proximal neighborhood in X. An essential ingredient, in the affine as well as in the nonaffine case, turns out to be the existence of a unique minimal subset.
Some remarks concerning stable attractors
Some results on continuous flows
Spectra of finitely generated Boolean flows.
Spectral properties of G-symbolic Morse shifts
Stability and asymptotic stability in impulsive semidynamical systems.
Stability of Jungck-type iterative procedures.
Stable P an distal dynamical systems.
Strict Uniformity in Ergodic Theory.
Strictly ergodic Toeplitz flows with positive entropies and trivial centralizers
A class of strictly ergodic Toeplitz flows with positive entropies and trivial topological centralizers is presented.
Strictly ergodic, uniform positive entropy models
Striped structures of stable and unstable sets of expansive homeomorphisms and a theorem of K. Kuratowski on independent sets
We investigate striped structures of stable and unstable sets of expansive homeomorphisms and continuum-wise expansive homeomorphisms. The following theorem is proved: if f : X → X is an expansive homeomorphism of a compact metric space X with dim X > 0, then the decompositions and of X into stable and unstable sets of f respectively are uncountable, and moreover there is σ (= s or u) and ϱ > 0 such that there is a Cantor set C in X with the property that for each x ∈ C, contains a nondegenerate...
Structure of certain closed flows
Subcontinua of inverse limit spaces of unimodal maps
We discuss the inverse limit spaces of unimodal interval maps as topological spaces. Based on the combinatorial properties of the unimodal maps, properties of the subcontinua of the inverse limit spaces are studied. Among other results, we give combinatorial conditions for an inverse limit space to have only arc+ray subcontinua as proper (non-trivial) subcontinua. Also, maps are constructed whose inverse limit spaces have the inverse limit spaces of a prescribed set of periodic unimodal maps as...
Subshifts of Finite Type and Sofic Systems.
Suites à termes dans un alphabet fini
Sur la construction de mesures selles
Nous construisons des mesures selles (dans un sens faible) pour les endomorphismes holomorphes de .
Sur la répartition des orbites de certains systèmes dynamiques .
Sur les solutions globales de l'équation des cocycles.