Facultatea de Matematică şi Informatică / Faculty of Methematics and Informatics

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ON STRONG STABILITY OF LINEAR POISSON ACTIONS
(Institutul de Matematică şi Informatică al AŞM, 2003) Glavan, Vasile; Rzeszotko, Z.
Linear Poisson actions of the groupRmare considered. Conditions on thejoint spectrum of the generators and on the centralizers assuring stability and strongstability of the action are given. We give also some examplesof Poisson actions usingCAS”Mathematica”.
TOPOLOGICAL MIXING AND SPECIFICATION IN WEAKLY CONTRACTING RELATIONS
(CEP USM, 2017) Glavan, Vasile; Guțu, Valeriu
We establish topological mixing and Specification property ofthe dynamics of a weakly contracting compact-valued function on its attractor. These properties strengthen our earlier results,obtained for weakly contracting relations, namely, the topological transitivity and Shadowing property.
ON COMPACT VIABLE SETS IN AFFNE IFS WITH COHERENT HYPERBOLIC STRUCTURE
(Valines SRL, 2014) Glavan, Vasile; Guțu, Valeriu
Viable sets in multi-valued dynamics, generated by finite families of mappings, are considered. In the case of affine Iterated Function Systems with coherent hyperbolic structure the existence of compact viable sets is stated, and some topological characteristics of these sets are given.