Browsing by Author "Guțu, Valeriu"

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    ATTRACTORS IN AFFINE DIFFERENTIAL SYSTEMSWITH IMPULSIVE CONTROL
    (Institutul de Matematică şi Informatică al AŞM, 2008) Guțu, Valeriu
    In this paper we prove that an asymptotic equilibrium of an affine systemof differential equations can become a strange attractor under affine impulsive control.The linear oscillator is studied as example.
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    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.
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    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.