Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On the attractors of weakly hyperbolic IFS's with condensation
Authors: Vasile Glavan, Valeriu Guțu
Keywords: Iterated Function Systems, weak contractions, attractors, convex sets
– 0.93 Mb
Keywords: Iterated Function Systems, weak contractions, attractors, convex sets
Abstract
We show that for any weakly hyperbolic IFS with condensation in $\mathbb{R}^n$ whose condensation set is a union of a finite collection of convex compact sets, there exists a standard weakly hyperbolic IFS with the same attractor.Vasile Glavan
1Moldova State University,
Vladimir Andrunachievici Institute of Mathematics and
Computer Science,
Str. A. Mateevici, 60,
2009 Chisinau, Republic of Moldova
2University of Siedlce, Institute of Mathematics,
Str. Konarskiego, 2,
08-110 Siedlce, Poland
E-mail:
Valeriu Guțu
Moldova State University,
Department of Mathematics,
Str. A. Mateevici, 60,
2009 Chisinau, Republic of Moldova
E-mail: ,
1Moldova State University,
Vladimir Andrunachievici Institute of Mathematics and
Computer Science,
Str. A. Mateevici, 60,
2009 Chisinau, Republic of Moldova
2University of Siedlce, Institute of Mathematics,
Str. Konarskiego, 2,
08-110 Siedlce, Poland
E-mail:
Valeriu Guțu
Moldova State University,
Department of Mathematics,
Str. A. Mateevici, 60,
2009 Chisinau, Republic of Moldova
E-mail: ,
DOI
https://doi.org/10.56415/basm.y2024.i1-2.p100Fulltext
– 0.93 Mb
Contents
- Professor Boris Șcerbacov - 100th anniversary
- Metrically piecewise continuous p-almost periodic functions and applications
- Poisson Stable Solutions of Semi-Linear Differential Equations
- Asymptotic behaviour of non-autonomous Caputo fractional differential equations with a one-sided dissipative vector field
- The comparability of motions in dynamical systems and recurrent solutions of (S)PDEs
- The family of cubic differential systems with two real and two complex distinct infinite singularities and invariant straight lines of the type (2,2,2)
- On the attractors of weakly hyperbolic IFS's with condensation
- An optimality criterion for disjoint bilinear programming and its application to the problem with an acute-angled polytope for a disjoint subset
- Completeness of the factor group of a complete topological Abelian group by a discrete subgroup
- Remembering Professor B. A. Shcherbakov (1924-2017)
