ON COMPACT VIABLE SETS IN AFFNE IFS WITH COHERENT HYPERBOLIC STRUCTURE
Date
2014
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Valines SRL
Abstract
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.
Description
Keywords
Set-valued dynamics, iterated function systems, viable set, cone condition
Citation
GLAVAN, V., GUȚU, V. On compact viable sets in affne IFS with coherent hyperbolic structure. In: The Third Conference of Mathematical Society of the Republic of Moldova: dedicated to the 50th anniversary of the foundation of the Institute of Mathematics and Computer Science, 19-23 aug. 2014, Chisinau, Moldova: Proceedings IMCS-50.Ch., 2014, pp.199-202. ISBN 978-9975-68-244-2