Konu Başlığı (Title): Elements of Shadowing Theory in set valued Dynamics and How to simulate the construction of some kinds of fractals using computer
Tarih- Saat (Date- Hour): 09.05.2024 Perşembe – 10:30
Yer (Location): Matematik Bölümü Toplantı Salonu
Özet (Abstract): The talk is devoted to a generalization of Shadowing Theory in the set-valued dynamics for weak contracting relations, with some results for weak hyperbolic Iterated Function Systems. And the talk is devoted to the question which compacta can or cannot be represented as the attractors of a hyperbolic Iterated Function System and how many contractions are needed for this. Also, how to simulate the construction of some plane attractors for hyperbolic Iterated Function Systems, including fractals, especially for some kinds of IFS with condensation, using computers, is discussed. As example, the construction of The Pythagoras Tree is presented.