𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An Analytical Study of Bifurcations Generated by Some Iterated Function Systems

✍ Scribed by Steliana Codreanu; Laszlo Matyas

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
248 KB
Volume
10
Category
Article
ISSN
0960-0779

No coin nor oath required. For personal study only.

✦ Synopsis

In a recent paper Bahar ðChaos\ Solitons + Fractals\ 0885\ 6"0#\ 30Ł described bifurcation from a _xed point generated by iterated function systems[ An analytical study of it\ by using Banach theorem\ was proposed by us in Chaos\ Solitons + Fractals\ 0887\ 8"2#\ 338[ In this paper we present an extension of our previous study and we prove that by a special transformation\ the considered two!dimensional map can be reduced to two distinctive one!dimensional maps\ such that each one determines the behavior of the entire system[ Þ 0888 Elsevier Science Ltd[ All rights reserved

πŸ“œ SIMILAR VOLUMES

Chaotic attractors generated by iterated
Chaotic attractors generated by iterated function systems: β€˜Harmonic decompositions’ and the onset of chaos
✍ Sonya Bahar πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 490 KB

We describe the onset of chaos in iterated function systems (IFS) with time-dependent forcing terms. It is shown that random selection of transformations in the IFS is essential for the gene&n of a chaotic attractor. Ordered selections of transformations generate closed orbits which may he used to c