An Analytical Study of Bifurcations Generated by Some Iterated Function Systems |
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| Affiliation: | 1. Department of Clinical Microbiology, Rigshospitalet, 2100 Copenhagen, Denmark;2. Department of Immunology and Microbiology, Costerton Biofilm Center UC-CARE, Faculty of Health Sciences, University of Copenhagen, 2200 Copenhagen, Denmark;3. Biomedical Engineering, Department of Electrical Engineering, Technical University of Denmark, 2800 Lyngby, Denmark;4. Biomedical Engineering, Department of Health Technology, Technical University of Denmark, 2800 Lyngby, Denmark |
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| Abstract: | In a recent paper Bahar [Chaos, Solitons + Fractals, 1996, 7(1), 41] described bifurcation from a fixed point generated by iterated function systems. An analytical study of it, by using Banach theorem, was proposed by us in Chaos, Solitons + Fractals, 1998, 9(3), 449. 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.© 1999 Elsevier Science Ltd. All rights reserved. |
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