Chaotic orbits and bifurcation from a fixed point generated by an iterated function system

DOI10.1016/0960-0779(94)00219-GzbMath0912.58019WikidataQ126780515 ScholiaQ126780515MaRDI QIDQ1129381

Sonya Bahar

Publication date: 25 May 1999

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

fixed pointbifurcationiterated function systemchaotic attractorperiod doubling

Mathematics Subject Classification ID

Topological dynamics (37B99) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (7)

An analytical study of bifurcations generated by some iterated function systems ⋮ Some considerations on the bifurcation of the fixed point generated by iterated function systems ⋮ Fractal properties of interpolatory subdivision schemes and their application in fractal generation ⋮ Generalized IFSs on noncompact spaces ⋮ Chaotic attractors generated by iterated function systems: `harmonic decompositions' and the onset of chaos ⋮ Further studies of bifurcations and chaotic orbits generated by iterated function systems. ⋮ Patterns of bifurcation in iterated function systems.

Cites Work

• Unnamed Item
• Smooth interpolating curves and surfaces generated by iterated function systems
• Iterated function systems and the global construction of fractals
• Solution of an inverse problem for fractals and other sets
• Random Affine Iterated Function Systems: Curve Generation and Wavelets
• Classification of strange attractors by integers

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