논문KCI 등재
THE EXTENDED REAL LINE AS A JULIA SET
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참고문헌
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초록
A recursive family {Fn} of holomorphic functions on the Riemann sphere is defined and some elementary properties of this family is described. Then the Julia set of Fn is computed. Finally this family as a real recursive family is studied and it is shown that Fn is chaotic on a specific subset of R.
Abstract
A recursive family {Fn} of holomorphic functions on the Riemann sphere is defined and some elementary properties of this family is described. Then the Julia set of Fn is computed. Finally this family as a real recursive family is studied and it is shown that Fn is chaotic on a specific subset of R.
참고문헌 (4)
- A. F. Beardon, "Iteration of Rational Functions" (1991)
- R. Devaney, "An Introduction to Chaotic Dynamical Systems" (1989), Addison-Wesley
- J. Milnor, "Pasting together Julia sets: A worked out example of mating", Experiment. Math, 13(1), pp.55~92 (2004)
- J. Milnor, "Dynamics in One Complex Variable" (2006), Princeton University Press
관련 논문AI추천
INTERSECTION OF THE DEGREE-n BIFURCATION SETWITH THE REAL LINE금영희, 김영익한국수학교육학회 · 이론수학과 교직수학2002 · 제9권 제2호FRACTALS OF MANDELBROT AND JULIA SETS OF E2(z)강정욱, 유천성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제1호A class of M\"{o}bius iterated function systemsAli Deniz, Gokce Cakmak, Sahin Kocak대한수학회 · 대한수학회논문집2020 · 제35권 제3호Regular branched covering spaces and chaotic maps on the Riemann sphereJoo Sung Lee대한수학회 · 대한수학회논문집2004 · 제19권 제3호Dynamics of transcendental entire functions with Siegel disks and its applicationsKoh Katagata대한수학회 · 대한수학회보2011 · 제48권 제4호Blaschke products and rational functions with Siegel disksKoh Katagata대한수학회 · 대한수학회지2009 · 제46권 제1호
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