Characterization of chaos for continuous maps of the circle
Milan Kuchta (1990)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “A counterexample to a Fedorenko statement.”
Characterization of chaos for continuous maps of the circle
Periodic Solutions of Scalar Differential Equations without Uniqueness
Stanisław Sȩdziwy (2009)
Bollettino dell'Unione Matematica Italiana
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The note presents a simple proof of a result due to F. Obersnel and P. Omari on the existence of periodic solutions with an arbitrary period of the first order scalar differential equation, provided equation has an n-periodic solution with the minimal period n > 1.
Equicontinuity of iterates of circle maps.
Valaristos, Antonios (1998)
International Journal of Mathematics and Mathematical Sciences
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Periodic solutions of
Ráb, Miloš
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Periodic orbits of renormalisation for the correlations of strange nonchaotic attractors.
Mestel, B.D., Osbaldestin, A.H. (2000)
Mathematical Physics Electronic Journal [electronic only]
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The existence of periodic solutions of an autonomous second order non-linear differential equation
G. J. Butler (1974)
Annales Polonici Mathematici
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Localization of periodic orbits of autonomous systems based on high-order extremum conditions.
Starkov, Konstantin E. (2004)
Mathematical Problems in Engineering
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Inverse limits on intervals using unimodal bonding maps having only periodic points whose periods are all the powers of two
W. Ingram, Robert Roe (1999)
Colloquium Mathematicae
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We derive several properties of unimodal maps having only periodic points whose period is a power of 2. We then consider inverse limits on intervals using a single strongly unimodal bonding map having periodic points whose only periods are all the powers of 2. One such mapping is the logistic map, = 4λx(1-x) on [f(λ),λ], at the Feigenbaum limit, λ ≈ 0.89249. It is known that this map produces an hereditarily decomposable inverse limit with only three topologically different subcontinua....