On unimodal maps with critical order 2 + ε
Simin Li, Weixiao Shen (2006)
Fundamenta Mathematicae
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It is proved that a smooth unimodal interval map with critical order 2 + ε has no wild attractor if ε >0 is small.
Simin Li, Weixiao Shen (2006)
Fundamenta Mathematicae
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It is proved that a smooth unimodal interval map with critical order 2 + ε has no wild attractor if ε >0 is small.
A. M. Blokh, M. Yu. Lyubich (1989)
Banach Center Publications
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O. Kozlovski, D. Sands (2009)
Fundamenta Mathematicae
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We introduce an infinite sequence of higher order Schwarzian derivatives closely related to the theory of monotone matrix functions. We generalize the classical Koebe lemma to maps with positive Schwarzian derivatives up to some order, obtaining control over derivatives of high order. For a large class of multimodal interval maps we show that all inverse branches of first return maps to sufficiently small neighbourhoods of critical values have their higher order Schwarzian derivatives...
Dinh The Luc, Schaible, S. (1996)
Journal of Convex Analysis
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Kozlovski, O.S. (2000)
Annals of Mathematics. Second Series
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Blokh, A., Coven, E., Misiurewicz, Michał, Nitecki, Zbigniew (1991)
Acta Mathematica Universitatis Comenianae. New Series
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Andrzej Smajdor (2006)
Annales Polonici Mathematici
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We define absolutely monotone multifunctions and prove their analyticity on an interval [0,b).
Jeyakumar, V., Luc, D.T., Schaible, S. (1998)
Journal of Convex Analysis
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Franz Hofbauer (2011)
Fundamenta Mathematicae
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Martin Gavalec, Ján Plavka (2010)
Kybernetika
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The interval eigenproblem in max-min algebra is studied. A classification of interval eigenvectors is introduced and six types of interval eigenvectors are described. Characterization of all six types is given for the case of strictly increasing eigenvectors and Hasse diagram of relations between the types is presented.
Kvinikadze, G. (1999)
Memoirs on Differential Equations and Mathematical Physics
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Lj. Kočinac (1991)
Matematički Vesnik
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Glen Richard Hall (1989)
Banach Center Publications
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Michael Yampolsky (2003)
Publications Mathématiques de l'IHÉS
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de Melo, W. (1998)
Documenta Mathematica
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