Publications of Sergii Kolyada

S e l e c t e d P u b l i c a t i o n s

13 Papers Categorized by Topics (a list of publications can be found here )

Topological

Dynamics

Some aspects of topological transitivity - a survey (with L. Snoha), Proc. ECIT-94, Grazer Math. Ber., 334, 1997, 3-35

Noninvertible minimal maps (with L. Snoha and S. Trofimchuk), Fundamenta Mathematicae, 168, 2001, 141-163

On Li-Yorke pairs (with F.Blanchard, E.Glasner and A. Maass), Journal fur die reine und angewandte Mathematik (Crelle's Journal), 547 (2002), 51--68

Minimal nonhomogeneous continua (with H. Bruin and L. Snoha), Colloquium Mathematicum, 95 (2003), 123--132

On spatiotemporal chaos, Max-Planck-Institut für Mathematik Preprint Series #26 (2002), 15 pp.

Li-Yorke sensitivity (with E. Akin), Nonlinearity 16 (2003), 1421--1433

Topological

Entropy

Topological entropy of nonautonomous dynamical systems (with L. Snoha), Random & Computational Dynamics, 4, 2 & 3, 1996, 205-233, MR 98f:58126

Entropy and periodic points for transitive maps (with Ll. Aseda, J. Llibre and L. Snoha), Trans. Amer. Math. Soc., 351 (1999), 1551-1573, MR 99f:58117

Topological entropy of nonautonomous piecewise monotone dynamical systems on the interval (with M. Misiurewicz and L.Snoha), Fundamenta Mathematicae, 160 (1999), 161--181

On Li-Yorke pairs (with F.Blanchard, E.Glasner and A. Maass), Journal fur die reine und angewandte Mathematik (Crelle's Journal), 547 (2002), 51--68

Axiomatic definition of the topological entropy on the interval (with Ll. Alseda, J. Llibre and L. Snoha), Aequationes Mathematicae (AEM), 65 (2003), 113--132

Triangular

Maps

On triangular maps of type $2^\infinity$ with positive entropy, Dynamical systems and turbulence. Inst. Math. Ukrain. Acad.Sci., Kiev, 1989, 76-82 (Russian), MR 91d:58203

On dynamics of triangular maps of the square, Ergodic Theory & Dynamical Systems, 12, 1992, 749-768, MR 93m:58036

On $\omega$-limit sets of triangular maps (with L. Snoha ), Real Analysis Exchange, 18 , 1, 1992-93, 115-130, MR 94b:58057

Entropy and periodic points for transitive maps (with Ll. Aseda, J. Llibre and L. Snoha), Trans. Amer. Math. Soc., 351 (1999), 1551-1573, MR 99f:58117

Topological entropy of nonautonomous piecewise monotone dynamical systems on the interval (with M. Misiurewicz and L.Snoha), Fundamenta Mathematicae , 160 (1999), 161--181

1-Dimensional

Dynamics

Dynamics of one-dimensional maps (with A.N. Sharkovsky, A.G. Sivak and V.V. Fedorenko), Mathematics and its Applications,407, Kluwer Academic Publishers, Dorbrecht, 1997, 272pp. (English translation with complements), MR 98k:58083

Topological entropy of nonautonomous piecewise monotone dynamical systems on the interval (with M. Misiurewicz and L.Snoha), Fundamenta Mathematicae , 160 (1999), 161--181

Axiomatic definition of the topological entropy on the interval (with Ll. Alseda, J. Llibre and L. Snoha), Aequationes Mathematicae (AEM), 65 (2003), 113--132

Click here to get a listing of Sergiy Kolyada's papers from the AMS MathSciNet with links to Mathematical Reviews.

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Updated: May, 5 2002