Publications of Sergiy Kolyada
2009
- S. Kolyada and L. Snoha, Minimal dynamical systems, Scholarpedia,
4(11):5803 (2009).
- S. Kolyada and L. Snoha, Topological
transitivity, Scholarpedia,
4(2):5802 (2009).
2008
- S. Kolyada, L. Snoha and S. Trofimchuk, Proper
minimal sets on compact connected 2-manifolds are nowhere dense,
Ergodic
Theory & Dynamical Systems, 28 (2008),
863--876.
- M. Kapranov, S. Kolyada, Yu. Manin, P. Moree and L.
Potyagailo (eds.), Geometry
and Dynamics of Groups and Spaces. In Memory
of Alexander Reznikov, Progress in
Mathematics, 265, Birkhäuser, Verlag
Basel/Switzerland,
2008, 742p.
2007
- J. Auslander, S. Kolyada and L. Snoha, Functional
envelope of a dynamical system, Nonlinearity,
20 (2007), 2245--2269.
2005
2004
- S. Kolyada, Li-Yorke sensitivity and other concepts of
chaos, (Ukrainian) Ukrain. Mat. Zh. 56 (2004), 1043--1061;
translation in Ukrainian
Math. J. 56 (2004), 1242--1257.
- S. Kolyada, Topological entropy of a dynamical system
on the space of one-dimensional maps, Nonlinear
Oscillations, 7 (2004), 179 -- 186
- S. Kolyada, L. Snoha and S. Trofimchuk On minimality
of nonautonomous dynamical systems, Nonlinear
Oscillations, 7 (2004), 83 -- 89
2003
- E. Akin and S. Kolyada, Li-Yorke sensitivity, Nonlinearity, 16
(2003), 1421--1433
- L. Alseda, S. Kolyada, J. Llibre and L. Snoha, Axiomatic
definition of the topological entropy on the interval, Aequationes
Mathematicae, 65 (2003), 113--132
- H. Bruin, S. Kolyada and L. Snoha, Minimal
nonhomogeneous continua, Colloquium
Mathematicum, 95 (2003), 123--132
- S. Bezuglyi and S. Kolyada (eds.), Topics
in dynamics and ergodic theory, London Mathematical Society
Lecture Note Series 310, Cambridge University Press, Cambridge,
2003, 275 pp.
2002
2001
- S. Kolyada, L. Snoha and S. Trofimchuk, Noninvertible
minimal maps, Fundamenta
Mathematicae, 168 (2001), 141--163, MR
2002j:37017
1999
- Ll. Aseda, S. Kolyada, J. Llibre and L. Snoha , Entropy and periodic points for transitive maps, Trans. Amer. Math. Soc., 351
(1999), 1551-1573, MR 99f:58117
- S. Kolyada, M. Misiurewicz and L. Snoha , Topological entropy of nonautonomous piecewise
monotone dynamical systems on the interval, Fundamenta
Mathematicae, 160 (1999), 161--181, MR 2001g:37017
1997
- S. Kolyada and L. Snoha, Some aspects of
topological transitivity - a survey, Proc. ECIT-94, Grazer
Mathematische Berichte, 334 (1997), 3-35
- A.N. Sharkovsky, S.F. Kolyada, A.G. Sivak and
V.V. Fedorenko, Dynamics of
one-dimensional maps, Mathematics and its Applications,407,
Kluwer Academic Publishers, Dorbrecht, 1997, 272pp. (English
translation with complements), MR 98k:58083
1996
- S.F. Kolyada and L. Snoha, Topological
dynamics of triangular maps, Iteration Theory , Proc. ECIT-92,
World Scientific Publishing, Singapore, 1996, 165-172, MR 97m:58065
- S. Kolyada and L. Snoha, Topological entropy
of nonautonomous dynamical systems, Random & Computational
Dynamics, 4 (1996), 205-233, MR 98f:58126
1995
- S. Kolyada and L. Snoha, On topological
dynamics of sequences of continuous maps, International Journal
of Bifurcation and Chaos, 5 , 5, 1995, 1437-1438, MR 97b:58076
1993
- Ll. Alseda, S.F. Kolyada and L. Snoha, On
topological entropy of triangular maps of the square, Bull. Austral. Math.
Soc., 48 (1993), 55-67, MR 94d:54087
1992
- S.F. Kolyada, On dynamics of triangular maps
of the square, Ergodic
Theory & Dynamical Systems, 12 (1992), 749-768, MR
93m:58036
- S.F. Kolyada and L. Snoha, On omega-limit
sets of triangular maps, Real Analysis Exchange,
18 (1992-93), 115-130, MR 94b:58057
1991
- S.F. Kolyada and A.N. Sharkovsky, On
topological dynamics of triangular maps of the plane, Iteration
Theory, Proc. ECIT-89. World Scientific Publishing, Singapore, 1991,
177-183, MR93f:58196
1989
- S.F. Kolyada, One-parameter families of
mappings of an interval with a negative Schwartzian derivative which
violate the monotonicity of bifurcations, Ukrain. Mat. Zhurnal,
41 (1989), 258-261(Russian) (English translation 41
(1989), 230-232) MR 90c:58085
- S.F. Kolyada, 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
- A.N. Sharkovsky, S.F. Kolyada, A.G. Sivak and
V.V. Fedorenko, Dynamics of one-dimensional maps, Naukova
Dumka, Kiev, 1989, 216 pp.(Russian), MR 91k:58065
1987
- S.F. Kolyada, Discrete dynamical systems with
Schwarzian derivative of constant sign, Functional-differential
equations and their application to nonlinear boundary value problems.
Inst. Math. Ukrain. Acad. Sci., Kiev, 1987, 18-23 (Russian), MR
89j:58057
1986
- S.F. Kolyada, On the dynamics of triangular
maps , Inst. Math. Ukrain. Acad. Sci. Preprint, # 61, Kiev, 1986,
28 pp. (Russian), MR88b:58074
- S.F. Kolyada, The measure of quasi-attractors
of one-dimensional smooth mappings, Inst. Math. Ukrain. Acad. Sci.
Preprint, #35, Kiev, 1986, 22 pp. (Russian), MR 88h:58066
1985
- S.F. Kolyada, Maps of the interval with zero
Schwarzian , Functional-differential equations and their
applications. Inst.Math. Ukrain. Acad. Sci., Kiev, 1985, 47-57
(Russian), MR 88i:58080
1984
- S.F. Kolyada and A.G. Sivak, A class of
functional equations and the universal behavior of families of
one-dimensional maps , Differential-difference equations and
problems of mathematical physics. Inst. Math. Ukrain. Acad. Sci., Kiev,
1984, 33-37 (Russian),MR 88b:39008
1982
- S.F. Kolyada and A.G. Sivak, Universal
constants for one parameter families of maps, Oscillation and
stability of solutions ofdifferential equations. Inst. Math. Ukrain.
Acad. Sci., Kiev, 1982,(Russian), MR 85f:58076
1981
- S.F. Kolyada and A.N.
Sharkovsky, The measure of repellors of one-
dimensional smooth maps, Differential-functional and difference
equations. Inst. Math. Ukrain. Acad. Sci., Kiev, 1981, (Russian),MR
84c:58051
Updated: October 17, 2007