Publications of Sergiy Kolyada
2017
- W. Huang, D. Khilko, S. Kolyada, A.Peris
and G. Zhang, Finite intersection property and dynamical compactness, Journal of Dynamics and Differential Equations, published online on 27 June 2017,
DOI: 10.1007/s10884-017-9600-8, pp.1-25.
2016
- S.
Kolyada, M. Moeller, P. Moree and T. Ward
(eds.), Dynamics and
numbers, Contemporary
Mathematics, 669,
American Mathematical Society, Providence, 2016, 315 pp.
- W. Huang, D. Khilko, S. Kolyada
and G. Zhang, Dynamical compactness and sensitivity, Journal of Differential Equations, published online on 25 January 2016, 260(2016) 6800-6827.
- W. Huang, S. Kolyada
and G. Zhang, Analogues of Auslander-Yorke theorems for multi-sensitivity, Ergodic
Theory Dynamical Systems, published online on 22 September 2016, pp. 1-15. doi: 10.1017/etds.2016.48.
- S. Kolyada, M. Misiurewicz
and L. Snoha, Loops of transitive interval maps, Dynamics and
numbers, Contemporary Mathematics, 669, American Mathematical Society, Providence, 2016, 150-167.
2015
- S. Kolyada, M. Misiurewicz
and L. Snoha, Spaces of transitive interval maps, Ergodic
Theory
&
Dynamical Systems, published online on 5 August 2014, 35(2015), 2151-2170.
- S. Kolyada
and Ju. Semikina, On topological entropy: when positivity implies +infinity,
Proceedings of the AMS,
published electronically on 4 December 2014,
143 (2015), 1545-1558.
2014
- S. Kolyada,
L. Snoha and S. Trofimchuk, Minimal sets of fibre-preserving
maps in graph bundles, Mathematische Zeitschrift, published online on 12 June 2014, 278 (2014), 575-614.
2013
- E.
Bilokopytov and S. Kolyada, Transitive
maps on topological spaces, Ukrain. Mat. Zh., 65
(2013), 1163-1185 (Ukrainian); Ukrainian Math. J. 65 (2014), no. 9, 1293-1318 (a translated version).
- S. Kolyada
and O. Rybak, On the Lyapunov numbers,
Colloquium Mathematicum, 131 (2013), 209-218.
2012
- S. Kolyada
and D. Robatian, On
omega-limit sets of triangular induced maps,
Real
Analysis Exchange, 38 (2012), 299-316.
2011
- S. Kolyada
Topological dynamics: minimality, entropy and
chaos (Ukrainian), Proceedings of Inst.
Math., NAS of Ukraine, Mathematics and its Applications,
89,
Kiev, 2011, 340 pp. ISBN: 978-966-02-6280-5.
- S. Kolyada
and M. Matviichuk, On extensions of
transitive maps,
Discrete
and
Continuous Dynamical Systems, 30
(2011),
767--777.
2010
- S.
Kolyada, Yu. Manin, M. Moeller, P. Moree and T. Ward
(eds.), Dynamical
numbers:
interplay between dynamical systems and
number theory, Contemporary
Mathematics, 532,
American Mathematical Society, Providence, 2010, 242 pp.
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
$2^\infty$ 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: June 12, 2017