Kolyada Sergii
Publications
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
S. Kolyada, Yu. Manin and T. Ward (eds.), Algebraic and topological dynamics, Contemporary Mathematics, 385, American Mathematical Society, Providence, 2005, 364 pp.
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
F. Blanchard, E. Glasner, S. Kolyada and A. Maass, On Li-Yorke pairs, Journal für die reine und angewandte Mathematik (Crelle's Journal), 547 (2002), 51--68, MR 2003g:37014
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
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
S. Kolyada, Yu. Manin and T. Ward (eds.), Algebraic and topological dynamics, Contemporary Mathematics, 385, American Mathematical Society, Providence, 2005, 364 pp.
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
F. Blanchard, E. Glasner, S. Kolyada and A. Maass, On Li-Yorke pairs, Journal für die reine und angewandte Mathematik (Crelle's Journal), 547 (2002), 51--68, MR 2003g:37014
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