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Title Special alpha-limit sets Author info Sergiĭ Kolyada, Michał Misiurewicz, Ľubomír Snoha Author Kolyada Sergiy (34%)
Co-authors Misiurewicz Michał (33%)
Snoha Ľubomír 1955- (33%) UMBFP10 - Katedra matematiky
Source document Contemporary mathematics : dynamics: topology and numbers, Bonn, July 2–6, 2018, Vol. 744. S. 157-173. - Providence : American Mathematical Society, 2020 / Moree Pieter ; Pohl Anke ; Snoha Ľubomír 1955- ; Ward Tom ; Dynamics: topology and numbers medzinárodná vedecká konferencia Keywords intervaly množiny limity Form. Descr. príspevky v zborníku - proceedings papers Language English Country United States of America Public work category AFC No. of Archival Copy 48617 Repercussion category DE LEO, Roberto. Backward asymptotics in S-unimodal maps. In International journal of bifurcation and chaos in applied sciences and engineering. ISSN 0218-1274, 2022, vol. 32, no. 06, pp. 1-48.
HANTAKOVA, Jana - ROTH, Samuel. On backward attractors of interval maps. In Nonlinearity. ISSN 0951-7715, 2021, vol. 34, no. 11, pp. 7415-7445.
CHOLEWA, Lukasz - OPROCHA, Piotr. On alpha-limit sets in Lorenz maps. In Entropy. ISSN 1099-4300, 2021, vol. 23, no. 9, pp. 1-14.
FORYS-KRAWIEC, Magdalena - HANTAKOVA, Jana - OPROCHA, Piotr. On the structure of alpha-limit sets of backward trajectories for graph maps. In Discrete and continuous dynamical systems. ISSN 1078-0947, 2022, vol. 42, no. 3, pp. 1435-1463.
JACKSON, Stephen - MANCE, Bill - ROTH, Samuel. A non-Borel special alpha-limit set in the square. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2022, vol. 42, no. 8, pp. 2550-2560.
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Title Loops of transitive interval maps Author info Sergii Kolyada, Michal Misiurewicz, Ľubomír Snoha Author Kolyada Sergiy (34%)
Co-authors Misiurewicz Michał (33%)
Snoha Ľubomír 1955- (33%) UMBFP10 - Katedra matematiky
Source document Contemporary mathematica : international conference of Dynamic and numbers, Bonn, 21-25 Jul 2014. Vol. 669 (2016), pp. 137-154 ; Dynamic and numbers international conference Keywords transitive interval maps n-modal maps loops homotopická teória - homotopy theory fundamental group constant slope Language English Country Germany systematics 51 Public work category AFC No. of Archival Copy 38053 Repercussion category FAN, Xiaoxin - LI, Jian - YANG, Yini - YANG, Zhongqiang. Subspaces of interval maps related to the topological entropy. In Topological methods in nonlinear analysis. ISSN 1230-3429, 2019, vol. 54, no. 2, pp. 701-714.
HE, Zhaorong - LI, Jian - YANG, Zhongqiang. The topological structure of function space of transitive maps. In Topology and its applications. ISSN 0166-8641, 2020, vol. 275, art. no. 107009, pp. 1-17.
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Title Spaces of transitive interval maps Author info Sergiy Kolyada, Michal Misiurewicz, Ľubomír Snoha Author Kolyada Sergiy (34%)
Co-authors Misiurewicz Michał (33%)
Snoha Ľubomír 1955- (33%) UMBFP10 - Katedra matematiky
Source document Ergodic Theory and Dynamical Systems. Vol. 35, no. 7 (2015), pp. 2151-2170. - Cambridge : Cambridge University Press, 2015 Keywords matematika - mathematics Language English Country United States of America systematics 51 Public work category ADC No. of Archival Copy 34619 Repercussion category FARRELL, F. Thomas - GOGOLEV, Andrey. The space of Anosov diffeomorphisms. In Journal of the London mathematical society-second series. ISSN 0024-6107, 2014, vol. 89, pp. 383-396.
HUANG, Wen - KHILKO, Danylo - KOLYADA, Sergii - ZHANG, Guohua. Dynamical compactness and sensitivity. In Journal of differential equations. ISSN 0022-0396, 2016, vol. 260, no. 9, pp. 6800-6827.
HE, Zhaorong - LI, Jian - YANG, Zhongqiang. The topological structure of function space of transitive maps. In Topology and its applications. ISSN 0166-8641, 2020, vol. 275, art. no. 107009, pp. 1-17.
MALEK, Michal - ROTH, Samuel. Constant slope models and perturbation. In Israel journal of mathematics. ISSN 0021-2172, 2019, vol. 230, no. 1, pp. 213-237.
FAN, Xiaoxin - LI, Jian - YANG, Yini - YANG, Zhongqiang. Subspaces of interval maps related to the topological entropy. In Topological methods in nonlinear analysis. ISSN 1230-3429, 2019, vol. 54, no. 2, pp. 701-714.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika article
Title Minimal sets of fibre-preserving maps in graph bundles Author info Sergiy Kolyada, Ľubomír Snoha, Sergei Trofimchuk Author Kolyada Sergiy (34%)
Co-authors Snoha Ľubomír 1955- (33%) UMBFP10 - Katedra matematiky
Trofimchuk Sergei (33%)
Source document Mathematische Zeitschrift. Vol. 278, no. 1-2 (2014), pp. 575-614. - Heidelberg : Springer-Verlag, 2014 Keywords dynamické systémy - dynamical systems minimal sets graph bundle skew product Language English Country Germany systematics 51 Annotation Topological structure of minimal sets is studied for a dynamical system given by a fibre-preserving, in general non-invertible, continuous selfmap of a graph bundle. Public work category ADC No. of Archival Copy 31467 Repercussion category HRIC, Roman - JAEGER, Tobias. A construction of almost automorphic minimal sets. In Israel journal of mathematics. ISSN 0021-2172, 2014, vol. 204, no. 1, pp. 373-395.
BIS, Andrzej - KOZLOWSKI, Wojciech. On minimal homeomorphisms and non-invertible maps preserving foliations. In Topology and its applications. ISSN 0166-8641, 2019, vol. 254, DOI 10.1016/j.topol.2018.11.024, pp. 1-11.
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Title A dichotomy for minimal sets of fibre-preserving maps in graph bundles Author info Sergiy Kolyada, Ľubomír Snoha, Sergei Trofimchuk Author Kolyada Sergiy (34%)
Co-authors Snoha Ľubomír 1955- (33%) UMBFP10 - Katedra matematiky
Trofimchuk Sergei (33%)
Issue data Bonn : Max-Planck-Institut für Mathematik , 2011. - S. [1-19] s. Issue Preprint Series 2011 (12) Note Pôvodná verzia práce má názov "Minimal sets in fibred systems" a bola prezentovaná na konferenciách, preto sa k nej objavili ohlasy. Neskôr bola opublikovaná pod názvom "A dichotomy for minimal sets of fibre-preserving maps in graph bundles". Ohlasy sú pripojené k nej. Keywords minimálne dynamické systémy - minimal dynamical systems šikmý súčin minimálne množiny grafový bundle skew product minimal sets graph bundle Language English Country Germany systematics 515.1 Public work category AFI No. of Archival Copy 20205 Repercussion category KUPKA, J. The triangular maps with closed sets of periodic points. In Journal of mathematical analysis and applications. ISSN 0022-247X, 2006, vol. 319, no. 1, pp. 302-314.
SMITAL, J. Why it is important to understand dynamics of triangular maps? In Journal of difference equations and applications. ISSN 1023-6198, 2008, vol. 14, no. 6, pp. 597-606.
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Title Minimal dynamical systems Author info Sergiy Kolyada, Ľubomír Snoha Author Kolyada Sergiy (50%)
Co-authors Snoha Ľubomír 1955- (50%) UMBFP10 - Katedra matematiky
Source document Scholarpedia. Roč. 4, č. 11 (2009), s. 1-12 Keywords minimálne dynamické systémy - minimal dynamical systems minimal sets minimal flow topological transformation group recurrence dense orbit Language English systematics 51 Annotation This is an article in Encyclopedia of Dynamical Systems, which is a part of Scholarpedia, the peer-reviewed open-access encyclopedia. The article deals with minimal dynamical systems and minimal sets URL http://www.scholarpedia.org/article/Minimal_dynamical_systems Public work category BDE No. of Archival Copy 13982 Repercussion category DIRBAK, Matus - MALICKY, Peter. On the construction of non-invertible minimal skew products. In Journal of mathematical analysis and applications. ISSN 0022-247X, 2011, vol. 375, no. 2, pp. 436-442.
HRIC, Roman - JAEGER, Tobias. A construction of almost automorphic minimal sets. In Israel journal of mathematics. ISSN 0021-2172, 2014, vol. 204, no. 1, pp. 373-395.
MARX, C. A. Dominated splittings and the spectrum of quasi-periodic Jacobi operators. In Nonlinearity. ISSN 0951-7715, 2014, vol. 27, no. 12, pp. 3059-3072.
LAMPART, Marek. Necessity of the third condition from the definition of omega chaos. In Applied mathematics and information sciences. ISSN 1935-0090, 2015, vol. 9, no. 5, pp. 2303-2307.
LINERO BAS, A. - SOLER LÓPEZ, G. A note on recurrent points. In Applied mathematics and information sciences. ISSN 1935-0090, 2015, vol. 9, no. 5, pp. 2297-2302.
CIESIELSKI, Krzysztof Chris - JASINSKI, Jakub. An auto-homeomorphism of a Cantor set with derivative zero everywhere. In Journal of mathematical analysis and applications. ISSN 0022-247X, 2016, vol. 434, no. 2, pp. 1267-1280.
GEORGE, Francis. Locally contractive maps on perfect Polish ultrametric spaces. In Matematicki vesnik. ISSN 0025-5165, 2016, vol. 68, no. 4, pp. 233-240.
PARHAM, H. - GHANE, F. H. - EHSANI, A. Iterated function systems : transitivity and minimality. In Boletim da Sociedade Paranaense de Matemática. ISSN 0037-8712, 2020, vol. 38, no. 3, pp. 97-109.
DE LEO, Roberto. Backward asymptotics in S-unimodal maps. In International journal of bifurcation and chaos in applied sciences and engineering. ISSN 0218-1274, 2022, vol. 32, no. 06, pp. 1-48.
VYBOST, Miroslav. Classification of Floyd-Auslander systems with fixed pattern. In Topology and its applications. ISSN 0166-8641, 2022, vol. 314, art. no. 108143, pp. 1-12.
HRIC, Roman - VYBOSTOK, Miroslav. Classification of odometers : a short elementary proof. In Annales mathematicae Silesianae. ISSN 0860-2107, 2022, vol. 36, no. 2, pp. 184-192.
MAKHROVA, E. N. Remarks on the existence of periodic points for continuous maps on dendrites. In Lobachevskii journal of mathematics. ISSN 1995-0802, 2022, vol. 43, no. 7, pp. 1711-1719.
BONILLA, Antonio - GROSSE-ERDMANN, Karl-G - LOPEZ-MARTINEZ, Antoni - PERIS, Alfred. Frequently recurrent operators. In Journal of functional analysis. ISSN 0022-1236, 2022, vol. 283, no. 12, pp. 1-36.
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Title Topological transitivity Author info Sergiy Kolyada, Ľubomír Snoha Author Kolyada Sergiy (50%)
Co-authors Snoha Ľubomír 1955- (50%) UMBFP10 - Katedra matematiky
Source document Scholarpedia, 4(2):5802. No. 4(2) (2009), p. 1-7. -, 2009 Keywords dynamické systémy - dynamical systems topological transitivity dense orbit Language English systematics 51 Annotation This is an article in Encyclopedia of Dynamical Systems, which is a part of Scholarpedia, the peer-reviewed open-access encyclopedia. The article deals with the notion of topological transitivity of dynamical systems. URL http://www.scholarpedia.org/article/Topological_transitivity Public work category BDE No. of Archival Copy 13520 Repercussion category AKIN, Ethan - CARLSON, Jeffrey D. Conceptions of topological transitivity. In Topology and its applications. ISSN 0166-8641, 2012, vol. 159, no. 12, pp. 2815-2830.
MALICKY, Peter. Backward orbits of transitive maps. In Journal of difference equations and applications. ISSN 1023-6198, 2012, vol. 18, no. 7, pp. 1193-1203.
DIRBAK, Matus - MALICKY, Peter. On the construction of non-invertible minimal skew products. In Journal of mathematical analysis and applications. ISSN 0022-247X, 2011, vol. 375, no. 2, pp. 436-442.
MAI, Jie-Hua - SUN, Wei-Hua. Transitivities of maps of general topological spaces. In Topology and its applications. ISSN 0166-8641, 2010, vol. 157, no. 5, pp. 946-953.
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Title Proper minimal sets on compact connected 2-manifolds are nowhere dense Par.title Vlastné minimálne množiny na kompaktných súvislých 2-varietách sú riedke Author info Sergii Kolyada, Ľubomír Snoha, Sergei Trofimchuk Author Kolyada Sergiy (34%)
Co-authors Snoha Ľubomír 1955- (33%) UMBFP10 - Katedra matematiky
Trofimchuk Sergei (33%)
Source document Ergodic Theory and Dynamical Systems. Vol. 28, no. 3 (2008), pp. 863-876. - Cambridge : Cambridge University Press, 2008 Keywords variety minimálne množiny kaktoidy manifolds minimal sets cactoids Language English Country Great Britian systematics 51 Annotation Let $/mathcal{M}^2$ be a compact connected 2-dimensional manifold, with or without boundary, and let $f:{/mathcal{M}}^2/to /mathcal{M}^2$ be a continuous map. We prove that if $M /subseteq /mathcal{M}^2$ is a minimal set of the dynamical system $(/mathcal{M}^2,f)$ then either $M = /mathcal{M}^2$ or $M$ is a nowhere dense subset of $/mathcal{M}^2$. Moreover, we add a shorter proof of the recent result of Blokh, Oversteegen and Tymchatyn, that in the former case $/mathcal{M}^2$ is a torus or a Klein bottle Public work category ADC No. of Archival Copy 9927 Repercussion category VLASENKO, I. Yu. Dynamics of inner mappings. In Nonlinear oscillations. ISSN 1536-0059, 2011, vol. 14, no. 2, pp. 187-192.
MAI, Jie-Hua. Minimal sets in compact connected subspaces. In Topology and its applications. ISSN 0166-8641, 2011, vol. 158, no. 16, pp. 2216-2220.
DIRBAK, Matus. Minimal extensions of flows with amenable acting groups. In Israel journal of mathematics. ISSN 0021-2172, 2015, vol. 207, no. 2, pp. 581-615.
BIS, Andrzej - KOZLOWSKI, Wojciech. On minimal homeomorphisms and non-invertible maps preserving foliations. In Topology and its applications. ISSN 0166-8641, 2019, vol. 254, DOI 10.1016/j.topol.2018.11.024, pp. 1-11.
PARHAM, H. - GHANE, F. H. - EHSANI, A. Iterated function systems : transitivity and minimality. In Boletim da Sociedade Paranaense de Matemática. ISSN 0037-8712, 2020, vol. 38, no. 3, pp. 97-109.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title Functional envelope of a dynamical system Author info Joseph Auslander, Sergii Kolyada, Ľubomír Snoha Author Auslander Joseph (34%)
Co-authors Kolyada Sergiy (33%)
Snoha Ľubomír 1955- (33%) UMBFP10 - Katedra matematiky
Source document Nonlinearity. Vol. 20, no. 9 (2007), pp. 2245-2269. - Bristol : IOP Publishing, 2007 Keywords dynamické systémy - dynamical systems metrické priestory - metric spaces topologická entropia - topological entropy Language English Country Great Britian systematics 515.1 Public work category ADC No. of Archival Copy 5908 Repercussion category MATVIICHUK, Mykola. On the dynamics of subcontinua of a tree. In Journal of difference equations and applications. ISSN 1023-6198, 2013, vol. 19, no. 2, pp. 223-233.
MATVIICHUK, M. On the set of periodic intervals of an interval map. In Regular & chaotic dynamics. ISSN 1560-3547, 2010, vol. 15, no. 2-3, pp. 378-381.
CHOY, Jaeyoo - CHU, Hahng-Yun. On the dynamics of flows on compact metric spaces. In Communications on pure and applied analysis. ISSN 1534-0392, 2010, vol. 9, no. 1, pp. 103-108.
CHU, Hahng-Yun - KANG, Dong Seung - KU, Se-Hyun. On stabilities of functional envelopes and its applications. In Journal of difference equations and applications. ISSN 1023-6198, 2010, vol. 16, no. 9, pp. 1017-1029.
CHU, Hahng-Yun - KU, Se-Hyun - PARK, Jong-Suh. A note on envelopes of homotopies. In Journal of difference equations and applications. ISSN 1023-6198, 2015, vol. 21, no. 6, pp. 512-527.
CHEN, Zhijing - HUANG, Yu. Functional envelopes relative to the point-open topology on a subset. In Discrete and continuous dynamical systems. ISSN 1078-0947, 2017, vol. 37, no. 3, pp. 1227-1246.
ZHONG, Xing Fu - LÜ, Jie. Functional envelope of cantor spaces. In Acta mathematica sinica - english series. ISSN 1439-8516, 2017, vol. 33, no. 3, pp. 327-340.
PAWLAK, Ryszard J. Distortion of dynamical systems in the context of focusing the chaos around the point. In International journal of bifurcation and chaos. ISSN 0218-1274, 2018, vol. 28, no. 1.
CHEN, Zhijing - HUANG, Tingwen - HUANG, Yu - LIU, Xin. Chaotic behaviors of one dimensional wave equations with van der Pol nonlinear boundary conditions. In Journal of mathematical physics. ISSN 0022-2488, 2018, vol. 59, no. 2.
CHOYY, Jaeyoo - CHU, Hahng Yun. On the envelopes of homotopies. In Kyungpook mathematical journal. ISSN 1225-6951, 2009, vol. 49, no. 3, pp. 573-582.
CHEN, Zhijing - HUANG, Yu - SUN, Haiwei - ZHOU, Tongyang. Chaotic behaviors of one-dimensional wave equations with Van der Pol boundary conditions containing a source term. In International journal of bifurcation and chaos. ISSN 0218-1274, 2020, vol. 30, no. 15, pp. [1-17].
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika article
Title Algebraic and Topological Dynamics Subtitle Algebraic and Topological Dynamics May 1-July 31, 2004 Max-Planck-Institut für Mathematik Bonn, Germany Author info Sergiy Kolyada, Yuri Manin, Thomas Ward editors Another authors Kolyada Sergiy (Editor)
Manin Yuri I. (Editor)
Ward Thomas (Editor)
Issue data Providence : American Mathematical Society , c2005. - xi, 364 s., 25 cm Issue [1. ed.] Edition Contemporary Mathematics , v. 385 ISBN 0-8218-3751-6 Note Bibliogr. odkazy Keywords topológia - topology topologická dynamika - topological dynamics algebraická topológia - algebraic topology Language English Country United States of America systematics 514/.2 517.986.2 061.3 =111 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xkni - BOOKS Copy count 1, currently available 0, at library only 1 
book
Call number Location Sublocation Umiestnenie Info 281963 Univerzita Mateja Bela Department of mathematics In-Library Use Only