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Title Minimality for actions of abelian semigroups on compact spaces with a free interval Author info Matúš Dirbák, Roman Hric ... [et al.] Author Dirbák Matúš 1983- (20%) UMBFP10 - Katedra matematiky
Co-authors Hric Roman 1970- (20%) UMBFP10 - Katedra matematiky
Maličký Peter 1956- (20%) UMBFP10 - Katedra matematiky
Snoha Ľubomír 1955- (20%) UMBFP10 - Katedra matematiky
Špitalský Vladimír 1973- (20%) UMBFP10 - Katedra matematiky
Source document Ergodic Theory and Dynamical Systems. Vol. 39, no. 11 (2019), pp. 2968-2982. - Cambridge : Cambridge University Press, 2019 Keywords Abelovské grupy - Abelian groups minimal group action minimal sets matematika - mathematics Form. Descr. články - journal articles Language English Country Great Britian URL Link na plný text Public work category ADC No. of Archival Copy 46104 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
unrecognised
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.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
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.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ 
article
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.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised
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 - varieties 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