Search results
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 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 On minimality of nonautonomous dynamical systems Author info S. Kolyada, Ľubomír Snoha, S. Trofimchuk Author Kolyada Sergiy
Co-authors Snoha Ľubomír 1955- UMBFP10 - Katedra matematiky
Trofimchuk Sergei
Source document Nonlinear Oscillations. Vol. 7, no. 1 (2004), pp. 83-89. - : Neliniini Kolyvannya, 2004 Keywords neautonómne dynamické systémy - nonautonomous dynamical systems topologická dynamika - topological dynamics Language English systematics 515.1 Public work category ADE No. of Archival Copy 1588 Repercussion category LIU, Lei - CHEN, Bin. On omega-limit sets and attraction of non-autonomous discrete dynamical systems. In Journal of the Korean mathematical society. ISSN 0304-9914, 2012, vol. 49, no. 4, pp. 703-713.
HUANG, Qiuling - SHI, Yuming - ZHANG, Lijuan. Chaotification of nonautonomous discrete dynamical systems. In International journal of bifurcation and chaos. ISSN 0218-1274, 2011, vol. 21, no. 11, pp. 3359-3371.
CANOVAS, Jose S. Li-Yorke chaos in a class of nonautonomous discrete systems. In Journal of difference equations and applications. ISSN 1023-6198, 2011, vol. 17, no. 4, pp. 479-486.
KUANG, Rui - CHENG, Wen-Chiao - LI, Bing. Fractal entropy of nonautonomous systems. In Pacific journal of mathematics. ISSN 0030-8730, 2013, vol. 262, no. 2, pp. 421-436.
LIU, Lei - SUN, Yuejuan. Weakly mixing sets and transitive sets for non-autonomous discrete systems. In Advances in different equations. ISSN 1687-1847, August 2014, article no. 217.
SHAO, Hua - SHI, Yuming - ZHU, Hao. Strong Li-Yorke chaos for time-varying discrete dynamical systems with A-Coupled-Expansion. In International journal of bifurcation and chaos. ISSN 0218-1274, 2015, vol. 25, no. 13, article no. 1550186.
CHENG, Wen-Chiao. Pre-image entropy for free semigroup actions. In Chaos solitons & fractals. ISSN 0960-0779, 2016, vol. 91, pp. 286-290.
CANOVAS, J. S. - LINERO BAS, A. - SOLER LOPEZ, G. Periods of alternated systems generated by affine circle maps. In Journal of difference equations and applications. ISSN 1023-6198, 2016, vol. 22, no. 3, pp. 441-467.
LU, Tianxiu - CHEN, Guanrong. Proximal and syndetical properties in nonautonomous discrete systems. In Journal of applied analysis and computation. ISSN 2156-907X, 2017, vol. 7, no. 1, pp. 92-101.
TANG, Xiao - CHEN, Guanrong - LU, Tianxiu. Some iterative properties of (F-1, F-2)-chaos in non-autonomous discrete systems. In Entropy. ISSN 1099-4300, 2018, vol. 20, no. 3.
THAKKAR, Dhaval - DAS, Ruchi. On nonautonomous discrete dynamical systems. In International journal analysis. ISSN 2314-498X, 2014, pp. 1-6.
TANG, Jingru - LI, Bing - CHENG, Wen-Chiao. Some properties on topological entropy of free semigroup action. In Dynamical systems-an international journal. ISSN 1468-9367, 2018, vol. 33, no. 1, pp. 54-71.
BIŚ, Andrzej. Topological and measure-theoretical entropies of nonautonomous dynamical systems. In Journal of dynamics and differential equations. ISSN 1040-7294, 2018, vol. 30, no. 1, pp. 273-285.
SHARMA, Puneet - RAGHAV, Manish. On dynamics generated by a uniformly convergent sequence of maps. In Topological and its applications. ISSN 0166-8641, 2018, vol. 247, pp. 81-90.
WANG, Jianjun. On the iteration invariance of distributional chaos of type 2 1/2 in non-autonomous discrete system. In Qualitative theory of dynamical systems. ISSN 1575-5460, 2019, vol. 18, no. 2, pp. 711-721.
CANOVASA, J. S. - LINERO BAS, A. - SOLER LOPEZ, G. Computing odd periods of alternating systems of affine circle maps. In Journal of difference equations and applications. ISSN 1023-6198, 2019, vol. 25, no. 9-10, special issue, pp. 1412-1428.
RAGHAV, Manish - SHARMA, Puneet. Alterations and rearrangements of a non-autonomous dynamical system. In Bulletin of the Iranian mathematical society. ISSN 1017-060X, 2019, vol. 45, no. 5, pp. 1431-1441.
LI, Nan - WANG, Lidong. Sensitivity and chaoticity on nonautonomous dynamical systems. In International journal of bifurcation and chaos. ISSN 0218-1274, 2020, vol. 30, no. 10, pp. [1-11].
JU, Yujun - YANG, Qigui. Pesin topological entropy of nonautonomous dynamical systems. In Journal of mathematical analysis and applications. ISSN 0022-247X, 2021, vol. 500, no. 2, pp. 1-20.
SARKOOH, Javad Nazarian. Various shadowing properties for time varying maps. In Bulletin of the Korean Mathematical Society. ISSN 1015-8634, 2022, vol. 59, no. 2, pp. 481-506.
PI, Jingmin - LU, Tianxiu - XUE, Yanfu. Transitivity and shadowing properties of nonautonomous discrete dynamical systems. In International journal of bifurcation and chaos. ISSN 0218-1274, 2022, vol. 32, art. no. 2250246.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title Noninvertible minimal maps Author info Sergii Kolyada, Ľubomír Snoha, Sergei Trofimchuk Author Kolyada Sergiy
Co-authors Snoha Ľubomír 1955- UMBFP10 - Katedra matematiky
Trofimchuk Sergei
Source document Fundamenta Mathematicae. Vol. 168, Issue 2 (2001), p. 141-163. S.. - Warsaw : Polish Acad Sciences Inst Mathematics, 2001 Keywords matematika - mathematics matematická analýza - mathematical analysis dynamické systémy - dynamical systems Language English Country Poland systematics 517 Public work category ADE Repercussion category DOWNAROWICZ, Tomasz. Minimal subsystems of triangular maps of type 2(infinity); Conclusion of the Sharkovsky classification program. In Chaos & fractals. ISSN 0960-0779, 2013, vol. 49, pp. 61-71.
KWIETNIAK, Dominik - OPROCHA, Piotr. On weak mixing, minimality and weak disjointness of all iterates. In Eegodic theory and dynamical systems. ISSN 0143-3857, 2012, vol. 32, pp. 1661-1672.
DIRBAK, Matus. Minimal skew products with hypertransitive or mixing properties. In Discrete and continuous dynamical systems. ISSN 1078-0947, 2012, vol. 32, no. 5, pp. 1657-1674.
TYWONIUK, Dariusz. Minimal non-invertible transformations of solenoids. In Colloquium mathematicum. ISSN 0010-1354, 2012, vol. 127, no. 2, pp. 243-252.
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.
MOOTHATHU, T. K. Subrahmonian. Diagonal points having dense orbit. In Colloquium mathematicum. ISSN 0010-1354, 2010, vol. 120, no. 1, pp. 127-138.
AKIN, Ethan. An everywhere two-to-one map. In Journal of difference equations and applications. ISSN 1023-6198, 2009, vol. 15, no. 1, pp. 13-15.
The Topological Dynamics of Ellis Actions Introduction. In Memoirs of the American Mathematical Society. ISSN 0065-9266, 2008, vol. 195, no. 913, pp. 1-[10].
SHAO SONG - YE XIANGDONG - ZHANG RUIFENG. Sensitivity and regionally proximal relation in minimal systems. In Science in China series A-mathematics. ISSN 1006-9283, 2008, vol. 51, no. 6, pp. 987-994.
MALICKY, Peter. Category version of the Poincare´ recurrence theorem. In Topology and its applications. ISSN 0166-8641, 2007, vol. 154, no. 14, pp. 2709-2713.
MAI, Jie-Hua - SHAO, Song. The structure of graph maps without periodic points. In Topology and its applications. ISSN 0166-8641, 2007, vol. 154, no. 14, pp. 2714-2728.
RICHESON, David - WISEMAN, Jim. Positively expansive dynamical systems. In Topology and its applications. ISSN 0166-8641, 2007, vol. 154, no. 3, pp. 604-613.
BLOKH, Alexander - OVERSTEEGEN, Lex - TYMCHATYN, E. D. On almost one-to-one maps. In Transactions of the American mathematical society. ISSN 0002-9947, 2006, vol. 358, no. 11, pp. 5003-5014.
BLOKH, A - OVERSTEEGEN, L - TYMCHATYN, ED. Applications of almost one-to-one maps. In Topology and its applications. ISSN 0166-8641, 2006, vol. 153, no. 10, pp. 1571-1585.
MAI, JH. Pointwise-recurrent graph maps. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2005, vol. 25, pp. 629-637.
HE, L. F. - FU, S. H. - YAN, X. H. Some dynamical properties of the minimal continuous semi-flows. In Indian journal of pure & applied mathematics. ISSN 0019-5588, 2005, vol. 36, no. 4, pp. 189-201.
BLOKH, A. - OVERSTEEGEN, L. - TYMCHATYN, E. D. On minimal maps of 2-manifolds. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2005, vol. 25, pp. 41-57.
HUANG, W. - LI, S. M. - SHAO, S. - YE, X. D. Null systems and sequence entropy pairs. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2003, vol. 23, pp. 1505-1523.
BALIBREA, F. - REICH, L. - SMITAL, J. Iteration theory: Dynamical systems and functional equations. In International journal of bifurcation and chaos. ISSN 0218-1274, 2003, vol. 13, no. 7, pp. 1627-1647.
DeVRIES, J. Topological dynamical systems : an introduction to the dynamics of continuous mappings. Vol. 59. Berlin : Walter DeGruyter, 2014. 498 p. ISBN 978-3-11-034240-6.
AKIN, Ethan - AUSLANDER, Joseph - NAGAR, Anima. Variations on the concept of topological transitivity. In Studia mathematica. ISSN 0039-3223, 2016, vol. 235, no. 3, pp. 225-249.
BARRAGAN, Franco - SANTIAGO-SANTOS, Alicia - TENORIO, Jesus F. Dynamic properties for the induced maps on n-fold symmetric product suspensions. In Glasnik matematicki. ISSN 0017-095X, 2016, vol. 51, no. 2, pp. 453-474.
GARG, Mukta - DAS, Ruchi. Exploring stronger forms of transitivity on G-spaces. In Matematicki vesnik. ISSN 0025-5165, 2017, vol. 69, no. 3, pp. 164-175.
LOPEZ, Luis-Miguel - NARBEL, Philippe. Infinite interval exchange transformations from shifts. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2017, vol. 37, no. 6, pp. 1935-1965.
MLÍCHOVÁ, Michaela. Li-Yorke sensitive and weak mixing dynamical systems. In Journal of difference equations and applications. ISSN 1023-6198, 2018, vol. 24, no. 5, pp. 667-674.
BORONSKI, J. P. - CLARK, Alex - OPROCHA, P. A compact minimal space Y such that its square Y x Y is not minimal. In Advances in mathematics. ISSN 0001-8708, 2018, vol. 335, pp. 261-275.
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.
AKIN, Ethan - WISEMAN, Jim. Varieties of mixing. In Transactions of the American mathematical society. ISSN 0002-9947, 2019, vol. 372, no. 6, pp. 4359-4390.
GLASSCOCK, Daniel - KOUTSOGIANNIS, Andreas - RICHTER, Florian Karl. Multiplicative combinatorial properties of return time sets in minimal dynamical systems. In Discrete and continuous dynamical systems. ISSN 1078-0947, 2019, vol. 39, no. 10, pp. 5891-5921.
BORONSKI, Jan P. - CINC, Jernej - FORYS-KRAWIEC, Magdalena. On rigid minimal spaces. In Journal of dynamics and differential equations ISSN 1040-7294, 2021, vol. 33, no. 2, pp. 1023-1034.
BARRAGAN, Franco - SANTIAGO-SANTOS, Alicia - TENORIO, Jesus F. Dynamic properties of the dynamical system (SFmn(X); SFmn(f)). In Applied general topology. ISSN 1989-4147, 2020, vol. 21, no. 1, pp. 17-34.
BORONSKI, Jan P. - KENNEDY, Judy - LIU, Xiao-Chuan - OPROCHA, Piotr. Minimal non-invertible maps on the pseudo-circle. In Journal of dynamics and differential equations. ISSN 1040-7294, 2021, vol. 33, no. 4, pp. 1897-1916.
LIU, Guo - LU, Tianxiu - YANG, Xiaofang - WASEEM, Anwar. Further discussion about transitivity and mixing of continuous maps on compact metric spaces. In Journal of mathematical physics. ISSN 0022-2488, 2020, vol. 61, art. no. 112701.
BARRAGAN, Franco - SANTIAGO-SANTOS, Alicia - TENORIO, Jesus F. Dynamic properties for the induced maps on n-fold symmetric product suspensions 2. In Topology and its applications. ISSN 0166-8641, 2021, vol. 288, art. no. 107484.
EDEKO, Nikolai. On equicontinuous factors of flows on locally path-connected compact spaces. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2021, vol. 41, no. 11, pp. 3270-3287.
ZARIKIAN, Vrej. A generalization of Whyburn's theorem, and aperiodicity for Abelian C*-inclusions. In Topology and its applications. ISSN 0166-8641, 2022, vol. 310, art. no. 108043.
BORONSKI, Jan P. - KOZLOWSKI, George. On minimal manifolds. In Proceedings of the American mathematical society. ISSN 0002-9939, 2021, vol. 149, no. 6, pp. 2669-2672.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised
Title Noninvertible minimal maps Author info Sergii Kolyada, Ľubomír Snoha, Sergei Trofimchuk Title Subtitle Translation : Neinvertovateľné minimálne zobrazenia Author Kolyada Sergiy
Co-authors Snoha Ľubomír 1955- UMBFP10 - Katedra matematiky
Trofimchuk Sergei
Issue data Marseille : Institut de Mathématiques de Luminy, CNRS , 1999 Note Preprint 99-26. - Res. angl., bibliogr. odkazy: s. 18 Keywords minimálne zobrazenie rozšírenie - extension faktory - factors dynamické systémy - dynamical systems preprinty Language English Country France systematics 517 Public work category AFI No. of Archival Copy 9660 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised