Výsledky vyhľadávania
Názov Local correlation entropy Aut.údaje Vladimír Špitalský Autor Špitalský Vladimír 1973- (100%) UMBFP10 - Katedra matematiky
Zdroj.dok. Discrete and Continuous Dynamical Systems. Vol. 38, no. 11 (2018), pp. 5711-5733. - Sprinfield : American Institute of Mathematical Sciences, 2018 Kľúč.slová local correlation entropy topologická entropia - topological entropy recurrence plot Jazyk dok. angličtina Krajina Spojené štáty Systematika 51 URL Link na zdrojový dokument Kategória publikačnej činnosti ADC Číslo archívnej kópie 43742 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika 
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Názov Minimal spaces with cyclic group of homeomorphisms Aut.údaje Tomasz Downarowicz, Ľubomír Snoha, Dariusz Tywoniuk Autor Downarowicz Tomasz (34%)
Spoluautori Snoha Ľubomír 1955- (33%) UMBFP10 - Katedra matematiky
Tywoniuk Dariusz (33%)
Zdroj.dok. Journal of Dynamics and Differential Equations. Vol. 29, no. 1 (2017), pp. 243-257. - New York : Springer, 2017 Kľúč.slová Continuum (Mathematics) homeomorphisms topologická entropia - topological entropy Jazyk dok. angličtina Krajina Spojené štáty Systematika 51 Anotácia There are two main subjects in this paper. (1) For a topological dynamical system we study the topological entropy of its "functional envelopes" (the action of by left composition on the space of all continuous self-maps or on the space of all self-homeomorphisms of ). In particular we prove that for zero-dimensional spaces both entropies are infinite except when is equicontinuous (then both equal zero). (2) We call Slovak space any compact metric space whose homeomorphism group is cyclic and generated by a minimal homeomorphism. Using Slovak spaces we provide examples of (minimal) systems with positive entropy, yet, whose functional envelope on homeomorphisms has entropy zero (answering a question posed by Kolyada and Semikina). Finally, also using Slovak spaces, we resolve a long standing open problem whether the circle is a unique non-degenerate continuum admitting minimal continuous transformations but only invertible: No, some Slovak spaces are such, as well. Kategória publikačnej činnosti ADC Číslo archívnej kópie 39386 Kategória ohlasu AKIN, Ethan - RAUTIO, Juho. Chain transitive homeomorphisms on a space: all or none. In Pacific journal of mathematics. ISSN 0030-8730, 2017, vol. 291, no. 1, pp. 1-49.
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.
KOLYADA, Sergii. A survey of some aspects of dynamical topology : dynamical compactness and Slovak spaces. In Discrete and continuous dynamical systems : series S. ISSN 1937-1632, 2020, vol. 13, no. 4, pp. 1291-1317.
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.
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.
BORONSKI, Jan P. - CLARK, Alex - OPROCHA, Piotr. New exotic minimal sets from pseudo-suspensions of cantor systems. In Journal of dynamics and differential equations. ISSN 1040-7294, 2021, vol. 35, no. 2, pp. 1175–1201.
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Názov Topological entropy of transitive dendrite maps Aut.údaje Vladimír Špitalský Autor Špitalský Vladimír 1973- (100%) UMBFP10 - Katedra matematiky
Zdroj.dok. Ergodic Theory and Dynamical Systems. Vol. 35, no. 4 (2015), pp. 1289-1314. - Cambridge : Cambridge University Press, 2015 Kľúč.slová topologická entropia - topological entropy transitive system exact systems dendrites Jazyk dok. angličtina Krajina Spojené štáty Systematika 515.1 URL Link na plný text Kategória publikačnej činnosti ADC Číslo archívnej kópie 27286 Kategória ohlasu BYSZEWSKI, Jakub - FALNIOWSKI, Fryderyk - KWIETNIAK, Dominik. Transitive dendrite map with zero entropy. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2017, vol. 37, no. 7 , pp. 2077-2083.
SHI, Enhui - WANG, Suhua - DI, Yan. Sensitivity of dendrite maps. In Journal of mathematical analysis and applications. ISSN 0022-247X, 2017, vol. 446, no. 1, pp. 908-919
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Názov Minimality, transitivity, mixing and topological entropy on spaces with a free interval Aut.údaje Matúš Dirbák, Ľubomír Snoha, Vladimír Špitalský Autor Dirbák Matúš 1983- (34%) UMBFP10 - Katedra matematiky
Spoluautori Snoha Ľubomír 1955- (33%) UMBFP10 - Katedra matematiky
Špitalský Vladimír 1973- (33%) UMBFP10 - Katedra matematiky
Zdroj.dok. Ergodic Theory and Dynamical Systems. Vol. 33, no. 6 (2013), pp. 1786-1812. - Cambridge : Cambridge University Press, 2013 Kľúč.slová topologická entropia - topological entropy transitive system mixing system dense periodicity Continuum (Mathematics) disconnecting interval Jazyk dok. angličtina Krajina Veľká Británia Systematika 51 URL Link na zdrojový dokument Kategória publikačnej činnosti ADC Číslo archívnej kópie 22153 Kategória ohlasu HOEHN, Logan - MOURON, Christopher. Hierarchies of chaotic maps on continua. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2014, vol. 34, pp. 1897-1913.
HARANCZYK, Grzegorz - KWIETNIAK, Dominik - OPROCHA, Piotr. Topological structure and entropy of mixing graph maps. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2014, vol. 34, pp. 1587-1614.
OPROCHA, Piotr. Transitivity, two-sided limit shadowing property and dense omega-chaos. In Journal of the Korean mathematical society. ISSN 0304-9914, 2014, vol. 51, no. 4, pp. 837-851.
MAI, Jiehua - SHI, Enhui - WANG, Suhua. Sensitive semigroups of mappings on Peano continua having a free arc. In Topology and its applications. ISSN 0166-8641, 2015, vol. 194, pp. 159-165.
SHI, En Hui - WANG, Su Hua - MA, Li Ying. Sensitive open maps on Peano continua having a free arc. In Acta mathematica sinica - english series. ISSN 1439-8516, 2016, vol. 32, no. 6, pp. 736-744.
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.
ACOSTA, Gerardo - HERNÁNDEZ-GUTIÉRREZ, Rodrigo - NAGHMOUCHI, Issam - OPROCHA, Piotr. Periodic points and transitivity on dendrites. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2017, vol. 37, no. 7, pp. 2017-2033.
BYSZEWSKI, Jakub - FALNIOWSKI, Fryderyk - KWIETNIAK, Dominik. Transitive dendrite map with zero entropy. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2017, vol. 37, no. 7, pp. 2077-2083.
SHI, Enhui - WANG, Suhua - DI, Yan. Sensitivity of dendrite maps. In Journal of mathematical analysis and applications. ISSN 0022-247X, 2017, vol. 446, no. 1, pp. 908-919.
FADEL, Asmaa - DZUL-KIFLI, Syahida Che. Some chaos notions on dendrites. In Symmetry (Basel). ISSN 2073-8994, 2019, vol. 11, no. 10, pp. 1-10.
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Názov Topological entropy of transitive dendrite maps Aut.údaje Vladimír Špitalský Autor Špitalský Vladimír 1973- (100%) UMBFP10 - Katedra matematiky
Zdroj.dok. arXiv:1209.5344v1 : [math.DS]. (2012), s. [1-26] Kľúč.slová topologická entropia - topological entropy transitive dendrite maps Jazyk dok. angličtina Systematika 515.1 URL http://arxiv.org/abs/1209.5344 Kategória publikačnej činnosti AFI Číslo archívnej kópie 23326 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ 
kniha
Názov On the construction of non-invertible minimal skew products Súbež.n. O konštrukcii neinvertovateľných minimálnych šikmých súčinov Aut.údaje Matúš Dirbák, Peter Maličký Autor Dirbák Matúš 1983- (50%) UMBFP10 - Katedra matematiky
Spoluautori Maličký Peter 1956- (50%) UMBFP10 - Katedra matematiky
Zdroj.dok. Journal of Mathematical Analysis and Applications. Vol. 375, no. 2 (2011), pp. 436-442. - San Diego : Academic Press, 2011 Kľúč.slová topologická entropia - topological entropy rozšírenie - extension šikmý súčin trojuholníkové zobrazenia minimálna akcia grupy homogénny priestor súvislej kompaktnej grupy skew product triangular maps minimal group action homogeneous space of a compact connected group Jazyk dok. angličtina Krajina Spojené štáty Systematika 515.1 Anotácia Nech X,Z sú nekonečné kompaktné metrické priestory. Ukazujeme, že ak grupa H(Z) homeomorfizmov priestoru Z obsahuje oblúkovo súvislú podgrupu G(Z), ktorej akcia na Z je minimálna, potom každé minimálne zobrazenie f na X (invertovateľné alebo aj neinvertovateľné) pripúšťa minimálne rozšírenie ako šikmý súčin F=(f,g_x) na XxZ s vláknovými zobrazeniami g_x v uzávere podgrupy G(Z). V invertovateľnom prípade tento výsledok bol dokázaný Glasnerom a Weissom roku 1979. Tiež prispievame k opisu triedy C priestorov Z pripušťajúcich grupu G(Z) so spomenutou vlastnosťou. Konkrétne ukazujeme, že táto trieda je uzavretá vzhľadom na spočítateľné súčiny a obsahuje nekonečné spočítateľné súčiny variet, z ktorých nekonečne veľa má neprázdnu hranicu. Ďalej ukazujeme, že podtrieda triedy C tvorená kompaktnými metrickými priestormi Z, ktoré pripúšťajú oblúkovo súvislú grupu izometrií I(Z) s minimálnou akciou na Z sa zhoduje s triedou homogénnych priestorov súvislých kompaktných metrizovateľných grúp. Let X,Z be infinite compact metric spaces. We show that if the group H(Z) of the homeomorphisms of Z has an arc-wise connected subgroup G(Z) whose action on Z is minimal then every minimal map f on X (invertible or not) admits a minimal skew product extension F=(f,g_x) on XxZ with the fibre maps g_x in the closure of G(Z). In the invertible case this was proved by Glasner and Weiss in 1979. We also contribute to the description of the class C of those spaces Z which admit a group G(Z) with the mentioned property. Namely, we show that this class is closed with respect to countable products and contains all countably infinite products of compact connected manifolds, infinitely many of which have nonempty boundary. Further, we show that the subclass of C formed by all compact metric spaces Z which admit an arc-wise connected group I(Z) of isometries with a minimal action on Z coincides with the class of all homogeneous spaces of compact connected metrizable groups Kategória publikačnej činnosti ADC Číslo archívnej kópie 20204 Kategória ohlasu KOLJADA, Sergij. Topologična dinamika minimalinisti, entropija ta chaos. Kiev : Nacionalina akademija nauk Ukrajini, Institut matematiki, 2011. ISBN 978-966-02-6280-5.
KOLYADA, Sergii - SNOHA, Lubomir - TROFIMCHUK, Sergei. Minimal sets of fibre-preserving maps in graph bundles. In Mathematische Zeitschrift. ISSN 0025-5874, 2014, vol. 278, no. 1-2, pp. 575-614.
DeVRIES, J. Topological dynamical systems : an introduction to the dynamics of continuous mappings. Berlin : DeGruyter, 2014. DeGruyter Studies in Mathematics, vol. 49. 498 p. ISBN 978-3-11-034240-6.
SOTOLA, Jakub - TROFIMCHUK, Sergei. Construction of minimal non-invertible skew-product maps on 2-manifolds. In Proceedings of the American mathematical society. ISSN 0002-9939, 2016, vol. 144, no. 2, pp. 723-732.
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Názov Topological entropy of piecewise bimonotone skew products Súbež.n. Topologická entropia po častiach bimonotónneho trojuholníkového zobrazenia Aut.údaje Franz Hofbauer, Peter Maličký, Ľubomír Snoha Autor Hofbauer Franz (34%)
Spoluautori Maličký Peter 1956- (33%) UMBFP10 - Katedra matematiky
Snoha Ľubomír 1955- (33%) UMBFP10 - Katedra matematiky
Zdroj.dok. Journal of Difference Equations and Applications. Vol. 15, no. 1 (2009), pp. 53-69. - Abingdon : Taylor & Francis Group, 2009 Kľúč.slová po častiach bimonotónne trojuholníkové zobrazenie topologická entropia - topological entropy podkovy neautonómne dynamické systémy - nonautonomous dynamical systems piecewise bimonotone skew product map horseshoes Jazyk dok. angličtina Krajina Veľká Británia Systematika 515.1 Anotácia Dokázali sme, že topologická entropia po častiach bimonotónneho trojuholníkového zobrazenia je daná jeho podkovami. Navyše je entropia zdola polospojitá za predpokladu, že je väčšia než entropia v báze a entropie vo vláknach. We prove that the topological entropy of a piecewise bimonotone skew product map is given by horseshoes and is lower semicontinuous, provided it is larger than the entropy of the base map f and the entropies in the fibres Kategória publikačnej činnosti ADC Číslo archívnej kópie 13177 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika nerozpoznaný
Názov Topological size of scrambled sets Súbež.n. Topologická veľkosť chaotických množín Aut.údaje Francois Blanchard, Wen Huang, Ľubomír Snoha Autor Blanchard Francois (34%)
Spoluautori Huang Wen (33%)
Snoha Ľubomír 1955- (33%) UMBFP10 - Katedra matematiky
Zdroj.dok. Colloquium Mathematicum. Roč. 110, č. 2 (2008), s. 293-361. - Warszawa : Institute of Mathematics, Polish Academy of Sciences, 2008 Kľúč.slová chaotická dvojica chaotické množiny Cantorova množina - Cantor set Li-Yorkov chaos - Li-Yorke chaos Mycielskeho množina Bernsteinova množina trojuholníkové zobrazenia zobrazenia na grafe topologická entropia - topological entropy synchronizujúci podposun scrambled pair scrambled set Cantor set Mycielski set Bernstein set triangular maps synchronising subshift graph maps Jazyk dok. angličtina Krajina Poľsko Anotácia A subset $S$ of a topological dynamical system $(X,f)$ containing at least two points is called a scrambled set if for any $x,y/in S$ with $x/neq y$ one has $/liminf_{n/to /infty} d(f^n(x), f^n(y)) = 0$ and $/limsup_{n/to /infty} d(f^n(x), f^n(y)) > 0,$ $d$ being the metric on $X$. The system $(X,f)$ is called Li-Yorke chaotic if it has an uncountable scrambled set. These notions were developed in the context of interval maps, in which the existence of a two-point scrambled set implies Li-Yorke chaos and many other chaotic properties. In the present paper we address several questions about scrambled sets in the context of topological dynamics. There the assumption of Li-Yorke chaos, and also stronger ones like the existence of a residual scrambled set, or the fact that $X$ itself is a scrambled set (in these cases the system is called residually scrambled or completely scrambled respectively), are not so highly significant. But they still provide valuable information. First, the following question arises naturally: is it true in general that a Li-Yorke chaotic system has a Cantor scrambled set, at least when the phase space is compact? This question is not answered completely but the answer is known to be yes when the system is weakly mixing or Devaney chaotic or has positive entropy, all properties implying Li-Yorke chaos; we show that the same is true for symbolic systems and systems without asymptotic pairs, which may not be Li-Yorke chaotic. More generally, there are severe restrictions on Li-Yorke chaotic dynamical systems without a Cantor scrambled set, if they exist. A second set of questions concerns the size of scrambled sets inside the space $X$ itself. For which dynamical systems $(X,f)$ do there exist first category, or second category, or residual scrambled sets, or a scrambled set which is equal to the whole space $X$? While reviewing existing results, we give examples of systems on arc-wise connected continua in the plane having maximal scrambled sets with any prescribed cardinalities, in particular systems having at most finite or countable scrambled sets. We also give examples of Li-Yorke chaotic systems with at most first category scrambled sets. It is proved that minimal compact systems, graph maps and a large class of symbolic systems containing subshifts of finite type are never residually scrambled; assuming the Continuum Hypothesis, weakly mixing systems are shown to have second-category scrambled sets. Various examples of residually scrambled systems are constructed. It is shown that for any minimal distal system there exists a non-disjoint completely scrambled system. Finally various other questions are solved. For instance a completely scrambled system may have a factor without any scrambled set, and a triangular map may have a scrambled set with non-empty interior Kategória publikačnej činnosti ABA Číslo archívnej kópie 9584 Kategória ohlasu DOWNAROWICZ, T. Positive topological entropy implies chaos DC2. In Proceedings of the American mathematical society. ISSN 0002-9939, 2014, vol. 142, no. 1, pp. 137-149.
BANKS, John - NGUYEN, Thi T. D. - OPROCHA, Piotr - STANLEY, Brett - TROTTA, Belinda. Dynamics of spacing shifts. In Discrete and continuous dynamical systems. ISSN 1078-0947, 2013, vol. 33, no. 9, pp. 4207-4232.
MOOTHATHU, T. K. Subrahmonian - OPROCHA, Piotr. Syndetic proximality and scrambled sets. In Topological methods in nonlinear analysis. ISSN 1230-3429, 2013, vol. 41, no. 2, pp. 421-461.
LI, Jian - OPROCHA, Piotr. On n-scrambled tuples and distributional chaos in a sequence. In Journal of difference equations and applications. ISSN 1023-6198, 2013, vol. 19, no. 6, pp. 927-941.
FORYS, Magdalena - OPROCHA, Piotr - WILCZYNSKI, Pawel. Factor maps and invariant distributional chaos. In Journal of differential equations. ISSN 0022-0396, 2013, vol. 256, no. 2, pp. 475-502.
DOWNAROWICZ, T. - LACROIX, Y. Topological entropy zero and asymptotic pairs. In Israel journal of mathematics. ISSN 0021-2172, 2012, vol. 189, no. 1, pp. 323-336.
HUANG, Lin - WANG, Huoyun - WU, Hongying - YANG, WJ - LI, QS. A Remark on Invariant Scrambled Sets. In Progess in industrial and civil engineering. Zurich : Trans Tech Publications, 2012. Applied Mechanics and Materials, vol. 204-208. ISBN 978-3-03785-484-6, pp. 4776-4779.
OPROCHA, Piotr. Coherent lists and chaotic sets. In Discrete and continuous dynamical systems. ISSN 1078-0947, 2011, vol. 31, no. 3, pp. 797-825.
TAN FENG - ZHANG RUIFENG. On F-sensitive pairs. In Acta mathematica scientia. ISSN 0252-9602, 2011, vol. 31, no. 4, pp. 1425-1435.
FU, Heman - XIONG, Jincheng - TAN, Feng. On distributionally chaotic and null systems. In Journal of mathematical analysis and applications. ISSN 0022-247X, 2011, vol. 375, no. 1, pp. 166-173.
BRUIN, Henk - JIMENEZ LOPEZ, Victor. On the Lebesgue Measure of Li-Yorke Pairs for Interval Maps. In Communications in mathematical physics. ISSN 0010-3616, 2010, vol. 299, no. 2, pp. 523-560.
BALIBREA, F. - CARABALLO, T. - KLOEDEN, P. E. - VALERO, J. Recent developments in dynamical systems: three perspectives. In International journal of bifurcation and chaos. ISSN 0218-1274, 2010, vol. 20, no. 9, pp. 2591-2636.
BALIBREA, Francisco - GUIRAO, Juan L. G. - OPROCHA, Piotr. On invariant epsilon-scrambled sets. In International journal of bifurcation and chaos. ISSN 0218-1274, 2010, vol. 20, no. 9, pp. 2925-2935.
OPROCHA, Piotr. Families, filters and chaos. In Bulletin of the London mathematical society. ISSN 0024-6093, 2010, vol. 42, pp. 713-725.
FU, Xin-Chu - CHEN, Zhan-He - GAO, Hongjun - LI, Chang-Pin - LIU, Zeng-Rong. Chaotic sets of continuous and discontinuous maps. In Nonlinear analysis-theory methods & applications. ISSN 0362-546X, 2010, vol. 72, no. 1, pp. 399-408.
OPROCHA, Piotr. A note on distributional chaos with respect to a sequence. In Nonlinear analysis-theory methods & applications. ISSN 0362-546X, 2009, vol. 71, no. 11, pp. 5835-5839.
OPROCHA, Piotr. Distributional chaos revisited. In Transactions of the American mathematical society. ISSN 0002-9947, 2009, vol. 361, no. 9, pp. 4901-4925.
CIKLOVA-MLICHOVA, Michaela. Li-Yorke sensitive minimal maps II. In Nonlinearity. ISSN 0951-7715, 2009, vol. 22, no. 7, pp. 1569-1573.
OPROCHA, Piotr. Invariant scrambled sets and distributional chaos. In Dynamical systems : an international journal. ISSN 1468-9367, 2009, vol. 24, no. 1, pp. 31-43.
MOOTHATHU, T. K. Subrahmonian. Quantitative views of recurrence and proximality. In Nonlinearity. ISSN 0951-7715, 2008, vol. 21, no. 12, pp. 2981-2992.
OPROCHA, Piotr - STEFANKOVA, Marta. Specification property and distributional chaos almost everywhere. In Proceedings of the American mathematical society. ISSN 0002-9939, 2008, vol. 136, no. 11, pp. 3931-3940.
ASKRI, Ghassen - NAGHMOUCHI, Issam. Topological size of scrambled sets for local dendrite maps. In Topology and its applications. ISSN 0166-8641, 2014, vol. 164, pp. 95-104.
FORYS, Magdalena - OPROCHA, Piotr - WILCZYNSKI, Pawel. Factor maps and invariant distributional chaos. In Journal of differential equations. ISSN 0022-0396, 2014, vol. 256, no. 2, pp. 475-502.
TAN, Feng - FU, Heman. On distributional n-chaos. In Acta mathematica scientia. ISSN 0252-9602, 2014, vol. 34, no. 5, pp. 1473-1480.
FALNIOWSKI, Fryderyk - KULCZYCKI, Marcin - KWIETNIAK, Dominik - LI, Jian. Two results on entropy, chaos and independence in symbolic dynamics. In Discrete and continuous dynamical systems - series B. ISSN 1531-3492, 2015, vol. 20, no. 10, pp. 3487-3505.
LAMPART, Marek. Lebesgue measure of recurrent scrambled sets. In Springer proceedings in mathematics and statistics : 4th international workshop on nonlinear maps and their applications, NOMA 2013, Zaragoza, 3rd September - 4th September 2013. New York : Springer, 2015. ISBN 978-331912327-1, pp. 115-125.
TAKACS, Michal. Generic chaos on graphs. In Journal of difference equations and applications. ISSN 1023-6198, 2016, vol. 22, no. 1, pp. 1-21.
LI, Jian - YE, Xiang Dong. Recent development of chaos theory in topological dynamics. In Acta mathematica sinica - english series. ISSN 1439-8516, 2016, vol. 32, no. 1, pp. 83-114.
LORANTY, Anna - PAWLAK, Ryszard J. On some sets of almost continuous functions which locally approximate a fixed function. In Real functions '15 : measure theory, real functions, genereal topology : 29th international summer conference on real functions theory, Niedzica, 06th-11th September 2015. ISSN 1210-3195, 2016, vol. 65, pp. 105-118.
TAN, Feng. On an extension of Mycielski's theorem and invariant scrambled sets. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2016, vol. 36, pp. 632-648.
LAMPART, Marek - OPROCHA, Piotr. Chaotic sub-dynamics in coupled logistic maps. In Physical D-nonlinear phenomena. ISSN 0167-2789, 2016, vol. 335, pp. 45-53.
FORYS, Magdalena - HUANG, Wen - LI, Jian - OPROCHA, Piotr. Invariant scrambled sets, uniform rigidity and weak mixing. In Israel journal of mathematics. ISSN 0021-2172, 2016, vol. 211, no. 1, pp. 447-472.
GARCIA-RAMOS, Felipe - JIN, Lei. Mean proximality and mean Li-Yorke chaos. In Proceedings of the American mathematical society. ISSN 0002-9939, 2017, vol. 145, no. 7, pp. 2959-2969.
LI, Jian - OPROCHA, Piotr - YANG, Yini - ZENG, Tiaoying. On dynamics of graph maps with zero topological entropy. In Nonlinearity. ISSN 0951-7715, 2017, vol. 30, no. 12, pp. 4260-4276.
NEUNHÄUSERE, J. Li-Yorke pairs of full Hausdoff dimension for some chaotic dynamical systems. In Mathematica Bohemica. ISSN 0862-7959, 2010, vol. 135, no. 3, pp. 279-289.
FANG, Chun - HUANG, Wen - YI, Yingfei - ZHANG, Pengfei. Dimensions of stable sets and scrambled sets in positive finite entropy systems. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2012, vol. 32, pp. 599-628.
SHIMOMURA, Takashi. Rank 2 proximal Cantor systems are residually scrambled. In Dynamical systems-an international journal. ISSN 1468-9367, 2018, vol. 33, no. 2, pp. 275-302.
BORONSKI, Jan P. - KUPKA, Jiri - OPROCHA, Piotr. A mixing completely scrambled system exists. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2019, vol. 39, part 1, pp. 62-73.
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Názov Functional envelope of a dynamical system Aut.údaje Joseph Auslander, Sergii Kolyada, Ľubomír Snoha Autor Auslander Joseph (34%)
Spoluautori Kolyada Sergiy (33%)
Snoha Ľubomír 1955- (33%) UMBFP10 - Katedra matematiky
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článok
Názov Topological entropy, homological growth and zeta functions on graphs Aut.údaje Julio Ferreira Alves, Roman Hric, José Sousa Ramos Autor Alves Julio Ferreira (34%)
Spoluautori Hric Roman 1970- (33%) UMBFP10 - Katedra matematiky
Ramos José Sousa (33%)
Zdroj.dok. Nonlinearity. Vol. 18, no. 2 (2005), pp. 591-607. - Bristol : IOP Publishing, 2005 Kľúč.slová topologická entropia - topological entropy kneading theory tree maps grafy - charts - graphs Jazyk dok. angličtina Krajina Veľká Británia Systematika 515.1 Kategória publikačnej činnosti ADC Číslo archívnej kópie 30530 Kategória ohlasu LLIBRE, J. - MISIUREWICZ, M. Negative periodic orbits for graph maps. In Nonlinearity. ISSN 0951-7715, 2006, vol. 19, no. 3, pp. 741-746.
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