Výsledky vyhľadávania
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 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.
LI, Jian - LU, Jie - XIAO, Yuanfen. A dynamical version of the Kuratowski-Mycielski theorem and invariant chaotic sets. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2019, vol. 39, part. 11, pp. 3089-3110.
LIN, Zijie - TAN, Feng. Generalized specification property and distributionally scrambled sets. In Journal of differential equations. ISSN 0022-0396, 2020, vol. 269, no. 7, pp. 5646-5660.
TANG, Yan Jie - YIN, Jian Dong. Distributional chaos occurring on the set of proper positive upper banach density recurrent points of one-sided symbolic systems. In Acta mathematica sinica : english series. ISSN 1439-8516, 2020, vol. 36, no. 1, pp. 66-76.
LI, Jian - LU, Jie - XIAO, Yuanfen. The Hausdorff dimension of multiply Xiong chaotic sets. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2020, vol. 40, no. 11, pp. 3056-3077.
CHOTIBUT, Thiparat - FALNIOWSKI, Fryderyk - MISIUREWICZ, Michał - PILIOURAS, Georgios. The route to chaos in routing games : when is price of anarchy too optimistic? In Advances in neural information processing systems : 34th conference on neural information processing systems (NeurIPS 2020), virtual, 6th-12th December 2020. ISSN 1049-5258, 2020, pp. [1-12].
CHEN, An - TIAN, Xueting. Distributional chaos in multifractal analysis, recurrence and transitivity. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2021, vol. 41, no. 2, pp. 349-378.
XIAO, Yuanfen. Mean li-yorke chaotic set along polynomial sequence with full hausdorff dimension for β-Transformation. In Discrete and continuous dynamical systems. ISSN 1078-0947, 2021, vol. 41, no. 2, pp. 525-536.
GESCHKE, Stefan - GREBIK, Jan - MILLER, Benjamin D. Scrambled cantor sets. In Proceedings of the American mathematical society. ISSN 0002-9939, 2021, vol. 149, no. 10, pp. 4461-4468.
ABDULSHAKOOR, Alqahtani Bushra M. - LIU, Weibin. Li-Yorke chaotic property of cookie-cutter systems. In AIMS mathematics. ISSN 2473-6988, 2022, vol. 7, no. 7, pp. 13192-13207.
DENG, Liuchun - KHAN, M. Ali - RAJAN, Ashvin. Li-yorke chaos almost everywhere : on the pervasiveness of disjoint extremally scrambled sets. In Bulletin of the Australian mathematical society. ISSN 0004-9727, 2022, vol. 106, no. 1, pp. 132-143.
DAGHAR, Aymen - NAGHMOUCHI, Issam. Entropy of induced maps of regular curves homeomorphisms. In Chaos, solitons and fractals. ISSN 0960-0779, 2022, vol. 157, art. no. 111988, pp. 1-6.
TAN, Feng. Random dynamical systems with positive entropy imply second type of distributional chaos. In Journal of differential equations. ISSN 0022-0396, 2022, vol. 328, pp. 133-156.
Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ nerozpoznaný
Názov Extensions of dynamical systems without increasing the entropy Aut.údaje Matúš Dirbák Autor Dirbák Matúš 1983- (100%) UMBFP10 - Katedra matematiky
Zdroj.dok. Nonlinearity. Vol. 21, no. 11 (2008), pp. 2693-2713. - Bristol : IOP Publishing, 2008 Kľúč.slová entropia rozšírenie - extension trojuholníkové zobrazenia hypertranzitívne vlastnosti entropy triangular maps Jazyk dok. angličtina Krajina Veľká Británia Systematika 51 Kategória publikačnej činnosti ADC Číslo archívnej kópie 22772 Kategória ohlasu KWIETNIAK, Dominik - UBIK, Martha. Topological entropy of compact subsystems of transitive real line maps. In Dynamical systems-an international journal. ISSN 1468-9367, 2013, vol. 28, no. 1, pp. 62-75.
KOLYADA, Sergii - MATVIICHUK, Mykola. On extensions of transitive maps. In Discrete and continuous dynamical systems. ISSN 1078-0947, 2011, vol. 30, no. 3, pp. 767-777.
KOLJADA, Sergij. Topologična dinamika minimalinisti, entropija ta chaos. Kiev : Nacionalina akademija nauk Ukrajini, Institut matematiki, 2011. 340 s. ISBN 978-966-02-6280-5.
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.
MOOTHATHU, T. K. Subrahmonian. Chaotic extensions of continuous maps on compact manifolds. In Journal of difference equations and applications. ISSN 1023-6198, 2017, vol. 23, no. 9, pp. 1610-1617.
Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika nerozpoznaný
4.Recurrence equals uniform recurrence does not imply zero entropy for triangular maps of the square
Názov Recurrence equals uniform recurrence does not imply zero entropy for triangular maps of the square Aut.údaje Ľubomír Snoha, Vladimír Špitalský Autor Snoha Ľubomír 1955- (50%) UMBFP10 - Katedra matematiky
Spoluautori Špitalský Vladimír 1973- (50%) UMBFP10 - Katedra matematiky
Zdroj.dok. Discrete and Continuous Dynamical Systems. Vol. 14, no. 4 (2006), pp. 821-835. - Sprinfield : American Institute of Mathematical Sciences, 2006 Kľúč.slová triangulárne mapy nulová entropia zero etnropy Jazyk dok. angličtina Systematika 51 Kategória publikačnej činnosti ADC Číslo archívnej kópie 3663 Kategória ohlasu BRUNO, D. - JIMÉNEZ LÓPEZ, V. Asymptotical periodicity for analytic triangular maps of type less than 2∞. In Journal of Mathematical Analysis and Applications. ISSN 0022-247X, 2010, vol. 361, no. 1, pp. 1-9.
KORNECKÁ-KURKOVÁ, V. Sharkovsky's program for the classification of triangular maps is almost completed. In Nonlinear Analysis, Theory, Methods and Applications. ISSN 0362-546X, 2010, vol. 73, no. 6, pp. 1663-1669.
PAGANONI, L - SMITAL, J. Strange distributionally chaotic triangular maps. In Chaos solitions & fractals. ISSN 0960-0779, 2005, vol. 26, no. 2, pp. 581-589.
KORNECKÁ, Veronika. On a problem of Sharkovsky concerning the classification of triangular maps. In Iteration theory (ECIT ´06). ISSN 1016-7692, 2007, no. 351, pp. 91-99.
Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika 
článok
Názov From a Floyd-Auslander minimal system to an odd triangular map Aut.údaje Jacek Chudziak, Ľubomír Snoha, Vladimír Špitalský Autor Chudziak Jacek (34%)
Spoluautori Snoha Ľubomír 1955- (33%) UMBFP10 - Katedra matematiky
Špitalský Vladimír 1973- (33%) UMBFP10 - Katedra matematiky
Zdroj.dok. Journal of Mathematical Analysis and Applications. Vol. 296, no. 2 (2004), pp. 393-402. - San Diego : Academic Press, 2004 Kľúč.slová triangular maps Floyd-Auslander minimal system Jazyk dok. angličtina Krajina Spojené štáty Systematika 51 Kategória publikačnej činnosti ADC Číslo archívnej kópie 1581 Kategória ohlasu PAGANONI, L - SMÍTAL, J. Strange distributionally chaotic triangular maps II. In Chaos solitons & fractals. ISSN 0960-0779, 2006, vol. 28, no. 5, pp. 1356-1365.
BALIBREA, F. - SMÍTAL, J. A triangular map with homoclinic orbits and no infinite ω-limit set containing periodic points. In Topology and its applications. ISSN 0166-8641, 2006, vol. 153, no. 12, pp. 2092-2095.
GUIRAO, Juan Luis García - PELAYO, Fernando López. On skew-product maps with the base having a closed set of periodic points. In International journal of computer mathematics. ISSN 0020-7160, 2008, vol. 85, no. 3-4, pp. 441-445.
GUIRAO, J.L.G. - RUBIO, R.G. Nonwandering set of points of skew-product maps with base having closed set of periodic points. In Journal of mathematical analysis and applications. ISSN 0022-247X, 2010, vol. 362, no. 2, pp. 350-354.
BIŚ, Andrzej - KOZŁOWSKI, 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.
VYBOST, Miroslav. Classification of Floyd-Auslander systems with fixed pattern. In Topology and its applications. ISSN 0166-8641, 2022, vol. 314, art. no. 108143.
Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika nerozpoznaný
Názov On topological entropy of triangular maps of the square Aut.údaje Lluís Alseda, Sergiy Kolyada, Ľubomír Snoha Autor Alseda Lluís (34%)
Spoluautori Kolyada Sergiy (33%)
Snoha Ľubomír 1955- (33%) UMBFP10 - Katedra matematiky
Zdroj.dok. Bulletin of the Australian Mathematical Society. Vol. 48, no. 1 (1993), pp. 55-67. - St. Lucia : Australian Mathematical Publishing Asociation, 1992 Kľúč.slová topologická entropia - topological entropy triangular maps Jazyk dok. angličtina Krajina Nemecko Systematika 51 Kategória publikačnej činnosti ADE Číslo archívnej kópie 27188 Kategória ohlasu HUANG, Yu - CHEN, Goong - MA, Daowei. Rapid fluctuations of chaotic maps on R-N. In Journal of mathematical analysis and applications. ISSN 0022-247X, 2006, vol. 323, no. 1, pp. 228-252.
YU, H. The Marotto Theorem on planar monotone or competitive maps. In Chaos solitons & fractals. ISSN 0960-0779, 2004, vol. 19, no. 5, pp. 1105-1112.
MIRA, C. Chaos and fractal properties induced by noninvertibility of models in the form of maps. In Chaos solitons & fractals. ISSN 0960-0779, 2000, vol. 11, no. 1-3, pp. 251-262.
FORTI, G. L. - PAGANONI, L. - SMITAL, J. Strange triangular maps of the square. In Bulletin of the Australian mathematical society. ISSN 0004-9727, 1995, vol. 51, no. 3, pp. 395-415.
Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ článok
Názov On omega-limit sets of triangular maps Aut.údaje Sergii F. Kolyada, Ľubomír Snoha Autor Kolyada Sergiy (100%)
Spoluautori Snoha Ľubomír 1955- (50%) UMBFP10 - Katedra matematiky
Zdroj.dok. Real Analysis Exchange. Vol. 18, no. 1 (1992/1993), pp. 115-130. - East Lansing : Michigan State University Press, 1992 Kľúč.slová triangulárne mapy triangular maps Jazyk dok. angličtina Systematika 51 Kategória publikačnej činnosti ADE Číslo archívnej kópie 27187 Kategória ohlasu BEN REJEB, Khadija - SALHI, Ezzeddine - VAGO, Gioia. Nonexpansive homeomorphisms. In Topology and its applications. ISSN 0166-8641, 2013, vol. 160, no. 15, pp. 1969-1986.
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