Výsledky vyhľadávania
Názov Rozšírenia dynamických systémov bez zväčšenia entropie Podnázov dizertačná doktorandská práca Aut.údaje Matúš Dirbák; školiteľ: Lubomír Snoha Autor Dirbák Matúš 1983-
Ďalší autori Snoha Ľubomír 1955- (Školiteľ (konzultant))
Korp. Univerzita Mateja Bela . Fakulta prírodných vied . Katedra matematiky , Banská Bystrica, Slovensko Vyd.údaje Banská Bystrica , 2013. - 137 s. Kľúč.slová topologická entropia - topological entropy trojuholníkové zobrazenia matematika - mathematics Jazyk dok. slovenčina Krajina Slovenská republika Systematika 51 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xk - Kvalifikačné práce Počet ex. 1, z toho voľných 0, prezenčne 1 
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.
Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika 
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
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 Jungck theorem for triangular maps and related results Aut.údaje Martin Grinč, Ľubomír Snoha Preklad názvu podnázvu : Jungckova veta pre trojuholníkové zobrazenia a príbuzné výsledky Autor Grinč Martin UMBFP10 - Katedra matematiky
Spoluautori Snoha Ľubomír 1955- UMBFP10 - Katedra matematiky
Zdroj.dok. Applied General Topology. Roč. 1, č. 1 (2000), s. 83-91. - Valencia : Universidad Politécnica de Valencia, 2000 Kľúč.slová topológia - topology kompatibilné zobrazenia vlastnosť úplnej invariancie Jungckova veta Sachymského veta pevné body periodické body trojuholníkové zobrazenia Jazyk dok. angličtina Krajina Španielsko Systematika 517 Kategória publikačnej činnosti ADE Kategória ohlasu PATHAK, H. K. - HUSSAIN, N. Common fixed points for Banach operator pairs with applications. In Nonlinear analysis-theory methods & applications. ISSN 0362-546X, 2008, vol. 69, no. 9, pp. 2788-2802.
GUIRAO, Juan Luis Garcia - PELAYO, Fernando Lopez. 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.
JUNGCK, G. - HUSSAIN, N. Compatible maps and invariant approximations. In Journal of mathematical analysis and applications. ISSN 0022-247X, 2007, vol. 325, no. 2, pp. 1003-1012.
CHANDOK, Sumit - NARANG, T. D. Common fixed points and invariant approximation for Gregus type contraction mappings. In Hacettepe journal of mathematics and statistics. ISSN 1303-5010, 2011, vol. 40, no. 6, pp. 871-883.
CHANDOK, Sumit. Some common fixed point theorems for Ćirić type contraction mapping. In Tamkang journal of mathematics. ISSN 0049-2930, 2012, vol. 43, no. 2.
BROWN, Robert F. A Good question won't go away : an example of mathematical research. In American mathematical monthly. ISSN 0002-9890, 2020, vol. 128, no. 1, pp. 62-68.
ANUSIC, Ana - MOURON, Christopher. Strongly commuting interval maps. In Fundamenta mathematicae. ISSN 0016-2736, 2022, vol. 257, no. 1, pp. 39-68.
Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ nerozpoznaný
Názov Entropy and periodic points for transitive maps Aut.údaje Lluís Alseda, Sergii Kolyada, J. Llibre, Ľubomír Snoha Preklad názvu podnázvu : Entropia a periodické body tranzitívnych zobrazení Autor Alseda Lluís
Spoluautori Kolyada Sergiy
Llibre Jaume
Snoha Ľubomír 1955- UMBFP10 - Katedra matematiky
Zdroj.dok. Transactions of the American Mathematical Society. Vol. 351, no. 4 (1999), pp. 1551-1573. - Providence : American Mathematical Society, 1999 Kľúč.slová topologická entropia - topological entropy periodické body tranzitívne zobrazenia trojuholníkové zobrazenia Jazyk dok. angličtina Krajina Spojené štáty Systematika 517 Kategória publikačnej činnosti ADC Kategória ohlasu SPITALSKY, Vladimir. Entropy and exact Devaney chaos on totally regular continua. In Discrete and continuous dynamical systems. ISSN 1078-0947, 2013, vol. 33, no. 7, pp. 3135-3152.
CHEN, Zhanhe - SUN, Taixiang - SU, Guangwang. Intra-orbit separation of orbits of tree maps. In Journal of computational analysis and applications. ISSN 1521-1398, 2013, vol. 15, no. 4, pp. 699-706.
LI, Risong. The large deviations theorem and ergodic sensitivity. In Communications in nonlinear science and numerical simulation. ISSN 1007-5704, 2013, vol. 18, no. 4, pp. 819-825.
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.
CHANG, Shu-Ming - CHEN, Hsun-Hui. Applying snapback repellers in resource budget models. In Chaos. ISSN 1054-1500, 2011, vol. 21, no. 4.
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.
CANOVAS, J. S. - KUPKA, J. Topological entropy of fuzzified dynamical systems. In Fuzzy sets and systems. ISSN 0165-0114, 2011, vol. 165, no. 1, pp. 37-49.
HARANCZYK, Grzegorz - KWIETNIAK, Dominik - OPROCHA, Piotr. A note on transitivity, sensitivity and chaos for graph maps. In Journal of difference equations and applications. ISSN 1023-6198, 2011, vol. 17, no. 10, pp. 1549-1553.
FEDELI, Alessandro - LE DONNE, Attilio. A note on the uniform limit of transitive dynamical systems. In Bulletion of the Belgian mathematical society-Simon Stevin. ISSN 1370-1444, 2009, vol. 16, no. 1, pp. 59-66.
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DIRBAK, Matus. Extensions of dynamical systems without increasing the entropy. In Nonlinearity. ISSN 0951-7715, 2008, vol. 21, no. 11, pp. 2693-2713.
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Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika nerozpoznaný
Názov Topological entropy of nonautonomous piecewise monotone dynamical systems on the interval Aut.údaje Sergii Kolyada, Michal Misiurewicz, Ľubomír Snoha Preklad názvu podnázvu : Topologická entropia neautonómnych po častiach monotónnych dynamických systémov na intervale Autor Kolyada Sergiy
Spoluautori Misiuriewicz Michal
Snoha Ľubomír 1955- UMBFP10 - Katedra matematiky
Zdroj.dok. Topological Entropy of Nonautonomous Piecewise Monotone Dynamical Systems on the Interval. Preprint. 18 s.. - Bures-sur-Yvette (France) : Institut des Hautes Études Scientifiques, 1998 Kľúč.slová matematika - mathematics dynamické systémy - dynamical systems trojuholníkové zobrazenia topologická entropia - topological entropy Jazyk dok. angličtina Krajina Francúzsko Systematika 517 Kategória publikačnej činnosti AFI Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ nerozpoznaný
Názov Topological Dynamics of Triangular Maps of the Square Aut.údaje Sergii Kolyada, Ľubomír Snoha Preklad názvu podnázvu : Topologická dynamika trojuholníkových zobrazení štvorca Autor Kolyada Sergiy
Spoluautori Snoha Ľubomír 1955- UMBFP10 - Katedra matematiky
Zdroj.dok. Iteration theory : Proceedings of the European Conference. Batschuns, Austria 13-19 September 1992. S. 165-171. - Singapore : World Scientific Publishing, 1996 Poznámka Lit. 27 zázn. Kľúč.slová matematická analýza - mathematical analysis dynamické systémy - dynamical systems topologická dynamika - topological dynamics trojuholníkové zobrazenia štúdie Jazyk dok. angličtina Krajina Slovenská republika Systematika 517 Kategória publikačnej činnosti AFC Kategória ohlasu 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.
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MISIUREWICZ, Micha. Periodic points of latitudinal sphere maps. In Journal of fixed point theory and applications. ISSN 1661-7738, 2014, vol. 16, no. 1-2, pp. 149-158.
Katal.org. UKUMB###BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ kniha