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  1. TitleIntroduction to the qualitative theory of differential systems
    Subtitleplanar, symmetric and continuous piecewise linear systems
    Author infoJaume Llibre, Antonio E. Teruel
    Author Llibre Jaume
    Co-authors Teruel Antonio E.
    Issue dataBasel : Birkhäuser , c2014. - xiii; 289 s. : obr., 25 cm
    Edition Birkhäuser advanced texts
    ISBN978-3-0348-0656-5
    NoteBibliografia s. 283-286. Register
    Keywords matematika - mathematics   diferenciálne rovnice - differential equations   vysokoškolské učebnice - učebnice vysokých škôl   university textbooks  
    LanguageEnglish
    CountrySwitzerland
    systematics 51
    517.9
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexkni - BOOKS
    Copy count1, currently available 0, at library only 1
    Call numberLocationSublocationUmiestnenieInfo
    357930Univerzita Mateja BelaDepartment of mathematicsIn-Library Use Only
  2. TitleAxiomatic definition of the topological entropy on the interval
    Author infoLluís Alseda ... [et al.]
    Author Alseda Lluís (25%)
    Co-authors Kolyada Sergiy (25%)
    Llibre Jaume (25%)
    Snoha Ľubomír 1955- (25%) UMBFP10 - Katedra matematiky
    Source document Aequationes mathematicae. Vol. 65 (2003), s. 113-132. - Basel : Birkhäuser Verlag, 2003
    Keywords topologická entropia - topological entropy   axiomatická definícia   chaos - chaotic behavior in systems  
    LanguageEnglish
    CountryBelgium
    systematics 515.1
    Public work category ADE
    Repercussion category DIKRANJAN, Dikran - SANCHIS, Manuel. Dimension and entropy in compact topological groups. In Journal of mathematical analysis and applications. ISSN 0022-247X, 2019, vol. 476, no. 2, pp. 337-366.
    NIA, Mehdi Fatehi - MOEINADDINI, Fatemeh. Topological entropy of one dimensional iterated function systems. In Honam mathematical journal. ISSN 1225-293X, 2020, vol. 42, no. 4, pp. 681-699.
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
  3. TitleCombinatorial Dynamics and Entropy in Dimension One
    Author infoLluís Alseda, Jaume Llibre, Michal Misiurewicz
    Author Alseda Lluís
    Co-authors Llibre Jaume
    Misiurewicz Michał
    Issue dataSingapore : World Scientific Publishing , 2000. - 415 s.
    Issue2nd ed.
    ISBN981-02-4053-8
    Keywords matematika - mathematics   kombinatorika - kombinatorická analýza - combinatorics - combinatorial analysis   entropia   combinatorial dynamics  
    LanguageEnglish
    CountrySingapore
    systematics 519.1=20
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexkni - BOOKS
    Copy count1, currently available 0, at library only 1
    Call numberLocationSublocationUmiestnenieInfo
    243900Univerzita Mateja BelaDepartment of mathematicsIn-Library Use Only
  4. TitleEntropy and periodic points for transitive maps
    Author infoLluís Alseda, Sergii Kolyada, J. Llibre, Ľubomír Snoha
    TitleSubtitle Translation : Entropia a periodické body tranzitívnych zobrazení
    Author Alseda Lluís
    Co-authors Kolyada Sergiy
    Llibre Jaume
    Snoha Ľubomír 1955- UMBFP10 - Katedra matematiky
    Source document Transactions of the American Mathematical Society. Vol. 351, no. 4 (1999), pp. 1551-1573. - Providence : American Mathematical Society, 1999
    Keywords topologická entropia - topological entropy   periodické body   tranzitívne zobrazenia   trojuholníkové zobrazenia  
    LanguageEnglish
    CountryUnited States of America
    systematics 517
    Public work category ADC
    Repercussion category 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.
    HARANCZYK, Grzegorz - KWIETNIAK, Dominik. When lower entropy implies stronger Devaney chaos. In Proceedings of the American Mathematical Society. ISSN 0002-9939, 2009, vol. 137, no. 6, pp. 2063-2073.
    DIRBAK, Matus. Extensions of dynamical systems without increasing the entropy. In Nonlinearity. ISSN 0951-7715, 2008, vol. 21, no. 11, pp. 2693-2713.
    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.
    LIAO, Gongfu - MA, Xianfeng - WANG, Lidong. Individual chaos implies collective chaos for weakly mixing discrete dynamical systems. In Chaos solitions & fractals. ISSN 0960-0779, 2007, vol. 32, no. 2, pp. 604-608.
    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.
    STEFANKOVA, Marta. On topological entropy of transitive triangular maps. In Topology and its applications. ISSN 0166-8641, 2006, vol. 153, no. 14, pp. 2673-2679.
    CATTANEO, Gianpiero - DENNUNZIO, Alberto - FARINA, Fabio. A survey on transitivity in discrete time dynamical systems. Application to symbolic systems and related languages. In RAIRO-theoretical informatics and applications. ISSN 0988-3754, 2006, vol. 40, no. 2, pp. 333-352.
    FEDELI, A. On chaotic set-valued discrete dynamical systems. In Chaos solitons & fractals. ISSN 0960-0779, 2005, vol. 23, no. 4, pp. 1381-1384.
    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.
    EFREMOVA, L. S. New set-valued functions in the theory of skew products of interval maps. In Nonlinear analysis-theory methods & applications. ISSN 0362-546X, 2001, vol. 47, no. 8, pp. 5297-5308.
    YE, X. D. Topological entropy of transitive maps of a tree. In Eegodic theory and dynamical systems. ISSN 0143-3857, 2000, vol. 20, pp. 289-314.
    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.
    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.
    SPITALSKY, Vladimir. Length-expanding Lipschitz maps on totally regular continua. In Journal of mathematical analysis and applications. ISSN 0022-247X, 2014, vol. 412, no. 1, pp. 15-28.
    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.
    SPITALSKY, Vladimir. Transitive dendrite map with infinite decomposition ideal. In Discrete and continuous dynamical systems. ISSN 1078-0947, 2015, vol. 35, no. 2, pp. 771-792.
    SPITALSKY, Vladimir. Topological entropy of transitive dendrite maps. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2015, vol. 35, pp. 1289-1314.
    EFREMOVA, L. S. - FIL’CHENKOV, A. S. Boundary conditions for maps in fibers and topological transitivity of skew products of interval maps. In Journal of mathematical sciences (United States). ISSN 1072-3374, 2015, vol. 208, no. 1, pp. 109-114.
    LI, Risong. A note on chaos and the shadowing property. In International journal of general systems. ISSN 0308-1079, 2016, vol. 45, no. 6, pp. 675-688.
    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.
    SÁNCHEZ, Iván - SANCHIS, Manuel - VILLANUEVA, Hugo. Chaos in hyperspaces of nonautonomous discrete systems. In Chaos solitons and fractals. ISSN 0960-0779, 2017, vol. 94, pp. 68-74.
    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.
    ASKRI, Ghassen. Li-Yorke chaos for dendrite maps with zero topological entropy and omega-limit sets. In Discrete and continuous dynamical systems. ISSN 1078-0947, 2017, vol. 37, no. 6, pp. 2957-2976.
    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.
    GOMES, Orlando. Routes to chaos in macroeconomic theory. In Journal of economic studies. ISSN 0144-3585, 2006, vol. 33, no. 6, pp. 437-468.
    MIRALLES, Alejandro - MURILLO-ARCILA, Marina - SANCHIS, Manuel. Sensitive dependence for nonautonomous discrete dynamical systems. In Journal of mathematical analysis and applications. ISSN 0022-247X, 2018, vol. 463, no. 1, pp. 268-275.
    MAI, Jiehua - SHI, Enhui. (R)over-bar = (P)over-bar FOR MAPS OF DENDRITES X WITH Card(End(X)) < c. In International journal of bifurcation and chaos. ISSN 0218-1274, 2009, vol. 19, no. 4, pp. 1391-1396.
    EFREMOVA, L.S. - FILCHENKOV, A.S. Topological transitive skew product with a negative shvarcian of fiber maps. In Trudy Moskovskogo fiziko-tekhnicheskogo instituta. ISSN 2072-6759, 2012, vol. 4, no. 4, pp. 82-93.
    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.
    ACOSTA, Gerardo - SANCHIS, Manuel. A note on nonautonomous discrete dynamical systems : in honour of Manuel López-Pellicer. In 2nd meeting in topology and functional analysis : TFA 2018, Elche, Spain, 07th-08th June 2018. New York : Springer, 2019. ISBN 978-303017375-3, pp. 29-41.
    ANDRES, Jan. Chaos for multivalued maps and induced hyperspace maps. In Chaos solitons and fractals. ISSN 0960-0779, 2020, vol. 138, art. no. 109898, pp. 1-8.
    ANDRES, Jan - LUDVIK, Pavel. Topological entropy of composition and impulsive differential equations satisfying a uniqueness condition. In Chaos, solitons and fractals. ISSN 0960-0779, 2022, vol. 156, art. no. 111800, pp. 1-11.
    LI, Risong - LU, Tianxiu - QUAN, Weizhen - PI, Jingmin. A note on topologically transitive tree maps. Journal of applied analysis and computation. ISSN 2156-907X, 2020, vol. 12, no. 5, pp. 1801-1815.
    ABBAR, Arafat - COINE, Clement - PETITJEAN, Colin. On the dynamics of Lipschitz operators. In Integral equations and operator theory. ISSN 0378-620X, 2021, vol. 93, no. 4, pp. 1-27.
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    ReferencesPERIODIKÁ-Súborný záznam periodika
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  5. TitleEntropy and periodic points for transitive maps
    Author infoLl. Alseda, S. Kolyada, J. Llibre, Ľubomír Snoha
    TitleSubtitle Translation : Entropia a periodické body pre tranzitívne zobrazenia
    Author Alseda Ll.
    Co-authors Kolyada Sergiy
    Llibre Jaume
    Snoha Ľubomír 1955- UMBFP10 - Katedra matematiky
    Source documentCentre de recerca matemática. preprint núm. 305, s. 1-39. - Bellaterra : CRM (Centre de recerca matematica), 1995
    Keywords entropia   dynamické systémy - dynamical systems   tranzitívne zobrazenia   štúdie   preprinty  
    LanguageEnglish
    CountrySpain
    systematics 515.1
    Public work category AFI
    Catal.org.UKUMB###UK UMB###BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
  6. TitleCombinatorial Dynamics and Entropy in Dimension One
    Author infoLluís Alseda, Jaume Llibre, Michal Misiurewicz
    Author Alseda Lluís
    Co-authors Llibre Jaume
    Misiurewicz Michał
    Issue dataSingapore : World Scientific Publishing , 1993. - 329 s.
    Issue1st ed.
    Edition Advanced series in nonlinear dynamics , vol. 5
    ISBN981-02-1344-1
    Keywords matematika - mathematics   kombinatorika - kombinatorická analýza - combinatorics - combinatorial analysis   entropia  
    LanguageEnglish
    CountrySingapore
    systematics 519.1=20
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexkni - BOOKS
    Copy count1, currently available 0, at library only 1
    Call numberLocationSublocationUmiestnenieInfo
    211169Univerzita Mateja BelaDepartment of mathematicsIn-Library Use Only


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