Title | Entropy and periodic points for transitive maps
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Author info | Lluís Alseda, Sergii Kolyada, J. Llibre, Ľubomír Snoha
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Title | Subtitle Translation : Entropia a periodické body tranzitívnych zobrazení
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Author | Alseda Lluís
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Co-authors | Kolyada Sergiy Llibre Jaume Snoha Ľubomír 1955- UMBFP10 - Katedra matematiky
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Source document | Transactions of the American Mathematical Society. Vol. 351, no. 4 (1999), pp. 1551-1573. - Providence : American Mathematical Society, 1999
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Keywords |
topologická entropia - topological entropy
periodické body
tranzitívne zobrazenia
trojuholníkové zobrazenia
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Language | English
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Country | United States of America
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systematics | 517
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Public work category | ADC
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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.
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| 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.
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Catal.org. | BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
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Database | xpca - PUBLIKAČNÁ ČINNOSŤ
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References | PERIODIKÁ-Súborný záznam periodika
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