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Title Proceedings of the American Mathematical Society Issue data Providence : American Mathematical Society , 2014 ISSN 0002-99391088-6826 Form. Descr. časopisy - journals, elektronické časopisy - electronic journals Year, No. Vol. 142 no. 6 (2014) Language English Country United States of America URL Link na zdrojový dokument Public work category GII Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References - PERIODIKÁ - Súborný záznam periodika (1) - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika ARTICLES 2014: For graph maps, one scrambled pair implies Li-Yorke chaos 
journal
Title For graph maps, one scrambled pair implies Li-Yorke chaos Par.title Pre zobrazenia grafov, jedna chaotická dvojica implikuje Li-Yorkov chaos Author info Sylvie Ruette, Ľubomír Snoha Author Ruette Sylvie (50%)
Co-authors Snoha Ľubomír 1955- (50%) UMBFP10 - Katedra matematiky
Source document Proceedings of the American Mathematical Society. Vol. 142, no. 6 (2014), pp. 2087-2100. - Providence : American Mathematical Society, 2014 Keywords scrambled pair Li-Yorkov chaos - Li-Yorke chaos grafy - charts - graphs metrické priestory - metric spaces Language English Country United States of America systematics 51 Annotation It is known that, for interval and circle maps, the existence of a scrambled pair implies Li-Yorke chaos, in fact the existence of a Cantor scrambled set. We prove that the same result holds for graph maps. We further show that on compact countable metric spaces one scrambled pair implies the existence of an infinite scrambled set Public work category ADC No. of Archival Copy 31468 Repercussion category RAINES, Brian E. - UNDERWOOD, Tyler. Scrambled sets in shift spaces on a countable alphabet. In Proceedings of the American Mathematical Society. ISSN 0002-9939, 2016, vol. 144, no. 1, pp. 217-224.
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.
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.
EL ABDALAOUI, El Houcein - ASKRI, Ghassen - MARZOUGUI, Habib. Mobius disjointness conjecture for local dendrite maps. In Nonlinearity. ISSN 0951-7715, 2019, vol. 32, no. 1, pp. 285-300.
KOSTIĆ, Marko. Chaos for linear operators and abstract differential equations. [Hauppauge] : Nova science publishers, 2020. 338 p. ISBN 978-153616896-9.
LI, Jian - LIANG, Xianjuan - OPROCHA, Piotr. Graph maps with zero topological entropy and sequence entropy pairs. In Proceedings of the American mathematical society. ISSN 0002-9939, 2021, vol. 149, no. 11, pp. 4757-4770.
FORYS-KRAWIEC, Magdalena - HANTAKOVA, Jana - OPROCHA, Piotr. On the structure of α-limit sets of backward trajectories for graph maps. In Discrete and continuous dynamical systems. ISSN 1078-0947, 2022, vol. 42, no. 3, pp. 1435-1463.
ABDELLI, Hafedh - NAGHMOUCHI, Issam - REZGUI, Houssem Eddine. Local dendrite maps without periodic points. In Topology and its applications. ISSN 0166-8641, 2022, vol. 305, art. no. 107901, pp. 1-14.
LI, Jian - OPROCHA, Piotr - ZHANG, Guohua. Quasi-graphs, zero entropy and measures with discrete spectrum. In Nonlinearity. ISSN 0951-7715, 2022, vol. 35, no. 3, pp. 1360-1379.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
unrecognised
Title Topological sequence entropy for maps of the interval Author info Roman Hric Title Subtitle Translation : Topologická sekvenciálna entropia zobrazení intervalu Author Hric Roman 1970- UMBFP10 - Katedra matematiky
Source document Proceedings of the American Mathematical Society. Vol. 127, no. 7 (1999), pp. 2045-2052. - Providence : American Mathematical Society, 1999 Keywords nafukovanie orbít chaotické zobrazenia topologická entropia sekvenciálna Language English Country United States of America systematics 517 Public work category ADC Repercussion category CÁNOVAS, JS. On topological sequence entropy of piecewise monotonic mappings. In Bulletin of the Australian matematical cociety. ISSN 0004-9727, 2000, vol. 62, no. 1, pp. 21-28.
KUANG, Rui - CHENG, Wen-Chiao - LI, Bing. Fractal entropy of nonautonomous systems. In Pacific Journal of Matematics. ISSN 0030-8730, 2013, vol. 262, no. 2, pp. 421-436.
CÁNOVAS, JS. Topological sequence entropy of interval maps. In Nonlinearity. ISSN 0951-7715, 2004, vol. 17, no. 1, pp. 49-56.
OPROCHA, Piotr - WILCZYNSKI, Pawel. Topological entropy for local processes. In Journal of differential equations. ISSN 0022-0396, 2010, vol. 249, no. 8, pp. 1929-1967.
LOPEZ, VJ - PENA, JSC. Computing explicitly topological sequence entropy: the unimodal case. In Annales de l' institute fourier. ISSN 0373-0956, 2002, vol. 52, no. 4, pp. 1093-[1120].
TAN, Feng - YE, Xiangdong - ZHANG, Ruifeng. The set of sequence entropies for a given space. In Nonlinearity. ISSN 0951-7715, 2010, vol. 23, no. 1, pp. 159-178.
CÁNOVAS, José Salvador. A guide to topological sequence entropy. In Progress in Mathematical Biology Research. ISSN 0029-9399, 2008, vol. 127, no. 7, pp. 101-139.
CÁNOVAS, Jose S. Topological entropy in one dimensional dynamics. In Advances in Discrete Dynamics. New York : Nova Science Publishers, 2012. ISBN 978-161209678-0, pp. 115-154.
MAJEROVÁ, Jana. Correlation integral and determinism for a family of 2(infinity) maps. In Discrete and continuous dynamical systems. ISSN 1078-0947, 2016, vol. 36, no. 9, pp. 5067-5096.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title Proceedings of the American Mathematical Society Issue data Providence : American Mathematical Society , 1999 ISSN 0002-99391088-6826 Form. Descr. časopisy - journals, elektronické časopisy - electronic journals Year, No. Vol. 127 no. 7 (1999) Language English Country United States of America URL Link na zdrojový dokument Public work category GII Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References - PERIODIKÁ - Súborný záznam periodika (1) - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika ARTICLES 1999: Topological sequence entropy for maps of the interval journal
Title All maps of type 2∞ are boundary maps Author info Víctor Jiménez López, Ľubomír Snoha Author Jiménez López Victor
Co-authors Snoha Ľubomír 1955- UMBFP10 - Katedra matematiky
Source document Proceedings of the American Mathematical Society. Vol. 125, no. 6 (1997), pp. 1667-1673. - Providence : American Mathematical Society, 1997 Keywords matematická analýza - mathematical analysis dynamické systémy - dynamical systems zobrazenia typu 2oo periodické body solenoid Language English Country Slovak Republic systematics 517 Public work category ADE Repercussion category HU, J. - TRESSER, C. Period doubling, entropy, and renormalization. In Fundamenta mathematicae. ISSN 0016-2736, 1998, vol. 155, no. 3, pp. 237-249.
CANOVAS, J. S. - LINERO, A. - PERALTA-SALAS, D. Dynamic Parrondo's paradox. In Physica D-nonlinear phenomena. ISSN 0167-2789, 2006, vol. 218, no. 2, pp. 177-184.
BORONSKI, Jan P. - KUPKA, Jiri. New chaotic planar attractors from smooth zero entropy interval maps. In Advanced in difference equations. ISSN 1687-1847, 2015, art. no. 232.
FAN, Xiaoxin - LI, Jian - YANG, Yini - YANG, Zhongqiang. Subspaces of interval maps related to the topological entropy. In Topological methods in nonlinear analysis. ISSN 1230-3429, 2019, vol. 54, no. 2, pp. 701-714.
CLARK, Trevor - TREJO, Sofia. The boundary of chaos for interval mappings. In Proceedings of the London mathematical society. ISSN 0024-6115, 2020, vol. 121, no. 6, pp. 1427-1467.
Catal.org. UKUMB###BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
book
Title Proceedings of the American Mathematical Society Issue data Providence : American Mathematical Society , 1997 ISSN 0002-99391088-6826 Form. Descr. časopisy - journals, elektronické časopisy - electronic journals Year, No. Vol. 125 no. 6 (1997) Language English Country United States of America URL Link na zdrojový dokument Public work category GII Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References - PERIODIKÁ - Súborný záznam periodika (1) - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika ARTICLES 1997: All maps of type 2∞ are boundary maps journal