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Title Topology and topological sequence entropy Author info Ľubomír Snoha, Xiangdong Ye, Ruifeng Zhang Author Snoha Ľubomír 1955- (34%) UMBFP10 - Katedra matematiky
Co-authors Ye Xiangdong (33%)
Zhang Ruifeng (33%)
Source document Science China Mathematics. Vol. 63, no. 2 (2020), pp. 205-296. - Peking : Science China Press, 2020 Keywords topologická entropia sekvenciálna rigidné kontinuum - rigid continuum Cookovo kontinuum - Cook continuum Form. Descr. štúdie - studies Language English Country China Annotation Pre kompaktný metrický priestor X a spojité zobrazenie T na ňom uvažujme o supréme všetkých topologických sekvenciálnych entropií zobrazenia T. Nech S(X) je množina takýchto hodnôt pre všetky spojité zobrazenia T na danom priestore X. V práci sú opísané všetky možnosti, ako môže množina S(X) vyzerať. Príslušné priestory X realizujúce jednotlivé možnosti sú nájdené v triede jednorozmerných kontinuí. Pri ich konštruovaní sa využívajú Cookove kontinuá. Ide o prvý prípad netriviálneho využitia týchto veľmi rigidných kontinuí v dynamike. V práci je ďalej ukázané, že rovnaká charakterizácia množín S(X) platí aj keď uvažujeme o homeomorfizmoch namiesto všetkých spojitých zobrazení. Analogický problém sa skúma aj pre akcie grúp. URL Link na plný text Public work category ADC No. of Archival Copy 48175 Repercussion category FENG, Wang - KAI, Lu - ZE, Gong. Investigation of DDR T-topology port resistance. In ITAIC 2020 : 9th IEEE joint international information technology and artificial intelligence conference, Chongqing, 11th-13th December 2020. ISSN 2693-2865, 2020, vol. 9, DOI 10.1109/ITAIC49862.2020.9338836, pp. 98-108.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
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Title Topological sequence entropy in onedimensional dynamics Author info Roman Hric Title Subtitle Translation : Topologická sekvenciálna entropia v jednorozmernej dynamike Author Hric Roman 1970- UMBFP10 - Katedra matematiky
Source document 3rd European Congress of Mathematics. - Barcelona, 2000 Note Sekcia posterov - poster č. 540 Keywords topologická entropia sekvenciálna intervaly kružnice - circle systematics 515.1 Public work category AFG Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised
Title Topological sequence entropy for maps of the circle Author info Roman Hric Title Subtitle Translation : Topologická sekvenciálna entropia zobrazení kružnice Author Hric Roman 1970- UMBFP10 - Katedra matematiky
Source document Commentationes Mathematicae Universitatis Carolinae. Vol. 41, no. 1 (2000), pp. 53-59. - Prague : Faculty of Mathematics and Physics of Charles University, 2000 Keywords topologická entropia sekvenciálna chaotické zobrazenia systematics 515.1 Public work category ADE Repercussion category CÁNOVAS, JS. An interval counterexample on topological sequence entropy. In Acta Mathematica Hungarica. ISSN 0236-5294, 2000, vol. 88, no. 1-2, pp. 123-131.
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.
NAGHMOUCHI, Issam. Dynamics of monotone graph, dendride and dendroid maps. In International journal of bifurcation and chaos. ISSN 0218-1274, 2011, vol. 21, no. 11, pp. 3205-3215.
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.
MAI, Jie-Hua - SHAO, Song. The structure of graph maps without periodic points. In Topology and its applications. ISSN 0166-8641, 2007, vol. 154, no. 14, pp. 2714-2728.
YANG, Xiao-Song - BAI, Xiaoming. Estimates of topological entropy of continuous maps with applications. In Discrete dynamics in nature and society. ISSN 1026-0226, 2006, pp. [1-10].
CÁNOVAS, José Salvador. A guide to topological sequence entropy. In Progress in Mathematical Biology Research. New York : Nova Science Publishers, 2008. ISBN 978-160456171-5, pp. 101-139.
CÁNOVAS, José Salvador. Topological sequence entropy and topological dynamics of interval maps. In Dynamics of continuous, discrete and impulsive systems Series A: Mathematical Analysis. ISSN 1201-3390, 2007, vol. 14, no. 1, pp. 47-54.
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