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Title Interior periodic points of a Lotka–Volterra map Par.title Vnútorné periodické body Lotkovho Volterrovho zobrazenia Author info Peter Maličký Author Maličký Peter 1956- (100%) UMBFP10 - Katedra matematiky
Source document Journal of Difference Equations and Applications. Vol. 18, no. 4 (2012), pp. 553-567. - Abingdon : Taylor & Francis Group, 2012 Keywords periodické body Jacobiho matica - Jacobian matrix sedlový pevný bod itinerár Brouwerova veta periodic point saddle fixed point itinerary Brouwer theorem Language English Country Great Britian systematics 514 Annotation Pre rovinný trojuholník s vrcholmi [0,0], [4,0] a [0,4] skúmame transformáciu F, ktorá zobrazuje bod[x,y] do bodu [xy,x(4-x-y)]. Dokazujeme existenciu vnútorných periodických bodov s periódou n väčšou než 3. Jedna periodická orbita s periódou 6 je vyjadrená explicitne. Dokazujeme tiež, že pre každý dolný sedlový periodický bod existuje vnútorný periodický bod s tým istým itinerárom (vzhľadom na rozklad daný zvislou strednou priečkou). For the plain triangle with vertices [0,0], [4,0] and [0,4] we consider transform F, which maps the point [x,y] to point [xy,x(4-x-y)]. We prove the existence of interior periodic points of periods n greater than 3. One of the periodic orbits of period 6 is given explicitly. We also prove that for any lower periodic saddle point, there is an interior periodic point with the same itinerary (with respect to the natural decomposition of D given by the vertical middle line) Public work category ADC No. of Archival Copy 23322 Repercussion category MUKHAMEDOV, Farrukh - ABDUGANIEV, A. On pure quasi-quantum quadratic operators of M-2(C). In Open systems & information dynamics. ISSN 1230-1612, 2013, vol. 20, no. 4, article no. 1350018.
BEL'MESOVA, S. S. - EFREMOVA, L. S. On the concept of integrability for discrete dynamical systems. Investigation of wandering points of some trace map. 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. 127-158.
BALIBREA, Francisco. Some problems connected with the thue-morse and Fibonacci sequences. In Advances in dynamical systems and control. ISSN 2198-4182, 2016, vol. 69, pp. 273-293.
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 On number of interior periodic points of a Lotka-Voltera map Author info Peter Maličký Author Maličký Peter 1956- (100%) UMBFP10 - Katedra matematiky
Source document Acta Universitatis Matthiae Belii : series Mathematics : special issue dedicated to the 75th birthday of Professor Beloslav Riečan, No. 19 (2011). S. 21-30. - Banská Bystrica : Ústav vedy a výskumu Univerzity Mateja Bela v Banskej Bystrici, 2011 / Haviar Miroslav 1965- Note Bibl.: s. 30 Keywords periodic point Jacobiho matica - Jacobian matrix saddle fixed point itinerary Brouwer theorem Language English Country Slovak Republic systematics 51 Annotation Res. angl. Public work category AED No. of Archival Copy 20700 Repercussion category BALIBREA, Francisco. Some problems connected with the thue-morse and Fibonacci sequences. In Advances in dynamical systems and control. ISSN 2198-4182, 2016, vol. 69, pp. 273-293.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ 
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