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Title On dynamics in a four-dimensional model of small open economy Author info Mária Grausová, Miroslav Hužvár, Rudolf Zimka Author Grausová Mária 1976- (33%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Co-authors Hužvár Miroslav 1964- (33%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Zimka Rudolf 1943- (34%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Source document Proceedings of the 22nd International Scientific Conference on Applications of Mathematics and Statistics in Economics (AMSE 2019), Volume 2. Pp. 100-112. - Amsterdam : Atlantis Press, 2019 / Boďa Martin 1984- ; Mendelová Viera 1985- ; International Scientific Conference on Applications of Mathematics and Statistics in Economics (AMSE 2019) medzinárodná konferencia Keywords dynamical macroeconomical model equilibrium stabilita - stability bifurcation equations hospodárske cykly - business cycles Form. Descr. príspevky v zborníku - proceedings papers Language English Country Netherlands URL https://www.atlantis-press.com/proceedings/amse-19/125919268 Public work category AFD No. of Archival Copy 46650 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ 
unrecognised
Title On dynamics in a Keynesian model of monetary stabilization policy with debt effect Author info Toichiro Asada, Michal Demetrian, Rudolf Zimka Author Asada Toichiro (20%)
Co-authors Demetrian Michal (30%)
Zimka Rudolf 1943- (50%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Source document Communications in nonlinear science and numerical simulation. Vol. 58, special issue (2018), pp. 131-146. - Amsterdam : Elsevier B.V., 2018 ; Dynamic Models in Economics and Finance medzinárodný workshop Keywords dynamical macroeconomical model equilibrium bifurcation equations limit cycles monetary stabilization policy Language English Country Netherlands systematics 33 Annotation In this paper, a four-dimensional model of flexible prices with the central bank's stabilization policy, describing the development of the firms' private debt, the output, the expected rate of inflation and the rate of interest is analyzed. Questions concerning the existence of limit cycles around its normal equilibrium point are investigated. The bifurcation equation is found. The formulae for the calculation of its coefficients are gained. A numerical example is presented by means of numerical simulations. URL Link na plný text Public work category ADC No. of Archival Copy 42224 Repercussion category RIGATOS, G. - SIANO, P. - LOIA, V. - GHOSH, T. - KRAWIEC, A. Nonlinear optimal control for a business cycles macroeconomic model of linked economies. In Cyber-physical systems. ISSN 2333-5785, 2018, vol. 4, no. 2, pp. 116-136.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title On the bifurcation of limit cycles in a dynamic model of a small open economy Author info Katarína Makovínyiová, Rudolf Zimka Author Makovínyiová Katarína (50%)
Co-authors Zimka Rudolf 1943- (50%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Source document European Journal of Applied Mathematics. Vol. 24, no. 3 (2013), pp. 455-470. - Cambridge : Cambridge University Press, 2013 Keywords dynamical macroeconomical model equilibrium stabilita - stability normal form of differential equations on centre manifold bifurcation equations limit cycles Language English Country United States of America systematics 51 33 Public work category ADC No. of Archival Copy 26060 Repercussion category LLIBRE, Jaume - OLIVEIRA, Regilene - ZHAO, Yulin. On the birth and death of algebraic limit cycles in quadratic differential systems. In European journal of applied mathematics. ISSN 0956-7925, 2020, vol. 32, no. 2, pp. 1-23.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title On the existence of tori in Asada's two-regional model Author info Peter Maličký, Rudolf Zimka Author Maličký Peter 1956- (50%) UMBFP10 - Katedra matematiky
Co-authors Zimka Rudolf 1943- (50%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Source document Nonlinear Analysis : Real World Applications. Vol. 13, no. 2 (2012), pp. 710-724. - Oxford : Elsevier Ltd., 2012 Keywords dynamical model equilibrium matrix of linear approximation eigenvalues normal form of differential equations on invariant surface bifurcation equations torus Language English Country Great Britian systematics 51 URL Link do databázy WoS Public work category ADC No. of Archival Copy 22387 Repercussion category INABA, Toshio - ASADA, Toichiro. On dynamics of a three-country kaldorian model of business cycles with fixed exchange rates. In Games and dynamics in economics : essays in honor of Akio Matsumoto. Singapore : Springer Singapore, 2020. ISBN 978-981153623-6, pp. 103-124.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title A dynamic model of a small open economy under flexible exchange rates Author info Petra Medveďová Author Medveďová Petra 1971- (100%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Source document Acta Polytechnica Hungarica : Journal of Applied Sciences. Roč. 8, č. 3 (2011), s. 13-36. - Budapest : Óbuda University, Hungarian Academy of Engineering and IEEE Hungary Section, 2011 / Rudas Imre J. Keywords dynamical model matrix of linear approximation eigenvalues bifurcation equations hospodárske cykly - business cycles Language English Country Hungary systematics 51 Public work category ADE No. of Archival Copy 21591 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References (4) - PUBLIKAČNÁ ČINNOSŤ unrecognised
Title The Existence and Stability of Business Cycles in a Macroeconomic Model under Fixed Exchange Rate Regime Author info Leontína Striežovská Author Striežovská Leontína 1974- UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Source document AMSE 2010 : 13th International Conference Applications of Mathematics and Statistics in Economy, August 26 - 29, 2010, Demänovská dolina : book of abstracts. S. 33. - Banská Bystrica : Univerzita Mateja Bela, Ekonomická fakulta, 2010 / Kráľ Pavol 1978- ; Laco Peter 1975- ; Zimka Rudolf 1943- ; AMSE 2010 International Conference Applications of Mathematics and Statistics in Economy Keywords macroeconomic models eigenvalues bifurcation equations hospodárske cykly - business cycles Language English Country Slovak Republic systematics 519.2 Public work category AFH No. of Archival Copy 16582 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ 
article
Title The Existence of Business Cycles in a Macroeconomic Model under Fixed Exchange Rate Regime Author info Leontína Striežovská Author Striežovská Leontína 1974- (100%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Source document Applications of mathematics and statistics in economy : proceedings of the 13th international scientific conference, Demänovská Dolina, August 26 - 29, 2010. S. 351-359. - Banská Bystrica : Občianske združenie Financ, 2010 / Zimka Rudolf 1943- ; Kráľ Pavol 1978- ; Svoreňová Katarína 1986- ; Laco Peter 1975- ; Blatná Dagmar ; Boďa Martin 1984- ; Dekrét Anton 1932- ; Fischer Jakub ; Grendár Marian 1969- ; Hužvár Miroslav 1964- ; Kanderová Mária 1965- ; Kaščáková Alena 1964- ; Konôpka Pavol 1953- ; Kráľ Pavol 1978- ; Laco Peter 1975- ; Lašová Lenka ; Maličký Peter 1956- ; Nedelová Gabriela 1961- ; Špirková Jana 1962- ; Trešl Jiří ; Úradníček Vladimír 1963-2021 ; Zelenková Anna 1952- ; Zimka Rudolf 1943- ; Zimková Emília 1964- Note Bibl.: s. 359 Keywords macroeconomic models eigenvalues bifurcation equations hospodárske cykly - business cycles equilibrium stabilita - stability Language English Country Slovak Republic systematics 519.2 Annotation Res. angl. Public work category AFD No. of Archival Copy 18333 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title Application of dynamic model of a small open economy under fixe and flexible exchange rates Author info Petra Medveďová Author Medveďová Petra 1971- (100%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Source document AMSE 2010 : 13th International Conference Applications of Mathematics and Statistics in Economy, August 26 - 29, 2010, Demänovská dolina : book of abstracts. S. 27. - Banská Bystrica : Univerzita Mateja Bela, Ekonomická fakulta, 2010 / Kráľ Pavol 1978- ; Laco Peter 1975- ; Zimka Rudolf 1943- ; AMSE 2010 International Conference Applications of Mathematics and Statistics in Economy Keywords dynamical model equilibrium models bifurcation equations hospodárske cykly - business cycles Language Slovak Country Slovak Republic systematics 517.9 Public work category AFH No. of Archival Copy 18484 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ article
Title On the existence of business cycles in Asada's two-regional model Author info Peter Maličký, Rudolf Zimka Author Maličký Peter 1956- (50%) UMBFP10 - Katedra matematiky
Co-authors Zimka Rudolf 1943- (50%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Source document Nonlinear Analysis : Real World Applications. Vol. 11, no. 4 (2010), pp. 2787-2795. - Oxford : Elsevier Ltd., 2010 Keywords dynamical model equilibrium matrix of linear approximation eigenvalues normal form of differential equations on invariant surface bifurcation equations hospodárske cykly - business cycles Asada's two-regional model Language English Country Great Britian systematics 517.9 Public work category ADC No. of Archival Copy 16640 Repercussion category MEDVEĎOVÁ, Petra. A dynamic model of a small open economy under flexible exchange rates. In Acta Polytechnica Hungarica : journal of applied sciences. ISSN 1785-8860, 2011, vol. 8, no. 3, pp. 13-36.
ASADA, Toichiro - MARKELLOS, Panagiotis. Hypercrater bifurcations, attractor coexistence, and unfolding in a 5D model of economic dynamics. In Discrete dynamics in nature and society. ISSN 1026-0226, 2011, art. no. 841324.
INABA, Toshio - ASADA, Toichiro. On dynamics of a three-country kaldorian model of business cycles with fixed exchange rates. In Games and dynamics in economics : essays in honor of Akio Matsumoto. Singapore : Springer Singapore, 2020. ISBN 978-981153623-6, pp. 103-124.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title Can business cycles arise in a two-regional model with fixed exchange rates? Par.title Môžu sa objaviť cykly v dvojregionálnom modeli s pevným výmenným kurzom? Author info Peter Maličký, Rudolf Zimka Author Maličký Peter 1956- (50%) UMBFP10 - Katedra matematiky
Co-authors Zimka Rudolf 1943- (50%) UMBEF05 - Katedra kvantitatívnych metód a informačných systémov
Source document Tatra Mountains Mathematical Publications. Vol. 43, no. 2 (2009), pp. 123-135. - Bratislava : Veda, 2009 Keywords dynamický model normálna forma lineárnych rovníc na invariantnej ploche rovnováha matica lineárnej transformácie vlastné hodnoty - eigenvalues dynamical model equilibrium matrix of linear approximation eigenvalues normal form of differential equations on invariant surface bifurcation equations hospodárske cykly - business cycles Language English Country Slovak Republic systematics 51 Annotation T. Asada zaviedol päťrozmerný model vývoja príjmu, fyzického kapitálu a toku peňazí v dvoch krajinách. My tento model študujeme a dokazujeme existenciu cyklu. The two-regional five dimensional model describing the development of income, capital stock and money stock, which was introduced by T. Asada is analysed. Theorem on the existence of business cycles is presented Public work category ADF No. of Archival Copy 13236 Repercussion category MEDVEĎOVÁ, Petra. A dynamic model of a small open economy under flexible exchange rates. In Acta Polytechnica Hungarica : journal of applied sciences. ISSN 1785-8860, 2011, roč. 8, č. 3, s. 13-36.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ unrecognised