profesor zwyczajny
Faculty of Applied Mathematics WMS-krr
ORCID: 0000-0001-5124-5890
ResearcherID: brak
Scopus: 57210368048
System Informacyjny AGH (SkOs)
A Borsuk-Ulam type generalization of the Leray-Schauder fixed point theorem — Odne uzagal'nennâ tipu Borsuka-Ulama teoremi Lere-Šaudera pro neruhomu točku / Anatolij PRYKARPATSKY // Mathematical Bulletin / Josai University. Graduate School of Science ; ISSN 1344-7769. — 2007 vol. 4, s. 1–15. — Bibliogr. s. 14–15
brak zdefiniowanych słów kluczowych
cyfrowy identyfikator dokumentu:
A geometrical approach to quantum holonomic computing algorithms / K. PRYKARPATSKY, D. Blackmore, N. K. Prykarpatska // W: ECMI 2004 : the 13\textsuperscript{th} European Conference on Mathematics in Industry : June 21–25, 2004, Eindhoven, The Netherlands. — [The Netherlands : Technische Universiteit Eindhoven], [2004]. — S. 239–240
A kinetic model of the plasma flow at the magnetic z-pinch and the plasmoid structure, Pt. 2 / P. Kubes, A. K. PRYKARPATSKY, J. Zagrodziński, Y. A. Prykarpatsky // Žurnal Fìzičnih Doslìdžen' = Journal of Physical Studies ; ISSN 1027-4642. — 1999 vol. 3 no. 1, s. 42–46. — Bibliogr. s. 45–46, Rez.
A survey of the spectral and differential geometric aspects of the generalized De Rham-Hodge theory related with Delsarte transmutation operators in multidimension and applications to spectral and soliton problems, Pt. 1 / Yarema A. PRYKARPATSKY, Anatoliy M. Samoilenko, Anatoliy K. PRYKARPATSKY // Applied Mathematics E-Notes [Dokument elektroniczny]. — Czasopismo elektroniczne ; ISSN 1607-2510. — 2005 vol. 5, s. 210–246. — Bibliogr. s. 244–246, Abstr.. — tekst: https://www.emis.de/journals/AMEN/2005/040619-2.pdf
Zobacz pełny wykaz publikacji Autora/Autorów: Jarema A. Prykarpatsky
A vertex operator representation of solutions to the Gurevich-Zybin hydrodynamical equation / Yarema A. Prykarpatsky, Denis Blackmore, Jolanta GOLENIA, Anatolij K. PRYKARPATSKY // Opuscula Mathematica ; ISSN 1232-9274. — Tytuł poprz.: Scientific Bulletins of Stanisław Staszic Academy of Mining and Metallurgy. Opuscula Mathematica. — 2013 vol. 33 no. 1, s. 139–149. — Bibliogr. s. 147–148, Abstr.. — tekst: http://journals.bg.agh.edu.pl/OPUSCULA/2013.33.1/OpMath.2013.33.1.139.pdf
keywords: Lax type integrability, vertex operator representation, Lax integrability, lie algebraic approach
Zobacz pełny wykaz publikacji Autora/Autorów: Jolanta Golenia
cyfrowy identyfikator dokumentu: 10.7494/OpMath.2013.33.1.139
About a finite dimensional reduction method for conservative dynamical systems and its applications / Anatoliy PRYKARPATSKY, Stanisław BRZYCHCZY, V. Samoylenko // W: Scientific computing, validated numerics, interval methods / eds. Walter Krämer, Jürgen Wolff von Gudenberg. — New York [etc.] : Kluwer Academic/Plenum Publishers, 2001. — Zawiera materiały z sympozium : "SCAN 2000 - The 9th GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics, and Interval 2000 - The International Conference on Interval Methods in Science and Engineering".. — ISBN10: 0306467062. — S. 293–302. — Bibliogr. s. 302, Abstr.
Zobacz pełny wykaz publikacji Autora/Autorów: Stanisław Brzychczy
Analìz optimal'nih strategìj portfel'noï konkurencìjnoï modelì rinku akcìj — Optimal strategy analysis of a competitive bank portfolio model of the share market / B. Û. Kišakevič, A. K. PRYKARPATSKY, Ì. P. Tverdohlìb // Dopovìdì Nacì onal'noï akademìï nauk Ukraïni = Reports of the National Academy of Science of Ukraine ; ISSN 1025-6415. — 2009 no. 1, s. 40–47. — Bibliogr. s. 47
Bogolyubov generating functional method in statistical physics and ”collective”-variables transform within grand canonical ensemble / N. N. Bogolyubov, Jr., A. K. PRYKARPATSKY // Nonlinear Oscillations ; ISSN 1536-0059. — 2007 vol. 10 no. 1, s. 32–45. — Bibliogr. s. 45. — tekst: https://goo.gl/seRorZ
cyfrowy identyfikator dokumentu: 10.1007/s11072-007-0004-2
Central extension approach to integrable field and lattice-field systems in $(2+1)$-dimensions / Maciej Błaszak, Andrzej Szum, Anatolij PRYKARPATSKY // Reports on Mathematical Physics ; ISSN 0034-4877. — 1999 vol. 44 no. 1/2, s. 37–44. — Bibliogr. s. 44. — Publikacja dostępna online od: 2000-10-16. — A. Prykarpatsky - pierwsza afiliacja: Department of Nonlinear Analysis, IAPMM of the NAS, Lviv, Ukraina. — Proceedings of the XXX symposium on Mathematical Physics : May 26–30, 1998 Toruń, Poland / ed. Andrzej Jamiołkowski, Miłosz Michalski, Ryszard Mrugała. — Warszawa : Polish Scientific Publishers PWN, 1999. — tekst: https://www-1sciencedirect-1com-10000274b003b.wbg2.bg.agh.edu.pl/science/article/pii/S0034487799801438/pdf?md5=cd0642f724aff37efbb91661b597398a&pid=1-s2.0-S0034487799801438-main.pdf
cyfrowy identyfikator dokumentu: 10.1016/S0034-4877(99)80143-8
Classical electromagnetic theory revisiting: the A. M. Ampere law and the vacuum field theory approach / Anatolij K. PRYKARPATSKY // Universal Journal of Physics and Application ; ISSN 2331-6535. — 2014 vol. 8 no. 8, s. 381–413. — Bibliogr. s. 408–413, Abstr.. — tekst: https://www.hrpub.org/download/20141101/UJPA4-18402821.pdf
keywords: Lagrangian and Hamiltonian formalisms, Lorentz type force, Lorenz constraint, Maxwell electromagnetic equations, Jefimenko equations, radiation theory, vacuum field theory approach, Amper law, Feynman's approach legacy
cyfrowy identyfikator dokumentu: 10.13189/ujpa.2014.020804
Diferencìal'no-geometričnì ta lì-algebraïčnì osnovi doslìdžennâ ìntegrovnih nelìnìjnih dinamìčnih sistem na funkcìonal'nih mnogovidah — Differential-geometric and lie-algebraic foundations of studying integrable nonlinear dynamical systems on functional manifolds / Oksana Gentoš, Mikola Pritula, Anatolij PRYKARPATSKY ; za zagal'noû red. A. M. Samojlenka ta A. K. PRYKARPATSKOGO ; Nacìonal'na akademìâ nauk Ukraïni. Ìnstitut prikladnih problem mehanìki ta matematiki ìm. Â. S. Pìdstrigača, Mìnìsterstvo osvìti ì nauki Ukraïni. L'vìvs'kij nacìonal'nij unìversitet ìmenì Ìvana Franka, Akademìâ gìrnictva ta metalurgìï ìm. Stanìslava Stašìca, Krakìv Pol'ŝa. Fakul'tet prikladnoï matematiki. — L'vìv : Vidavničij centr LNU ìmenì Ìvana Franka, 2005. — 403, [1] s.. — Bibliogr. s. 383–403
Diferencìal'no-geometričnì ta lì-algebraïčnì osnovi doslìdžennâ ìntegrovnih nelìnìjnih dinamìčnih sistem na funkcìonal'nih mnogovidah — Differential-geometric and lie-algebraic foundations of studying integrable nonlinear dynamical systems on functional manifolds / Oksana Gentoš, Mikola Pritula, Anatolij PRYKARPATSKY ; za zagal'noû red. A. M. Samojlenka, A. K. PRIKARPATS'KOGO. — L'vìv : Vidavničij centr LNU ìmenì Ìvana Franka, 2006. — 406, [4] s.. — Bibliogr. s. 386–406
Ergodic theory, Boole type transformations, dynamical systems theory / Anatolij K. PRYKARPATSKI // W: Current trends in analysis and its applications : proceedings of the 9th ISAAC congress : [5–9 August], Kraków 2013 / eds. Vladimir V. Mityushev, Michael V. Ruzhansky. — Switzerland ; Basel : Springer International Publishing ; Birkhäuser, 2015. — (Trends in Mathematics ; ISSN 2297-0215. Research Perspectives). — ISBN: 978-3-319-12576-3 ; e-ISBN: 978-3-319-12577-0. — S. 325–333. — Bibliogr. s. 332–333, Abstr.
keywords: invariant measures, generalized Boole type transformations, arithmetic properties, ergodic dynamical systems, Frobenius-Perron operator
cyfrowy identyfikator dokumentu: 10.1007/978-3-319-12577-0_38
Ergodičnì dinamìčnì sistemi: porâdok ta haos — [Ergodic dynamical systems: order and chaos] / Mikola Bogolûbov (mol.), Anatolij PRYKARPATSKY, Mikola Pritula // Matematičnij Vísnik NTŠ ; ISSN 1812-6774. — 2005 vol. 2, s. 9–16. — Summ.
Finite-dimensional reductions of conservative dynamical systems and numerical analysis, 1 — Skinčennovimirni redukciï konservativnich dinamičnich sistem i čisel'nij analiz. Pt. 1 / A. K. PRYKARPATSKY, S. BRZYCHCZY, V. Hr. Samoylenko // Ukraïns'kij Matematičnij Žurnal ; ISSN 1027-3190. — 2001 t. 53 no. 2, s. 249–258. — Bibliogr. s. 258. — tekst: https://link-1springer-1com-1nyztlj3q019d.wbg2.bg.agh.edu.pl/content/pdf/10.1023%2FA%3A1010464903737.pdf
Funkcìonal'no-operatornij analìz problemi zyžnostì dlâ metodu diskretnih aproksimacìj F. Kalodžero v banahovih prostorah — Functional-operator analysis of the convergence problem for the F. Calogero approximation method in Banach spaces / Mirosław LUŚTYK, Anatolij PRYKARPATSKY, Mikola Pritula, Miroslava Vovk // Matematičnij Vísnik NTŠ ; ISSN 1812-6774. — 2012 t. 9, s. 168–179. — Bibliogr. s. 178–179
Zobacz pełny wykaz publikacji Autora/Autorów: Mirosław Luśtyk
Generalized de Rham-Hodge complexes, the related characteristic Chern classes, and some applications to integrable multidimensional differential systems on Riemannian manifolds / N. N. Bogolyubov, Jr., A. K. PRYKARPATSKY // Ukrainian Mathematical Journal ; ISSN 0041-5995. — 2007 vol. 59 no. 3, s. 361–378. — Bibliogr. s. 377–378. — A. Prykarpatsk - dod. afiliacja: Ukrainian National Academy of Sciences. — tekst: https://goo.gl/z2T4hp
cyfrowy identyfikator dokumentu: 10.1007/s11253-007-0023-2
Generalized multidimensional Boole type transformations, their discretization and ergodicity / Anatolij K. PRYKARPATSKI // W: CHAOS2017 [Dokument elektroniczny] : 10\textsuperscript{th} Chaotic modeling and simulation international conference : 30 May–2 June 2017, Barcelona, Spain : proceedings / ed. Christos H. Skiadas. — Wersja do Windows. — Dane tekstowe. — [Spain] : ISAST: International Society for the Advancement of Science and Technology, cop. 2017. — S. 683–689. — Wymagania systemowe: Adobe Reader. — Tryb dostępu: http://1drv.ms/b/s!ApL_0Av0YGDLijgM-A-V_vovlTlb [2017-11-27]. — Bibliogr. s. 689, Abstr.. — A. K. Prykarpatski - afiliacja: Polytechnical University of Krakow
Hamiltonian operators and related integrable differential-algebraic Novikov-Leibniz type structures / Orest D. Artemovych, Denis Blackmore, Anatolij K. PRYKARPATSKI // Asian Journal of Mathematics and Computer Research ; ISSN 2395-4205. — 2017 vol. 17 iss. 4, s. 184–203. — Bibliogr. s. 200–203, Abstr.. — Publikacja dostępna online od: 2017-04-20
keywords: integrability, Riemann algebra, right Leibniz algebra, Novikov algebra, 2-cocycles, loop-algebra, differentiations, Hamiltonian operators, poisson brackets, Riemann type hydrodynamic hierarchy, differenetial algebras
Hidden symmetries of lax integrable nonlinear systems / Denis Blackmore, Yarema Prykarpatsky, Jolanta GOLENIA, Anatoli PRYKARPATSKY // Applied Mathematics ; ISSN 2152-7385. — 2013 vol. 4 no. 10C spec. iss. on Advances in mathematical physics, s. 95–116. — Bibliogr. s. 114–116, Abstr.. — tekst: http://www.scirp.org/journal/PaperDownload.aspx?paperID=38417
keywords: Lax integrability, lie algebraic approach, differential algebraic methods, gradient holonomic algorithm, Marsden-Weinstein reduction method, R-Matrix structure, symplectic structures, compatible poissonian structures, lax representation, poissonian manifold
cyfrowy identyfikator dokumentu: 10.4236/am.2013.410A3013
Integrability by quadratures of Hamiltonian systems and Picard-Fuchs type equations: the modern differential-geometric aspects / Y. A. PRYKARPATSKY, A. M. Samoilenko, D. L. Blackmore, A. K. PRYKARPATSKY // Miskolc Mathematical Notes ; ISSN 1787-2405. — 2005 vol. 6 no. 1, s. 65–103. — Bibliogr. s. 101–102, Abstr.
Integrable three-dimensional coupled nonlinear dynamical systems related to centrally extended operator Lie algebras and their Lax type three-linearization / J. GOLENIA, O. Ye. Hentosh, A. K. PRYKARPATSKY // Central European Journal of Mathematics ; ISSN 1895-1074. — 2007 vol. 5 iss. 1, s. 84–104. — Bibliogr. s. 102–104, Abstr.. — tekst: https://goo.gl/PSL96w
keywords: Bäcklund transformation, integrable Hamiltonian systems, R-matrix approach, three dimensional Lax-type flows
cyfrowy identyfikator dokumentu: 10.2478/s11533-006-0038-1
Integrable three-dimensional coupled nonlinear dynamical systems related with centrally extended operator lie algebras / Okasana Ye. Hentosh, Anatolij K. PRYKARPATSKY // Opuscula Mathematica ; ISSN 1232-9274. — Tytuł poprz.: Scientific Bulletins of Stanisław Staszic Academy of Mining and Metallurgy. Opuscula Mathematica. — 2007 vol. 27 no. 2, s. 231–244. — Bibliogr. s. 242–244, Abstr.. — tekst: https://goo.gl/ccHkjE
keywords: Bäcklund transformation, Lax-type flows, centrally extended operator Lie algebra, ghost symmetries
Introductory background to modern quantum mathematics with application to nonlinear dynamical systems / A. K. PRYKARPATSKY, J. GOLENIA, N. N. Bogolubov Jr., U. Taneri // W: Further progress in analysis : proceedings of the 6th international ISAAC congress : Ankara, Turkey, 13–18 August 2007 / eds. H. G. W. Begehr, A. O. Çelebi, R. P. Gilbert. — [S. l.] : World Scientific Publishing Co. Pte. Ltd., cop. 2009. — ISBN: 978-981-283-732-5 ; ISBN10: 981-283-732-9. — S. 760–779. — Bibliogr. s. 777–779
Isospectral integrability analysis of dynamical systems on discrete manifolds / Denis Blackmore, Anatolij K. PRYKARPATSKY, Yarema A. Prykarpatsky // Opuscula Mathematica ; ISSN 1232-9274. — Tytuł poprz.: Scientific Bulletins of Stanisław Staszic Academy of Mining and Metallurgy. Opuscula Mathematica. — 2012 vol. 32 no. 1, s. 41–66. — Bibliogr. s. 64–66, Abstr.. — Dod. afiliacja autora: The Ivan Franko State Pedagogical University, Drohobych, Lviv. — tekst: http://journals.bg.agh.edu.pl/OPUSCULA/32-1/OM_32-1-04.pdf
keywords: asymptotic analysis, gradient holonomic algorithm, conservation laws, Poissonian structures, Lax representation, finite dimensional reduction, Liouville integrability, non linear discrete dynamical systems