adiunkt
Wydział Matematyki Stosowanej WMS-krr, Katedra Równań Różniczkowych
ORCID: 0000-0002-3033-7419 połącz konto z ORCID
ResearcherID: U-8877-2017
Scopus: 6603328340
A geometrical approach to quantum holonomic computing algorithms / A. M. Samoilenko, Y. A. PRYKARPATSKY, Ufuk Taneri, A. K. PRYKARPATSKY, D. L. Blackmore // Mathematics and Computers in Simulation ; ISSN 0378-4754. — 2004 vol. 66 iss. 1, s. 1–20. — Bibliogr. s. 19–20, Abstr.. — Publikacja dostępna online od: 2004-04-27. — Y. A. Prykarpatsky - dod. afiliacje: National Academy of Sciences, Kyiv, Ukraine; Brookhaven National Laboratory, Upton, USA; National Academy of Sciences, Lviv, Ukraine. — A. K. Prykarpatsky - dod. afiliacje: National Academy of Sciences, Kyiv, Ukraine; National Academy of Sciences, Lviv, Ukraine. — tekst: https://www-1sciencedirect-1com-1000027fh02ef.wbg2.bg.agh.edu.pl/science/article/pii/S0378475404000357/pdfft?md5=f3cfe51e769ab4857ce0f28f286a1317&pid=1-s2.0-S0378475404000357-main.pdf
keywords: quantum algorithms, symplectic structures, dynamical systems, connections, Lax type integrable flows, holonomy groups, Grassmann manifolds, quantum computers
Zobacz pełny wykaz publikacji Autora/Autorów: Anatolij Prykarpatsky
cyfrowy identyfikator dokumentu: 10.1016/j.matcom.2004.01.017
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
brak zdefiniowanych słów kluczowych
cyfrowy identyfikator dokumentu:
About a scalar Lax type representation for one class of hydrodynamic systems in one dimension / PRYKARPATSKY Ya. A., Prytula M. M., Revenko V., A. // W: The eleventh international colloquium on differential equations : Plovdiv, Bulgaria, August 18–23, 2000 : abstracts of invited lectures and short communications. — [Bulgaria : s. n.], [2000]. — S. [1–2]. — Bibliogr. s. [2]
Comparison of heterogeneous and homogenized numerical models of cavitation / Roman Samulyak, Jarema PRYKARPATSKY, Tianshi Lu, James Glimm, Zhiliang Xu, Myoung-Nyoun Kim // International Journal for Multiscale Computational Engineering ; ISSN 1543-1649. — 2006 vol. 4 iss. 3, s. 377–390. — Bibliogr., Abstr.
cyfrowy identyfikator dokumentu: 10.1615/IntJMultCompEng.v4.i3.70
Direct and homogeneous numerical approaches to multiphase flows and applications / Roman Samulyak, Tianshi Lu, Jarema PRYKARPATSKY // W: Computational Science – ICCS 2004 : 4th International Conference : Kraków, Poland, June 6–9, 2004 : proceedings, Pt. 4 / eds. Marian Bubak, Geert Dick van Albada [et al.]. — Berlin [etc.] : Springer-Verlag, 2004. — (Lecture Notes in Computer Science ; ISSN 0302-9743 ; LNCS 3039). — ISBN: 978-3-540-22129-6 ; e-ISBN: 978-3-540-25944-2. — S. 653–660. — Bibliogr. s. 660, Abstr.. — Toż na CD-ROMie. — tekst: https://link-1springer-1com-10000489c00a5.wbg2.bg.agh.edu.pl/content/pdf/10.1007%2F978-3-540-25944-2_84.pdf
Finite dimensional local and nonlocal reductions of one type of hydrodynamic systems / Y. PRYKARPATSKY // Reports on Mathematical Physics ; ISSN 0034-4877. — 2002 vol. 50 no. 3, s. 349–360. — Bibliogr. s. 360. — Conference on Multi-hamiltonian structures - geometric and algebraic aspects : Bedlewo, Poland, August 09-17, 2001. — tekst: https://www-1sciencedirect-1com-10000272m0104.wbg2.bg.agh.edu.pl/science/article/pii/S0034487702800659/pdf?md5=8de20900c4930ad4fa9666a2bc2239e7&pid=1-s2.0-S0034487702800659-main.pdf
cyfrowy identyfikator dokumentu: 10.1016/S0034-4877(02)80065-9
Generalized de Rham-Hodge theory of multidimensional Delsarte transmutations of differential operators and its applications for nonlinear dynamic systems / N. N. Bogolyubov, Jr., J. A. PRYKARPATSKY, A. M. Samoilenko, A. K. PRYKARPATSKY // Physics of Particles and Nuclei ; ISSN 1063-7796. — 2005 vol. 36 suppl. 1, s. S111–S122. — Bibliogr. s. S121–S122, Abstr.. — Bogolyubov Conference on Modern Problems of Mathematical and Theoretical Physics : Kiev : SEP 13-17, 2004
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.
Mel'nikov-Samoilenko adiabatic stability problem / J. A. PRYKARPATSKY // Ukrainian Mathematical Journal ; ISSN 0041-5995. — 2006 vol. 58 no. 6, s. 887–903. — Bibliogr. s. 902–903. — J. A. Prykarpatski - pierwsza afiliacja: Ukrainian Academy of Sciences, Kyiv, Ukraine. — tekst: https://goo.gl/i7oimT
cyfrowy identyfikator dokumentu: 10.1007/s11253-006-0111-8
New approach to studying the vortex structure of Josephson media equations within the framework of the Chern-Simons-Higgs Lagrangian model / Y. PRYKARPATSKY // Physica. C, Superconductivity and Its Applications ; ISSN 0921-4534. — 2002 vol. 369 iss. 1–4, s. 325–330. — Bibliogr. s. 330, Abstr.. — Y. Prykarpatsky - pierwsza afiliacja: Institute of Mathematics, NAS of Ukraine. — VORTEX ESF [European Science Foundation] : proceedings of the second European conference on Vortex matter in superconductors at extreme scales and conditions : Crete, Greece, September 15–25, 2001 / eds. V. V. Moshchalkov, E. H. Brandt. — North-Holland : Elsevier, 2002. — tekst: https://www-1sciencedirect-1com-1000027ut00b9.wbg2.bg.agh.edu.pl/science/article/pii/S0921453401012692/pdfft?md5=7a68eebd7d8b6ae08e3ed75ec1a0f4e4&pid=1-s2.0-S0921453401012692-main.pdf
keywords: Josephson junction, Lagrangian model, Higgs approach, vortex, Chern–Simons model
cyfrowy identyfikator dokumentu: 10.1016/S0921-4534(01)01269-2
On a Dirac type quantization algorithm for the Neumann-Bogoliubov oscillatory dynamical system / Ya. A. PRYKARPATS'KY, M. PYTEL-KUDELA, V. Hr. Samoylenko // Nelìnìjnì Kolivannâ = Nonlinear Oscillations ; ISSN 1562-3076. — 2001 vol. 4 no. 1, s. 106–111. — Bibliogr. s. 110–111
Zobacz pełny wykaz publikacji Autora/Autorów: Marzenna Pytel-Kudela
On the geometrical properties of reduced canonically symplectic spaces with symmetry, their relationship with structures on associated principal fiber bundles and some applications / Y. A. PRYKARPATSKY, A. M. Samoilenko, A. K. PRYKARPATSKY // Dynamics of Continuous, Discrete and Impulsive Systems. Series A, Mathematical ; ISSN 1201-3390. — 2006 vol. 13A S2, s. 145–158. — Differential equations and dynamical systems : proceedings of the international workshop : Guelph, Canada, July 29–31, 2006 / eds. X. Liu, S. X. Yang. — Waterloo : Watam Press, 2006
keywords: symplectic structures, Hamiltonian reduction, connections, principal fiber bundles, Yang-Mills type gauge fields
On the Liouville-Arnold integrable flows related with quantum algebras and their Poissonian representations / Anatoliy Samoilenko, Yarema PRYKARPATSKY, Denis Blackmore, Anatolij PRYKARPATSKY // W: The proceedings of Fifth international conference “Symmetry in nonlinear mathematical physics”, Pt. 3 / eds. A. G. Nikitin [et al.]. — Kyiv : IM, 2004. — (Proceedings of Institute of Mathematics of NAS of Ukraine ; vol. 50). — S. 1184–1191. — Bibliogr. s. 1191
Richtmyer-Meshkov instability in liquid metal flows: influence of cavitation and magnetic fields / Roman Samulyak, Yarema PRYKARPATSKY // Mathematics and Computers in Simulation ; ISSN 0378-4754. — 2004 vol. 65 iss. 4–5, s. 431–446. — Bibliogr. s. 446, Abstr.. — Workshop on Wave Phenomena in Physics and Engineering : Montreal, Canada, 1 May 2003. — tekst: https://www-1sciencedirect-1com-1000027op0055.wbg2.bg.agh.edu.pl/science/article/pii/S0378475404000278/pdfft?md5=be84137e793110c822fccca33e51d009&pid=1-s2.0-S0378475404000278-main.pdf
keywords: cavitation, MHD, Richtmyer-Meshkov instability
cyfrowy identyfikator dokumentu: 10.1016/j.matcom.2004.01.019
Symplectic method for the construction of ergodic measures on invariant submanifolds of nonautomous Hamiltonian systems : Lagrangian manifolds, their structure, and mather homologies / J. A. PRYKARPATSKY // Ukrainian Mathematical Journal ; ISSN 0041-5995. — 2006 vol. 58 no. 5, s. 763–778. — Bibliogr. s. 778. — tekst: https://goo.gl/W89M5r
The complete integrability and Picard-Fuchs equations of a four-dimensional truncated Focker-Plank Hamiltonian system, 1 / A. M. Samoilenko, Ya. A. PRYKARPATS'KY // Nelìnìjnì Kolivannâ = Nonlinear Oscillations ; ISSN 1562-3076. — 2001 vol. 4 no. 2, s. 264–271. — Bibliogr. s. 271
The de Rham-Hodge-Skrypnik theory of Delsarte transmutation operators in multidimension and its applications / Jarema A. PRYKARPATSKY, Anatoliy M. Samoilenko, Anatolij K. PRYKARPATSKY // Reports on Mathematical Physics ; ISSN 0034-4877. — 2005 vol. 55 no. 3, s. 351–370. — Bibliogr. s. 368–370. — Publikacja dostępna online od: 2005-11-16. — Y. A. Prykarpatsky - pierwsza afiliacja: Institute of Mathematics at the NAS, Kiev, Ukraine. — 36th Symposium on Mathematical Physics, Toruń, June 9-12, 2004. — tekst: https://www-1sciencedirect-1com-10000271y0585.wbg2.bg.agh.edu.pl/science/article/pii/S0034487705800515/pdf?md5=b9c93dd8e52a7dd91636ca640ad969ef&pid=1-s2.0-S0034487705800515-main.pdf
keywords: Dirac operator, soliton-like solutions, Laplace operator, operator pencils, Delsarte transmutation operators, Darboux transformations, de Rham-Hodge-Skrypnik differential complex
cyfrowy identyfikator dokumentu: 10.1016/S0034-4877(05)80051-5
The Delsarte-Darboux type binary transformations, their differential-geometric and operator structure with applications, Pt. 2 — Bìnarnì peretvorenniâ tipu Del'sarta-Darbu, ïhnâ diferencìal'no-geometrična ta operatorna strukturi z zastosuvannâmi, [Č.] 2 / Ya. A. PRYKARPATSKY, A. M. Samoilenko // Prikladnì Problemi Mehanìki ì Matematiki ; ISSN 1810-3022. — 2004 iss. 2, s. 7–30. — Bibliogr. s. 28–30
The Delsarte-Darboux type binary transformations, their differential-geometric and operator structure with applications, Pt. 1 / Jarema A. PRYKARPATSKY, Anatoliy M. Samoilenko // Opuscula Mathematica ; ISSN 1232-9274. — Tytuł poprz.: Scientific Bulletins of Stanisław Staszic Academy of Mining and Metallurgy. Opuscula Mathematica. — 2006 vol. 26 no. 1, s. 137–150. — Bibliogr. s. 148–149, Abstr.. — tekst: http://journals-1bg-1agh-1edu-1pl-1ftlf1rjl0ebc.wbg2.bg.agh.edu.pl/OPUSCULA/26-1/26-1-10.pdf
keywords: Delsarte transmutation operators, parametric functional spaces, Darboux transformations, inverse spectral transform problem, soliton equations, Zakharov-Shabat equations
The ergodic measures related with nonautonomous Hamiltonian systems and their homology structure, Pt. 1 / Denis L. Blackmore, Yarema A. PRYKARPATSKY, Anatoliy M. Samoilenko, Anatoliy K. PRYKARPATSKY // Cubo : a mathematical journal / Universidad de La Frontera. Departamento de Matemáticas y Estadística ; ISSN 0716-7776. — 2005 vol. 7 no. 3, s. 49–63
The general differential-geometric structure of multidimensional Delsarte transmutation operators in parametric functional spaces and their applications in soliton theory, Pt. 2 / J. GOLENIA, Y. A. PRYKARPATSKY, A. M. Samoilenko, A. K. PRYKARPATSKY // Opuscula Mathematica ; ISSN 1232-9274. — Tytuł poprz.: Scientific Bulletins of Stanisław Staszic Academy of Mining and Metallurgy. Opuscula Mathematica. — 2004 R. 24 [no.] 1, s. 71–83. — Bibliogr. s. 82–83, Abstr.. — tekst: https://www.opuscula.agh.edu.pl/om-vol24iss1art6
keywords: Delsarte transmutation operators, parametric functional spaces, Darboux transformations, inverse spectral transform problem, soliton equations, Zakharov-Shabat equations, polynomial operator pencils
Zobacz pełny wykaz publikacji Autora/Autorów: Anatolij Prykarpatsky, Jolanta Golenia
The generalized de Rham-Hodge theory aspects of Delsarte-Darboux type transformations in multidimension / Anatoliy Mykhaylovich Samoilenko, Yarema Anatoliyovych PRYKARPATSKY, Anatoliy Karolevych PRYKARPATSKY // Central European Journal of Mathematics ; ISSN 1895-1074. — 2005 vol. 3 no. 3, s. 529–557. — Bibliogr. s. 554–557, Abstr.. — tekst: https://link-1springer-1com-1nyztlj1y06b6.wbg2.bg.agh.edu.pl/content/pdf/10.2478%2FBF02475922.pdf
keywords: Delsarte transmutation operators, generalized de Rham-Hodge differential complex, parametric functional spaces, Darboux transformations, inverse spectral transform problem, soliton equations, Laplace and Dirac type operators, Zakharov-Shabat equations
The geometric properties of reduced canonically symplectic spaces with symmetry, their relationship with structures on associated principal fiber bundles and some applications, Pt. 1 / Yarema A. PRYKARPATSKY, Anatoliy M. Samoilenko, Anatolij K. PRYKARPATSKY // Opuscula Mathematica ; ISSN 1232-9274. — Tytuł poprz.: Scientific Bulletins of Stanisław Staszic Academy of Mining and Metallurgy. Opuscula Mathematica. — 2005 vol. 25 no. 2, s. 287–298. — Bibliogr. s. 296–297, Abstr.. — Y. A. Prykarpatsky - pierwsza afiliacja: The Institute of Mathematics, NAS, Kyiv, Ukraine. — tekst: http://journals-1bg-1agh-1edu-1pl-1ftlf1r1y06c9.wbg2.bg.agh.edu.pl/OPUSCULA/25-2/25-2-11.pdf
keywords: symplectic structures, Hamiltonian reduction, connections, principal fiber bundles, Yang–Mills type gauge fields
The Hodge theory of multidimensional Delsarte transmutation differential operators and its application for integrable nonlinear dynamical systems / K. PRYKARPATSKY, D. Blackmore, J. A. PRYKARPATSKY // 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. 240. — Bibliogr. s. 240
The multidimensional Delsarte transmutation operators, their differential-geometric structure and applications, Pt. 1 / Anatoliy K. PRYKARPATSKY, Anatoliy M. Samoilenko, Yarema A. PRYKARPATSKY // Opuscula Mathematica ; ISSN 1232-9274. — Tytuł poprz.: Scientific Bulletins of Stanisław Staszic Academy of Mining and Metallurgy. Opuscula Mathematica. — 2003 R. 23, s. 71–80. — Bibliogr. s. 79–80, Abstr.. — tekst: https://www.opuscula.agh.edu.pl/vol23/1/23-1-07.pdf
keywords: Delsarte transmutation operators, Darboux transformations, inverse spectral transform problem