Hentosh, O. E.; Prykarpatskyy, Ya. A.; Balinsky, A. A.; Prykarpatski, A. K. Geometric structures on the orbits of loop diffeomorphism groups and related heavenly-type Hamiltonian systems. I. (English. Ukrainian original) Zbl 1515.37075 Ukr. Math. J. 74, No. 8, 1175-1208 (2023); translation from Ukr. Mat. Zh. 74, No. 8, 1029-1059 (2022). MSC: 37K30 37K10 37K65 17B80 PDFBibTeX XMLCite \textit{O. E. Hentosh} et al., Ukr. Math. J. 74, No. 8, 1175--1208 (2023; Zbl 1515.37075); translation from Ukr. Mat. Zh. 74, No. 8, 1029--1059 (2022) Full Text: DOI
Prykarpatski, Anatolij K. About the solutions to the Witten-Dijkgraaf-Verlinde-Verlinde associativity equations and their Lie-algebraic and geometric properties. (English) Zbl 1447.37059 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1–7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 57-67 (2019). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 37J37 37J39 37K25 37K30 PDFBibTeX XMLCite \textit{A. K. Prykarpatski}, in: Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1--7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. 57--67 (2019; Zbl 1447.37059) Full Text: DOI
Prykarpatski, Anatolij K. On the solutions to the Witten-Dijkgraaf-Verlinde-Verlinde associativity equations and their algebraic properties. (English) Zbl 1404.35008 J. Geom. Phys. 134, 77-83 (2018). MSC: 35A30 35G25 35N10 37K35 58J70 58J72 34A34 PDFBibTeX XMLCite \textit{A. K. Prykarpatski}, J. Geom. Phys. 134, 77--83 (2018; Zbl 1404.35008) Full Text: DOI
Hentosh, Oksana Ye.; Prykarpatsky, Anatoliy K. Integrable three-dimensional coupled nonlinear dynamical systems related with centrally extended operator Lie algebras. (English) Zbl 1145.37035 Opusc. Math. 27, No. 2, 231-244 (2007). MSC: 37K10 37K30 PDFBibTeX XMLCite \textit{O. Ye. Hentosh} and \textit{A. K. Prykarpatsky}, Opusc. Math. 27, No. 2, 231--244 (2007; Zbl 1145.37035)
Golenia, J.; Hentosh, O. Ye.; Prykarpatsky, A. K. Integrable three-dimensional coupled nonlinear dynamical systems related to centrally extended operator Lie algebras and their Lax type three-linearization. (English) Zbl 1126.35054 Cent. Eur. J. Math. 5, No. 1, 84-104 (2007). MSC: 35Q53 37K10 37K30 PDFBibTeX XMLCite \textit{J. Golenia} et al., Cent. Eur. J. Math. 5, No. 1, 84--104 (2007; Zbl 1126.35054) Full Text: DOI
Gafijchuk, V.; Prykarpats’kyj, A.; Prytula, M. Symplectic analysis of dynamical systems associated with the stochastic replicator Fisher type model. (Ukrainian. English summary) Zbl 1066.37041 Visn. L’viv. Univ., Ser. Prykl. Mat. Inform. 2003, No. 6, 135-143 (2003). MSC: 37K10 53C40 82C32 92B20 PDFBibTeX XMLCite \textit{V. Gafijchuk} et al., Visn. L'viv. Univ., Ser. Prykl. Mat. Inform. 2003, No. 6, 135--143 (2003; Zbl 1066.37041)
Prykarpatsky, A.; Blackmore, D.; Bogoliubov, N. N. jun. Hamiltonian structure of Benney type hydrodynamic and Boltzmann-Vlasov kinetic equations on an axis and some applications to manufacturing science. (English) Zbl 1014.37042 Open Syst. Inf. Dyn. 6, No. 4, 335-373 (1999). MSC: 37K05 37N10 82C40 PDFBibTeX XMLCite \textit{A. Prykarpatsky} et al., Open Syst. Inf. Dyn. 6, No. 4, 335--373 (1999; Zbl 1014.37042) Full Text: DOI
Prykarpatsky, A. K.; Zagrodzińsky, J. A.; Blackmore, D. L. Lax-type flows on Grassmann manifolds and dual momentum mappings. (English) Zbl 0939.37047 Rep. Math. Phys. 40, No. 3, 539-549 (1997). MSC: 37K10 37J15 PDFBibTeX XMLCite \textit{A. K. Prykarpatsky} et al., Rep. Math. Phys. 40, No. 3, 539--549 (1997; Zbl 0939.37047) Full Text: DOI