Edit Profile (opens in new tab) Parasyuk, Igor O. Co-Author Distance Author ID: parasyuk.igor-o Published as: Parasyuk, I. O.; Parasyuk, Igor; Parasyuk, I.; Parasyuk, Igor O.; Parasyuk, Ihor more...less Homepage: http://www.diffeq.univ.kiev.ua/eng/?id=41 External Links: MGP · ORCID Documents Indexed: 84 Publications since 1973, including 1 Book and 4 Additional arXiv Preprints Co-Authors: 60 Co-Authors with 47 Joint Publications 1,964 Co-Co-Authors all top 5 Co-Authors 37 single-authored 10 Samoĭlenko, Anatoliĭ Mykhaĭlovych 5 Perestyuk, Mykola Oleksiĭovych 4 Lukovsky, Ivan Oleksandrovych 4 Makarov, Volodymyr Leonidovych 4 Zakharin, Sergei F. 3 Boĭchuk, Oleksandr Andriĭovych 3 Lovejkin, Yu. V. 3 Pozur, Sergij V. 3 Protsak, L. V. 3 Sharkovs’kyĭ, Oleksandr Mykolaĭovych 3 Stanzhyts’ky, O. M. 3 Tkachenko, Victor Ivanovich 3 Vakal, Yu. E. 2 Antonyuk, Oleksandra Viktorivna 2 Antonishin, I. O. 2 Berezans’kyĭ, Yuriĭ Makarovych 2 Denysenko, Oleksandr M. 2 Fushchych, Vil’gel’m Illich 2 Korolyuk, Volodymyr Semenovych 2 Kubichka, Andrij A. 2 Lagoda, Volodymyr 2 Lahoda, V. A. 2 Luchko, Alina 2 Nikitin, A. H. 2 Repeta, B. V. 2 Ronto, M. I. 2 Rustamova, Anna 1 Diblík, Josef 1 Fečkan, Michal 1 Gorodnii, M. F. 1 Horishna, Yulia 1 Hutlyans’kyi, V. Ya. 1 Kapudtyan, O. V. 1 Khruslov, Eugene Yakovlevich 1 Kiguradze, Ivan Tarielovich 1 Kochubeĭ, Anatoliĭ Naumovych 1 Kozachenko, Yuriĭ Vasyl’ovych 1 Kulinich, Grygoriĭ Logvynovych 1 Kushnir, Roman M. 1 Kyrychenko, Volodymyr Vasyl’ovych 1 Loveikin, Yu. V. 1 Marchenko, V. O. 1 Meleshko, V’yacheslav Volodymyrovych 1 Nagornyj, Volodymyr N. 1 Pastur, Leonid Andreevich 1 Petryshyn, Roman I. 1 Plakhotnyk, V. V. 1 Portenko, Mykola Ivanovych 1 Pratsiovytyi, Mykola 1 Protsak, Lyudmyla 1 Repeta, Bogdan 1 Romanchenko, I. A. 1 Rozov, Nikolaĭ Khristovich 1 Samoĭlenko, Valeriĭ Grygorovych 1 Shevchuk, Igor Oleksandrovych 1 Teplinsky, Yuriy V. 1 Trofimchuk, Sergei I. 1 Vyshenskij, V. A. 1 Zakhavin, S. V. 1 Zhuravlëv, Viktor Filippovich all top 5 Serials 17 Ukrainian Mathematical Journal 15 Ukraïns’kyĭ Matematychnyĭ Zhurnal 8 Visnyk. Matematyka. Mekhanika. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 5 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 4 Journal of Mathematical Sciences (New York) 4 Neliniĭni Kolyvannya 3 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 3 Electronic Journal of Differential Equations (EJDE) 3 Journal of Nonlinear Mathematical Physics 3 Nonlinear Oscillations 2 Dopovidi Akademiï Nauk Ukraïni 1 Funkcialaj Ekvacioj. Serio Internacia 1 Mathematical Inequalities & Applications 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Matematychnyĭ Visnyk Naukovogo Tovarystva Im. Shevchenka all top 5 Fields 46 Ordinary differential equations (34-XX) 42 Dynamical systems and ergodic theory (37-XX) 17 Mechanics of particles and systems (70-XX) 7 Integral equations (45-XX) 6 Partial differential equations (35-XX) 5 History and biography (01-XX) 4 Differential geometry (53-XX) 3 Operator theory (47-XX) 2 Real functions (26-XX) 2 Optics, electromagnetic theory (78-XX) 1 Number theory (11-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 98 times in 75 Documents Cited by ▼ Year ▼ Conservation of quasi-periodic motions of reversible multifrequency systems. Zbl 0502.34026 Parasyuk, I. O. 18 1982 Differential equations. 2nd revised ed. (Dyferentsial’ni rivnyannya.) Zbl 1330.34005 Samoilenko, A. M.; Perestyuk, M. O.; Parasyuk, I. O. 12 2003 Conservation of multidimensional invariant tori of Hamiltonian systems. Zbl 0561.58017 Parasyuk, I. O. 8 1984 Generalized and classical almost periodic solutions of Lagrangian systems. Zbl 1141.37350 Zakharin, Sergei F.; Parasyuk, Igor O. 8 1999 On preservation of invariant tori of Hamiltonian systems. Zbl 0587.58019 Parasyuk, I. O. 8 1984 On smoothness of generalized quasiperiodic solutions of Lagrangian systems on Riemannian manifolds of nonpositive curvature. Zbl 1006.37036 Zakharin, S. F.; Parasyuk, I. O. 5 1999 Variational approach for weak quasiperiodic solutions of quasiperiodically excited Lagrangian systems on Riemannian manifolds. Zbl 1260.37030 Parasyuk, Igor; Rustamova, Anna 3 2012 Bifurcation of a Whitney-smooth family of coisotropic invariant tori of a Hamiltonian system under small deformation of a symplectic structure. Zbl 0995.37047 Kubichka, A. A.; Parasyuk, I. O. 3 2001 Coisotropic invariant tori of Hamiltonian systems of the quasiclassical theory of motion of a conduction electron. Zbl 0706.58062 Parasyuk, I. O. 3 1990 Zones of instability of the Schrödinger equation with a smooth quasiperiodic potential. Zbl 0435.34042 Parasyuk, I. O. 3 1978 Theorem on the existence of an invariant section over \(\mathbb R^m\) for the indefinite monotone system in \(\mathbb R^m\times\mathbb R^n\). Zbl 1303.34037 Lahoda, V. A.; Parasyuk, I. O. 3 2013 Reduction and coisotropic invariant tori of Hamiltonian systems with non-Poisson commutative symmetries. II. Zbl 0841.58026 Parasyuk, I. O. 2 1994 Integral representation of solutions to boundary-value problems on the half-line for linear ODEs with singularity of the first kind. Zbl 1172.34016 Horishna, Yulia; Parasyuk, Igor; Protsak, Lyudmyla 2 2008 Variables of the action-angle type on symplectic manifolds stratified by coisotropic tori. Zbl 0813.58023 Parasyuk, I. O. 2 1993 Dynamical bifurcation of multifrequency oscillations in a fast-slow system. Zbl 1376.34045 Samoilenko, A. M.; Parasyuk, I. O.; Repeta, B. V. 2 2015 Quasiperiodic extremals of nonautonomous Lagrangian systems on Riemannian manifolds. Zbl 1376.37109 Parasyuk, I. O. 2 2015 Hyperbolic quasiperiodic solutions of U-monotone systems on Riemannian manifolds. (Hyperbolic quasiperiodic solutions of U-monotone systems on Reimannian manifolds.) Zbl 1428.34063 Parasyuk, Igor O. 2 2019 A theorem on perturbation of coisotropic invariant tori of locally Hamiltonian systems and its application. Zbl 1107.37050 Lovejkin, Yu. V.; Parasyuk, I. O. 1 2005 Bifurcation of the Cantor set of coisotropic invariant tori of the Hamiltonian system under symplectic structure perturbation. Zbl 0935.37019 Parasyuk, I. O. 1 1998 On Galerkin’s method in the perturbation theory of invariant tori. Zbl 0358.34040 Samojlenko, A. M.; Parasyuk, I. O. 1 1977 Non-Poissonian commutative symmetries and multidimensional invariant tori of Hamiltonian systems. Zbl 0616.58018 Parasyuk, I. O. 1 1984 Qualitative analysis of families of bounded solutions of the nonlinear three-dimensional Schrödinger equation. Zbl 0727.35127 Parasyuk, I. O.; Fushchich, V. I. 1 1990 On the one-dimensional Schrödinger equation with almost periodic potential. Zbl 0395.35083 Parasyuk, I. O. 1 1978 Invariant tori of locally Hamiltonian systems close to conditionally integrable systems. Zbl 1144.37445 Lovejkin, Yu. V.; Parasyuk, I. O. 1 2007 Estimate for the number of perturbed ultrasubharmonics of a system with one and a half degrees of freedom close to a Hamiltonian system. Zbl 1336.37051 Vakal, Yu. E.; Parasyuk, I. O. 1 2011 Substantiation of the Galerkin’s procedure for indefinite monotone quasi-periodic systems. Zbl 1034.34052 Parasyuk, I. O.; Romanchenko, I. A. 1 2002 Existence of \(V\)-bounded solutions for non-autonomous nonlinear systems via the Ważewski topological principle. Zbl 1289.34104 Lagoda, Volodymyr; Parasyuk, Igor 1 2010 Lipschitz invariant tori of indefinite-monotone systems. Zbl 1267.37063 Samoilenko, A. M.; Parasyuk, I. O.; Lahoda, V. A. 1 2012 Bifurcation of coisotropic invariant tori under locally Hamiltonian perturbations of integrable systems and nondegenerate deformation of symplectic structure. Zbl 1262.37026 Loveikin, Yu. V.; Parasyuk, I. O. 1 2006 Hyperbolic quasiperiodic solutions of U-monotone systems on Riemannian manifolds. (Hyperbolic quasiperiodic solutions of U-monotone systems on Reimannian manifolds.) Zbl 1428.34063 Parasyuk, Igor O. 2 2019 Dynamical bifurcation of multifrequency oscillations in a fast-slow system. Zbl 1376.34045 Samoilenko, A. M.; Parasyuk, I. O.; Repeta, B. V. 2 2015 Quasiperiodic extremals of nonautonomous Lagrangian systems on Riemannian manifolds. Zbl 1376.37109 Parasyuk, I. O. 2 2015 Theorem on the existence of an invariant section over \(\mathbb R^m\) for the indefinite monotone system in \(\mathbb R^m\times\mathbb R^n\). Zbl 1303.34037 Lahoda, V. A.; Parasyuk, I. O. 3 2013 Variational approach for weak quasiperiodic solutions of quasiperiodically excited Lagrangian systems on Riemannian manifolds. Zbl 1260.37030 Parasyuk, Igor; Rustamova, Anna 3 2012 Lipschitz invariant tori of indefinite-monotone systems. Zbl 1267.37063 Samoilenko, A. M.; Parasyuk, I. O.; Lahoda, V. A. 1 2012 Estimate for the number of perturbed ultrasubharmonics of a system with one and a half degrees of freedom close to a Hamiltonian system. Zbl 1336.37051 Vakal, Yu. E.; Parasyuk, I. O. 1 2011 Existence of \(V\)-bounded solutions for non-autonomous nonlinear systems via the Ważewski topological principle. Zbl 1289.34104 Lagoda, Volodymyr; Parasyuk, Igor 1 2010 Integral representation of solutions to boundary-value problems on the half-line for linear ODEs with singularity of the first kind. Zbl 1172.34016 Horishna, Yulia; Parasyuk, Igor; Protsak, Lyudmyla 2 2008 Invariant tori of locally Hamiltonian systems close to conditionally integrable systems. Zbl 1144.37445 Lovejkin, Yu. V.; Parasyuk, I. O. 1 2007 Bifurcation of coisotropic invariant tori under locally Hamiltonian perturbations of integrable systems and nondegenerate deformation of symplectic structure. Zbl 1262.37026 Loveikin, Yu. V.; Parasyuk, I. O. 1 2006 A theorem on perturbation of coisotropic invariant tori of locally Hamiltonian systems and its application. Zbl 1107.37050 Lovejkin, Yu. V.; Parasyuk, I. O. 1 2005 Differential equations. 2nd revised ed. (Dyferentsial’ni rivnyannya.) Zbl 1330.34005 Samoilenko, A. M.; Perestyuk, M. O.; Parasyuk, I. O. 12 2003 Substantiation of the Galerkin’s procedure for indefinite monotone quasi-periodic systems. Zbl 1034.34052 Parasyuk, I. O.; Romanchenko, I. A. 1 2002 Bifurcation of a Whitney-smooth family of coisotropic invariant tori of a Hamiltonian system under small deformation of a symplectic structure. Zbl 0995.37047 Kubichka, A. A.; Parasyuk, I. O. 3 2001 Generalized and classical almost periodic solutions of Lagrangian systems. Zbl 1141.37350 Zakharin, Sergei F.; Parasyuk, Igor O. 8 1999 On smoothness of generalized quasiperiodic solutions of Lagrangian systems on Riemannian manifolds of nonpositive curvature. Zbl 1006.37036 Zakharin, S. F.; Parasyuk, I. O. 5 1999 Bifurcation of the Cantor set of coisotropic invariant tori of the Hamiltonian system under symplectic structure perturbation. Zbl 0935.37019 Parasyuk, I. O. 1 1998 Reduction and coisotropic invariant tori of Hamiltonian systems with non-Poisson commutative symmetries. II. Zbl 0841.58026 Parasyuk, I. O. 2 1994 Variables of the action-angle type on symplectic manifolds stratified by coisotropic tori. Zbl 0813.58023 Parasyuk, I. O. 2 1993 Coisotropic invariant tori of Hamiltonian systems of the quasiclassical theory of motion of a conduction electron. Zbl 0706.58062 Parasyuk, I. O. 3 1990 Qualitative analysis of families of bounded solutions of the nonlinear three-dimensional Schrödinger equation. Zbl 0727.35127 Parasyuk, I. O.; Fushchich, V. I. 1 1990 Conservation of multidimensional invariant tori of Hamiltonian systems. Zbl 0561.58017 Parasyuk, I. O. 8 1984 On preservation of invariant tori of Hamiltonian systems. Zbl 0587.58019 Parasyuk, I. O. 8 1984 Non-Poissonian commutative symmetries and multidimensional invariant tori of Hamiltonian systems. Zbl 0616.58018 Parasyuk, I. O. 1 1984 Conservation of quasi-periodic motions of reversible multifrequency systems. Zbl 0502.34026 Parasyuk, I. O. 18 1982 Zones of instability of the Schrödinger equation with a smooth quasiperiodic potential. Zbl 0435.34042 Parasyuk, I. O. 3 1978 On the one-dimensional Schrödinger equation with almost periodic potential. Zbl 0395.35083 Parasyuk, I. O. 1 1978 On Galerkin’s method in the perturbation theory of invariant tori. Zbl 0358.34040 Samojlenko, A. M.; Parasyuk, I. O. 1 1977 all cited Publications top 5 cited Publications all top 5 Cited by 70 Authors 13 Parasyuk, Igor O. 9 Sevryuk, Mikhail Borisovich 9 Wang, Xiaocai 8 Xu, Junxiang 8 Zhang, Dongfeng 6 Li, Yong 4 Cong, Fuzhong 4 Slyusarchuk, Vasyl Yukhimovich 3 Kulyk, V. L. 3 Samoĭlenko, Anatoliĭ Mykhaĭlovych 2 Burkotová, Jana 2 Cao, Xiaofei 2 Cieutat, Philippe 2 Fassò, Francesco 2 Huang, Qingdao 2 Lahoda, V. A. 2 Rachůnková, Irena 2 Stanzhytskyi, Oleksandr M. 2 Stepanenko, N. V. 2 Weinmüller, Ewa B. 2 Wu, Hao 2 Yi, Yingfei 1 Bajcinca, Naim 1 Bogolyubov, Nikolaĭ Nikolaevich jun. 1 Broer, Henk W. 1 Burylko, O. A. 1 Burylko, Oleksandr 1 Feketa, Petro V. 1 Filippov, M. G. 1 Fushchych, Vil’gel’m Illich 1 Gentile, Guido 1 Giacobbe, Andrea 1 Gladilina, R. I. 1 Grigorkiv, V. S. 1 Han, Yuliang 1 Hong, Jialin 1 Hrod, I. M. 1 Huitema, G. B. 1 Karpenko, O. V. 1 Kravets, Vasyl’ I. 1 Kuang, Juhong 1 Kulyk, H. M. 1 Kuzina, Yuliya Vasil’evna 1 Liu, Xuqing 1 Loveikin, Yu. V. 1 Martynyuk, Petro M. 1 Mazzoccoli, Alessandro 1 Mielke, Alexander 1 Misiats, Oleksandr 1 Nakonechny, O. G. 1 Perestyuk, Mykola Oleksiĭovych 1 Prykarpatsky, Anatoliy Karolevych 1 Quispel, Gilles Reinout Willem 1 Repeta, B. V. 1 Samoĭlenko, Valeriĭ Grygorovych 1 Shen, Wenxian 1 Shevchuk, Iu. M. 1 Staněk, Svatoslav 1 Tkachenko, Victor Ivanovich 1 Vaia, Faenia 1 Vakal, Yu. E. 1 Wolfrum, Matthias 1 Yanchuk, Sergiĭ Volodymyrovych 1 Yang, Xiaomei 1 Yip, Nung Kwan 1 You, Jiangong 1 Zernov, Alexander E. 1 Zhang, Xingyong 1 Zhao, Xuefeng 1 Zin’ko, Petro M. all top 5 Cited in 35 Serials 15 Ukrainian Mathematical Journal 10 Journal of Mathematical Sciences (New York) 4 Journal of Mathematical Analysis and Applications 4 Acta Applicandae Mathematicae 3 Journal of Differential Equations 3 Journal of Dynamics and Differential Equations 3 Discrete and Continuous Dynamical Systems 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Chaos 2 Regular and Chaotic Dynamics 2 Qualitative Theory of Dynamical Systems 2 Nonlinear Oscillations 1 Journal of Geometry and Physics 1 Automatica 1 Journal of Soviet Mathematics 1 Transactions of the American Mathematical Society 1 Physica D 1 Applied Numerical Mathematics 1 Journal of Theoretical Probability 1 Indagationes Mathematicae. New Series 1 Cybernetics and Systems Analysis 1 Abstract and Applied Analysis 1 Matematychni Studiï 1 Mathematical Inequalities & Applications 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Advanced Nonlinear Studies 1 SIAM Journal on Applied Dynamical Systems 1 Advances in Difference Equations 1 Boundary Value Problems 1 Proceedings of the Steklov Institute of Mathematics 1 Frontiers of Mathematics in China 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Cited in 16 Fields 46 Dynamical systems and ergodic theory (37-XX) 35 Ordinary differential equations (34-XX) 26 Mechanics of particles and systems (70-XX) 5 Operator theory (47-XX) 4 Partial differential equations (35-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Difference and functional equations (39-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 Real functions (26-XX) 1 Geometry (51-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year