Zobrazeno 1 - 10
of 230
pro vyhledávání: '"O., Parasyuk"'
Autor:
R. M. Kushnir, I. O. Lukovs’kyi, V. L. Makarov, V. O. Marchenko, L. A. Pastur, M. O. Perestyuk, O. M. Tymokha, Ye. Ya. Khruslov, O. A. Boichuk, V. Ya. Gutlyanskii, A. N. Kochubei, A. G. Nikitin, M. I. Portenko, I. O. Parasyuk, R. I. Petryshyn, M. I. Ronto, V. I. Tkachenko, S. I. Trofymchuk
Publikováno v:
Ukrains’kyi Matematychnyi Zhurnal. 75:3-6
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ea594aefc5f2f8cbda3a38305b94201c
https://doi.org/10.37863/umzh.v75i1.7315
https://doi.org/10.37863/umzh.v75i1.7315
Autor:
I. O. Parasyuk, L. V. Protsak
Publikováno v:
Journal of Mathematical Sciences. 263:248-257
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e9dd88a2b30636bd49f1c9bb251acdc2
https://doi.org/10.1007/s10958-022-05923-8
https://doi.org/10.1007/s10958-022-05923-8
Autor:
I. O. Parasyuk
Publikováno v:
Journal of Mathematical Sciences. 240:323-341
We consider a natural Lagrangian system that describes the motion of a solid body under the action of superposition of two potential force fields. The first field is a stationary field with quadratic potential, while the potential of the second field
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::67357d0660172d16f28715df2b319c6b
https://doi.org/10.1007/s10958-019-04355-1
https://doi.org/10.1007/s10958-019-04355-1
Autor:
B. V. Repeta, I. O. Parasyuk
Publikováno v:
Journal of Mathematical Sciences. 222:312-335
We present additional information on the dynamics of a fast-slow system with dynamic bifurcation of multifrequency oscillations. It is shown that, parallel with an asymptotically stable invariant torus, the system also possesses hyperbolic invariant
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3e1da1c8fe251219240982a47e6d5c36
https://doi.org/10.1007/s10958-017-3302-y
https://doi.org/10.1007/s10958-017-3302-y
Publikováno v:
Ukrainian Journal of Physical Optics. 2016, Vol. 17 Issue 4, p141-147. 7p.
Autor:
I. O. Parasyuk
Publikováno v:
Ukrainian Mathematical Journal. 66:1553-1574
The paper deals with a quasiperiodically excited natural Lagrangian system on a Riemannian manifold. We find sufficient conditions under which this system has a weak Besicovitch quasiperiodic solution minimizing the averaged Lagrangian. It is proved
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54efb2703fcd91f2087f0b15f5b6b354
https://doi.org/10.1007/s11253-015-1031-2
https://doi.org/10.1007/s11253-015-1031-2
Autor:
V. A. Lahoda, I. O. Parasyuk
Publikováno v:
Ukrainian Mathematical Journal. 65:114-131
We consider a nonlinear system on the direct product $ {{\mathbb{R}}^m}\times {{\mathbb{R}}^n} $ . For this system, under the conditions of indefinite coercivity and indefinite monotonicity, we establish the existence of a bounded Lipschitz invariant
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3af53269e876d8d893af250311bf76a4
https://doi.org/10.1007/s11253-013-0768-8
https://doi.org/10.1007/s11253-013-0768-8
Autor:
I. O. Parasyuk, Yu. E. Vakal
Publikováno v:
Ukrainian Mathematical Journal. 64:525-554
UDC 517.9 The Arnold method for the detection of fixed points of symplectic diffeomorphisms is used to establish lower estimates for the number of ultrasubharmonics in a Hamiltonian system on a two-dimensional symplectic manifold with an almost auton
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3da50eb9950e8d9424a204e0fc80cc63
https://doi.org/10.1007/s11253-012-0663-8
https://doi.org/10.1007/s11253-012-0663-8
Publikováno v:
Ukrainian Mathematical Journal. 64:408-432
We consider a nonlinear system in the direct product of a torus and a Euclidean space. For this system, under the conditions of indefinite coercivity and indefinite monotonicity, we establish the existence of a Lipschitz invariant section.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5232f5080b484d5da1e176bd405c48b9
https://doi.org/10.1007/s11253-012-0655-8
https://doi.org/10.1007/s11253-012-0655-8
Autor:
I. O. Parasyuk, Yu. E. Vakal
Publikováno v:
Nonlinear Oscillations. 14:149-186
UDC 517.9 We consider a two-dimensional autonomous Hamiltonian system with heteroclinic contour under the action of a time-periodic perturbation. It is shown that the number of ultrasubharmonics in the perturbed system is estimated from below by a fu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9590fb0c951ee6c1e0a5358f47ff6419
https://doi.org/10.1007/s11072-011-0149-x
https://doi.org/10.1007/s11072-011-0149-x