Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Prikarpatskii, A."'
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 160:249-269
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::79e9a6d2d826c3f0e49f4d5ee5ba9cc0
https://doi.org/10.4213/tmf6396
https://doi.org/10.4213/tmf6396
Autor:
A. M. Samoilenko, Ya A. Prikarpatskii
Publikováno v:
Ukrainian Mathematical Journal. 51:1713-1728
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e8284a988824981b7f2ededf14fc979a
https://doi.org/10.1007/bf02525274
https://doi.org/10.1007/bf02525274
Autor:
Ya. A. Prikarpatskii, A. M. Samoilenko
Publikováno v:
Ukrainian Mathematical Journal. 51:1556-1568
By using the Cartan differential-geometric theory of integral submanifolds (invariant tori) of completely Liouville-Arnol’d integrable Hamiltonian systems on the cotangent phase space, we consider an algebraic-analytic method for the investigation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d6f6bfafaaa13f7cfdf41506dbfbbc31
https://doi.org/10.1007/bf02981688
https://doi.org/10.1007/bf02981688
Publikováno v:
Ukrainian Mathematical Journal. 45:1878-1892
On the basis of the geometric ideas of Poincare and Mel'nikov, we study sufficient criteria of the transversal splitting of heteroclinic separatrix manifolds of slowly perturbed nonlinear dynamical systems with a small parameter. An example of adiaba
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4c1d0d27d7e7da4aeb21e475fc2e24dc
https://doi.org/10.1007/bf01061358
https://doi.org/10.1007/bf01061358
Publikováno v:
Journal of Soviet Mathematics. 67:2993-2998
We develop a symplectic method of finding the adiabatic invariants of nonlinear dynamic systems with small parameter. We show that a necessary and sufficient condition for the existence of quasi-Hamiltonian adiabatic invariants of nonlinear dynamic s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::91ce336640706880c206d4b5592f6b9e
https://doi.org/10.1007/bf01095884
https://doi.org/10.1007/bf01095884
Autor:
A. K. Prikarpatskii, Yu. N. Sidorenko
Publikováno v:
Journal of Soviet Mathematics. 65:1921-1927
On the basis of the gradient method of N. N. Bogolyubov, Jr. and the method of finite-zoned integration of S. P. Novikov the authors give a large class of quasiperiodic exact solutions of the Ablowitz dynamical system with the help of the Riemann the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::50bd59bc25b5aaeea92ddd34e0649cad
https://doi.org/10.1007/bf01097470
https://doi.org/10.1007/bf01097470
Autor:
A. A. Evtushenko, A. K. Prikarpatskii
Publikováno v:
Ukrainian Mathematical Journal. 44:1487-1490
Use of a parametric intego-interpolational method is proposed for the study of singular integral equations with a singular kernel of Cauchy type; the method involves replacing the regular part of a quadratic formula with subsequent inversion of a sin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d7235d19cdd20fa38c4c5866f56725b3
https://doi.org/10.1007/bf01071525
https://doi.org/10.1007/bf01071525
Autor:
A. K. Prikarpatskii, V. S. Kuibida
Publikováno v:
Ukrainian Mathematical Journal. 44:318-330
A new analytic approach to the description of the class of parametrically Lax-integrable nonlinear nonhomogeneous dynamical systems defined on functional manifolds that generalizes the well-known Mitropol'skii asymptotic method [1] is developed. Unde
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0250658b41a732cdfc108a853d7a70bd
https://doi.org/10.1007/bf01063132
https://doi.org/10.1007/bf01063132
Publikováno v:
Ukrainian Mathematical Journal. 43:63-74
Some aspects are considered of a gradient holonomic algorithm in the theory of integrability of nonlinear dynamic systems. The gradient holonomic method yields recursion operators that explicitly contain a space variable and a time variable. An algor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::64ed3518849f3bef4bdd43a4832d5e2d
https://doi.org/10.1007/bf01066906
https://doi.org/10.1007/bf01066906
Autor:
A. K. Prikarpatskii, N. N. Bogolyubov
Publikováno v:
Ukrainian Mathematical Journal. 42:702-707
Isospectral problems for operator-valued Sturm-Liouville and Dirac differential expressions are considered. Within the framework of the gradient method, one establishes the complete integrability of the Lax associated nonlinear Hamiltonian systems wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7bb752d60a932e798e54709c00ff4b2d
https://doi.org/10.1007/bf01058917
https://doi.org/10.1007/bf01058917