Zobrazeno 1 - 10
of 34
pro vyhledávání: '"E. F. Mishchenko"'
Publikováno v:
Computational Mathematics and Mathematical Physics. 50:1990-2002
A new mathematical object is introduced, namely, a scalar nonlinear delay differential-difference equation is considered that is a modification of Hutchinson’s equation, which is well known in ecology. The existence and stability of its relaxation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::22ca7cfd91f74f9c991332a5bad86e91
https://doi.org/10.1134/s0965542510120031
https://doi.org/10.1134/s0965542510120031
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 268:130-147
We consider a boundary value problem for the spatially one-dimensional Swift-Hohenberg equation with zero Neumann boundary conditions at the endpoints of a finite interval. We establish that as the length l of the interval increases while the supercr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::38d089de701099810bcfc7e2745168c1
https://doi.org/10.1134/s0081543810010116
https://doi.org/10.1134/s0081543810010116
Publikováno v:
International Applied Mechanics. 45:693-698
This paper is dedicated to the memory of N. N. Bogolyubov in recognition of his towering stature in nonlinear mechanics and theoretical physics, his remarkable many-sided genius, and the originality and depth of his contribution to the world’s scie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::204e34705e102494c7dced8200dbbed5
https://doi.org/10.1007/s10778-009-0226-3
https://doi.org/10.1007/s10778-009-0226-3
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 261:149-170
We consider a special class of nonlinear systems of ordinary differential equations, namely, the so-called flutter systems, which arise in Galerkin approximations of certain boundary value problems of nonlinear aeroelasticity and in a number of radio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d2bb3efc540805027682da6c3e4edb02
https://doi.org/10.1134/s0081543808020120
https://doi.org/10.1134/s0081543808020120
Publikováno v:
Ukrainian Mathematical Journal. 60:66-77
We establish conditions under which, in three-dimensional relaxation systems of the form {fx066-01}, where 0 < e << 1, |μ| << 1, and ƒ, g ∈ C ∞, the so-called “blue-sky catastrophe” is observed, i.e., there appears a stable relaxation cycle
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9824bc2307c9b00553aa36830d255a87
https://doi.org/10.1007/s11253-008-0042-7
https://doi.org/10.1007/s11253-008-0042-7
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 259:101-127
We carry out a detailed analysis of the existence, asymptotics, and stability problems for periodic solutions that bifurcate from the zero equilibrium state in systems with large delay. The account is based on a specific meaningful example given by a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1f5048745377f088d366a247986cfa3f
https://doi.org/10.1134/s0081543807040086
https://doi.org/10.1134/s0081543807040086
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 256:206-222
The well-known sine-Gordon equation, supplemented with small damping and small quasiperiodic external force, is studied under the zero Dirichlet boundary conditions at the endpoints of a finite interval. The main assumption is that all frequencies of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce891518fef893a9ef79c3313b5fce85
https://doi.org/10.1134/s0081543807010117
https://doi.org/10.1134/s0081543807010117
Publikováno v:
Nonlinear Oscillations. 10:88-105
We propose a general idea of obtaining different chains of coupled oscillators with chaotic buffering. As examples, we consider chains of diffusively coupled generalized cubic Schrodinger equations and nonlinear telegraph equations. We also give exam
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7206db707f0376280e34c15a71825abb
https://doi.org/10.1007/s11072-007-0008-y
https://doi.org/10.1007/s11072-007-0008-y
Autor:
A. A. Gonchar, S. V. Emel’yanov, V. A. Il’in, V. V. Kozlov, S. K. Korovin, N. N. Krasovskii, A. B. Kurzhanskii, E. F. Mishchenko, E. I. Moiseev, V. A. Sadovnichii, L. D. Faddeev, A. V. Kryazhimskii, I. V. Gaishun, N. A. Izobov, N. L. Grigorenko, V. I. Maksimov, M. S. Nikol’skii
Publikováno v:
Differential Equations. 42:925-931
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a2b5aed6fe64f6859c4b321012f6a953
https://doi.org/10.1134/s0012266106070019
https://doi.org/10.1134/s0012266106070019
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 253:S117-S150
Plane Hamiltonian systems perturbed by small time-periodic terms are considered. The conditions are established under which exponentially stable periodic solutions are accumulated infinitely in these systems as the perturbations tend to zero or, in o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4086bd85343c584ecb97590a594ab9f5
https://doi.org/10.1134/s0081543806050105
https://doi.org/10.1134/s0081543806050105