Zobrazeno 1 - 10
of 36
pro vyhledávání: '"V. A. Pliss"'
Autor:
T. E. Zvyagintseva, V. A. Pliss
Publikováno v:
Vestnik St. Petersburg University, Mathematics. 51:237-243
This work deals with a two-dimensional automatic control system containing a single nonlinear hysteretic element in the general form. The conditions sufficient for the existence of at least two limit cycles in the system are presented. To prove the e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::02f04dec91fa21b8910c93b4ab2a07bd
https://doi.org/10.3103/s1063454118030135
https://doi.org/10.3103/s1063454118030135
Publikováno v:
Vestnik St. Petersburg University, Mathematics. 50:235-241
Small periodic (with respect to time) perturbations of an essentially nonlinear differential equation of the second order are studied. It is supposed that the restoring force of the unperturbed equation contains both a conservative and a dissipative
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d1e5ba51ea2589c8821146ad777b7a38
https://doi.org/10.3103/s1063454117030062
https://doi.org/10.3103/s1063454117030062
Autor:
T. E. Zviagintceva, V. A. Pliss
Publikováno v:
Vestnik St. Petersburg University, Mathematics. 50:138-144
The paper discusses a two-dimensional automatic control system that contains a single hysteresis element of the general form. Systems of this type are mathematical models of real control systems and have been considered in many papers on this subject
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::818e9303afc259b0e644db97799f1151
https://doi.org/10.3103/s1063454117020157
https://doi.org/10.3103/s1063454117020157
Publikováno v:
Journal of Differential Equations. 262:3194-3213
The dynamical object which we study is a compact invariant set with a suitable hyperbolic structure. Stability of weakly hyperbolic sets was studied by V. A. Pliss and G. R. Sell (see [1] , [2] ). They assumed that the neutral, unstable and stable li
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a4fea335340edf207878ebcfd6230138
https://doi.org/10.1016/j.jde.2016.11.023
https://doi.org/10.1016/j.jde.2016.11.023
Publikováno v:
Differential Equations. 52:139-148
We study small C1-perturbations of systems of differential equations that have a weakly hyperbolic invariant set. We show that the weakly hyperbolic invariant set is stable even if the Lipschitz condition fails.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::caa32d36dcb9fe9512869975faa8dd0f
https://doi.org/10.1134/s0012266116020014
https://doi.org/10.1134/s0012266116020014
Autor:
Yu. N. Bibikov, V. A. Pliss
Publikováno v:
Vestnik St. Petersburg University: Mathematics. 48:57-60
Periodic perturbations of the oscillator \(\ddot x\)+ x3 + ax\(\dot x\) = 0, a2 < 8, are considered. Smallness of perturbations is governed by the smallness of the neighborhood of the state of equilibrium x = 0 and by a small positive parameter. Cond
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::84c38406bb931bba4bef0dcf1e1f0e37
https://doi.org/10.3103/s106345411502003x
https://doi.org/10.3103/s106345411502003x
Autor:
Yu. N. Bibikov, V. A. Pliss
Publikováno v:
Vestnik St. Petersburg University: Mathematics. 47:141-144
It is proved that the right endpoint of the maximal interval of existence of solutions to the differential equation \(\dot x = x^n + \sum\nolimits_{k = 1}^n {p_k (t)x^{n - k} }\), n > 1 is an integer, is a continuously differentiable function of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a080db254383e6444e4e6e29dfd47bdb
https://doi.org/10.3103/s1063454114040025
https://doi.org/10.3103/s1063454114040025
Autor:
A. B. Kurzhanskii, Yu. S. Osipov, Stanislav V. Emelyanov, Evgenii Frolovich Mishchenko, A. M. Samoilenko, E. K. Makarov, Aram V. Arutyunov, F. P. Vasil’ev, S. A. Mazanik, I. T. Kiguradze, L D Kudryavtsev, V. A. Pliss, A. A. Martynyuk, Sergey K. Korovin, N. Kh. Rozov, T. K. Shemyakina, Yu. N. Bibikov, Victor Antonovich Sadovnichii, E. I. Moiseev, I. V. Gaishun, Vladimir Aleksandrovich Il'in
Publikováno v:
Differential Equations. 46:1-7
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d61b652ff874a0e33d9f71b4a27f539c
https://doi.org/10.1134/s0012266110010015
https://doi.org/10.1134/s0012266110010015