Zobrazeno 1 - 10
of 17
pro vyhledávání: '"I. M. Burkin"'
Autor:
I. M. Burkin, O. I. Kuznetsova
Publikováno v:
Journal of Mathematical Sciences. 262:779-789
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::359b7c8db726a7615bc6e059e12f8eea
https://doi.org/10.1007/s10958-022-05856-2
https://doi.org/10.1007/s10958-022-05856-2
Autor:
I. M. Burkin, O. I. Kuznetsova
Publikováno v:
Vestnik St. Petersburg University, Mathematics. 52:342-348
Chaotic signals and systems are widely used in image encryption, secure communications, weak signal detection, and radar systems. Many researchers have focused in recent years on the development of systems with an infinite number of coexisting chaoti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6bea57e710920c68ef628753888ac3cc
https://doi.org/10.1134/s1063454119040034
https://doi.org/10.1134/s1063454119040034
Autor:
Nguen Ngok Khien, I. M. Burkin
Publikováno v:
Differential Equations. 50:1695-1717
In nonlinear dynamical systems, attractors can be regarded as self-excited and hidden attractors. Self-excited attractors can be localized numerically by a standard computational procedure, in which after a transient process a trajectory starting fro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78838df33d5323748af004820f099bca
https://doi.org/10.1134/s0012266114130023
https://doi.org/10.1134/s0012266114130023
Autor:
O. I. Kuznetsova, I. M. Burkin
Publikováno v:
Journal of Physics: Conference Series. 1368:042050
A multistable dynamic system can demonstrate solutions with fundamentally different behavior depending on the choice of their initial conditions, which poses a threat to its use in practical engineering applications. On the other hand, the system’s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c801d1c152cc78af31c95b1741dad1e6
https://doi.org/10.1088/1742-6596/1368/4/042050
https://doi.org/10.1088/1742-6596/1368/4/042050
Autor:
D. V. Soboleva, I. M. Burkin
Publikováno v:
Differential Equations. 47:1-9
We derive conditions under which a linear coupling between two globally stable nonlinear nth-order systems results in a system of order 2n whose almost every solution asymptotically approaches an orbitally stable cycle. These results permit one to so
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::13cc4c26335cbc437ebe85516bc50967
https://doi.org/10.1134/s0012266111010010
https://doi.org/10.1134/s0012266111010010
Autor:
I. M. Burkin
Publikováno v:
Differential Equations. 38:615-625
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f6fa2385f6ccb0100dab346e06e6c04
https://doi.org/10.1023/a:1020250305868
https://doi.org/10.1023/a:1020250305868
Publikováno v:
Frequency Methods in Oscillation Theory ISBN: 9789401065702
As we have already noted in §1.1, by a multidimensional analogue of the van der Pol equation we mean a dynamical system with a minimal global attractor, containing a cycle and a unique Lyapunov unstable state of equilibrium. Various concrete three
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab2601080c63d07ced6f26bd56df4ad4
https://doi.org/10.1007/978-94-009-0193-3_3
https://doi.org/10.1007/978-94-009-0193-3_3
Publikováno v:
Frequency Methods in Oscillation Theory ISBN: 9789401065702
All the results given in this chapter are in one way or another with a conjecture of M. A. Aizerman. Let us recall its essence. To begin with, we consider along with the linear system $$\mathop x\limits^ \cdot = y,\,\,\,\,\,\,\,\,\mathop y\limits^ \c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5cbdee72c222c68634c483ea2b8f0f1a
https://doi.org/10.1007/978-94-009-0193-3_7
https://doi.org/10.1007/978-94-009-0193-3_7
Publikováno v:
Frequency Methods in Oscillation Theory ISBN: 9789401065702
The physical realizability of a cycle depends on its stability. Therefore the theory of local stability of closed trajectories [109, 259, 277, 301] operating in terms of multiplicators of equations in variations was formulated long ago. At the begini
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::025690e386e76d38ad797a068181399f
https://doi.org/10.1007/978-94-009-0193-3_8
https://doi.org/10.1007/978-94-009-0193-3_8