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pro vyhledávání: '"Pavel V. Kuptsov"'
Autor:
Pavel V. Kuptsov
Publikováno v:
Regular and Chaotic Dynamics. 27:697-712
Publikováno v:
Nelineinaya Dinamika. 17:5-21
We suggest a universal map capable to recover a behavior of a wide range of dynamical systems given by ODEs. The map is built as an artificial neural network whose weights encode a modeled system. We assume that ODEs are known and prepare training da
Autor:
Sergey P. Kuznetsov, Pavel V. Kuptsov
Publikováno v:
Regular and Chaotic Dynamics. 23:908-932
In this paper we analyze local structure of several chaotic attractors recently suggested in literature as pseudohyperbolic. The absence of tangencies and thus the presence of the pseudohyperbolicity is verified using the method of angles that includ
Publikováno v:
Regular and Chaotic Dynamics. 22:551-565
A generalized model with bifurcations associated with blue sky catastrophes is introduced. Depending on an integer index m, different kinds of attractors arise, including those associated with quasi-periodic oscillations and with hyperbolic chaos. Ve
Autor:
Pavel V. Kuptsov, Anna V. Kuptsova
Dimension of an inertial manifold for a chaotic attractor of spatially distributed system is estimated using autoencoder neural network. The inertial manifold is a low dimensional manifold where the chaotic attractor is embedded. The autoencoder maps
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c8280a45d5c853cdae858c867b36bba8
http://arxiv.org/abs/1811.11851
http://arxiv.org/abs/1811.11851
Autor:
Anna V. Kuptsova, Pavel V. Kuptsov
Publikováno v:
Saratov Fall Meeting 2017: Laser Physics and Photonics XVIII; and Computational Biophysics and Analysis of Biomedical Data IV.
Autor:
Yaroslav V. Turkin, Pavel V. Kuptsov
Publikováno v:
Saratov Fall Meeting 2017: Laser Physics and Photonics XVIII; and Computational Biophysics and Analysis of Biomedical Data IV.
A quantum model of spin dynamics of spin-orbit coupled two-dimensional electron gas in the presence of strong high- frequency electromagnetic field is suggested. Interaction of electrons with optical phonons is taken into account in the second order
Radial and circular synchronization clusters in extended starlike network of van der Pol oscillators
Autor:
Pavel V. Kuptsov, Anna V. Kuptsova
We consider extended starlike networks where the hub node is coupled with several chains of nodes representing star rays. Assuming that nodes of the network are occupied by nonidentical self-oscillators we study various forms of their cluster synchro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e29b223e009b3b7a40fd588cbac790b9
Autor:
Anna V. Kuptsova, Pavel V. Kuptsov
Publikováno v:
Saratov Fall Meeting 2015: Third International Symposium on Optics and Biophotonics and Seventh Finnish-Russian Photonics and Laser Symposium (PALS).
A generalized model of starlike network is suggested that takes into account non-additive coupling and nonlinear transformation of coupling variables. For this model a method of analysis of synchronized cluster stability is developed. Using this meth
Autor:
Pavel V. Kuptsov, Sergey P. Kuznetsov
We develop a numerical test of hyperbolicity of chaotic dynamics in time-delay systems. The test is based on the angle criterion and includes computation of angle distributions between expanding, contracting and neutral manifolds of trajectories on t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a7b2d7f5acaf6f753b5b58aa25b4b04