12 citations · 46 across the 6 of their papers we have counts for
6 papers
Artificial neural network as a universal model of nonlinear dynamical systems
Pavel V. Kuptsov, Anna V. Kuptsova, Nataliya V. Stankevich
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…
Estimating of the inertial manifold dimension for a chaotic attractor of complex Ginzburg-Landau equation using a neural network
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…
Radial and circular synchronization clusters in extended starlike network of van der Pol oscillators
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 noniden…
Cluster synchronization of starlike networks with normalized Laplacian coupling: master stability function approach
Pavel V. Kuptsov, Anna V. Kuptsova
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 an…
Variety of regimes of star-like networks of Henon maps
Pavel V. Kuptsov, Anna V. Kuptsova
In this paper we categorize dynamical regimes demonstrated by star-like networks with chaotic nodes. This analysis is done in view of further studying of chaotic scale-free network…
Predictable nonwandering localization of covariant Lyapunov vectors and cluster synchronization in scale-free networks of chaotic maps
Pavel V. Kuptsov, Anna V. Kuptsova
Covariant Lyapunov vectors for scale-free networks of Henon maps are highly localized. We revealed two mechanisms of the localization related to full and phase cluster synchronizat…