140 citations · 394 across the 23 of their papers we have counts for
Showing 2018Show all
2 papers · 1 filter
physics.comp-ph2018
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…
nlin.CD2018★ 18 cited
Lyapunov analysis of strange pseudohyperbolic attractors: angles between tangent subspaces, local volume expansion and contraction
Pavel V. Kuptsov, Sergey P. Kuznetsov
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…