140 citations · 394 across the 23 of their papers we have counts for
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An improved approach for estimating the dimension of inertial manifolds in chaotic distributed dynamical systems via analysis of angles between tangent subspaces
Pavel V. Kuptsov
While a previously proposed method for estimating inertial manifold dimension, based on explicitly computing angles between pairs of covariant Lyapunov vectors (CLVs), employs effi…
Analysis of three non-identical Josephson junctions by the method of Lyapunov exponents charts
Alexander P. Kuznetsov, Igor R. Sataev, Pavel V. Kuptsov +1
A system of three non-identical Josephson junctions connected via an RLC circuit is considered. The method of Lyapunov exponents charts is used, which makes it possible to identify…
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…
Numerical test for hyperbolicity in chaotic systems with multiple time delays
Pavel V. Kuptsov, Sergey P. Kuznetsov
We develop an extension of the fast method of angles for hyperbolicity verification in chaotic systems with an arbitrary number of time-delay feedback loops. The adopted method is…
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…
Numerical test for hyperbolicity of chaotic dynamics in time-delay systems
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 bet…