387 citations · 1.3k across the 19 of their papers we have counts for
4 papers · 1 filter
Numerical analysis of dynamical systems: unstable periodic orbits, hidden transient chaotic sets, hidden attractors, and finite-time Lyapunov dimension
N. V. Kuznetsov, T. N. Mokaev
In this article, on the example of the known low-order dynamical models, namely Lorenz, Rossler and Vallis systems, the difficulties of reliable numerical analysis of chaotic dynam…
Comment on "Analysis of a Charge-Pump PLL: A New Model" by M. van Paemel
N. V. Kuznetsov, M. V. Yuldashev, R. V. Yuldashev +4
In this short communication we comment on the non-linear mathematical model of CP-PLL introduced by V.Paemel. We reveal and obviate shortcomings in the model.
A note on finite-time Lyapunov dimension of the Rossler attractor
N. V. Kuznetsov, T. N. Mokaev
For the Rössler system we verify Eden's conjecture on the maximum of local Lyapunov dimension. We compute numerically finite-time local Lyapunov dimensions on the Rössler attractor…
Homoclinic Bifurcations of the Merging Strange Attractors in the Lorenz-like System
G. A. Leonov, R. N. Mokaev, N. V. Kuznetsov +1
In this article we construct the parameter region where the existence of a homoclinic orbit to a zero equilibrium state of saddle type in the Lorenz-like system will be analyticall…