387 citations · 832 across the 14 of their papers we have counts for
12 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…
Approximating hidden chaotic attractors via parameter switching
Marius-F. Danca, Nikolay Kuznetsovc, Guanrong Chen
In this paper, the problem of approximating hidden chaotic attractors of a general class of nonlinear systems is investigated. The Parameter Switching (PS) algorithm is utilized, w…
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.
PLL and Costas loop based carrier recovery circuits for 4QAM: non-linear analysis and simulation
N. V. Kuznetsov, J. Ladvanszky, M. V. Yuldashev +1
Design of stable carrier recovery circuits are used in many applications: wireless digital communication, optical communication, microwave devices and other applications. Quadratur…
Graphical structure of attraction basins of hidden attractors: the Rabinovich-Fabrikant system
Marius-F. Danca, Paul Bourke, Nikolay Kuznetsov
For systems with hidden attractors and unstable equilibria, the property that hidden attractors are not connected with unstable equilibria is now accepted as one of their main char…
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…