25 citations · 44 across the 8 of their papers we have counts for
8 papers
The birth of the global stability theory and the theory of hidden oscillations
N. V. Kuznetsov, M. Y. Lobachev, M. V. Yuldashev +5
The first mathematical problems of the global analysis of dynamical models can be traced back to the engineering problem of the Watt governor design. Engineering requirements and c…
A lower-bound estimate of the Lyapunov dimension for the global attractor of the Lorenz system
N. V. Kuznetsov, T. N. Mokaev, R. N. Mokaev +2
In this short report, for the classical Lorenz attractor we demonstrate the applications of the Pyragas time-delayed feedback control technique and Leonov analytical method for the…
Charge pump phase-locked loop with phase-frequency detector: closed form mathematical model
Nikolay Kuznetsov, Marat Yuldashev, Renat Yuldashev +4
Charge pump phase-locked loop with phase-frequency detector (CP-PLL) is an electrical circuit, widely used in digital systems for frequency synthesis and synchronization of the clo…
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.
Hidden attractors in aircraft control systems with saturated inputs
B. R. Andrievsky, E. V. Kudryashova, N. V. Kuznetsov +2
In the paper, the control problem with limitations on the magnitude and rate of the control action in aircraft control systems, is studied. Existence of hidden oscillations in the…
Nonlinear analysis of PLL by the harmonic balance method
E. V. Kudryashova, N. V. Kuznetsov, G. A. Leonov +2
In this paper we discuss the application of the harmonic balance method for the global analysis of the classical phase-locked loop (PLL) circuit. The harmonic balance is non rigoro…