Autoparametric vibrations of a nonlinear system with pendulum.
Bifurcations de points fixes elliptiques - III. Orbites périodiques de «petites» périodes et élimination résonnante des couples de courbes invariantes
Drive network to a desired orbit by pinning control
The primary objective of the present paper is to develop an approach for analyzing pinning synchronization stability in a complex delayed dynamical network with directed coupling. Some simple yet generic criteria for pinning such coupled network are derived analytically. Compared with some existing works, the primary contribution is that the synchronization manifold could be chosen as a weighted average of all the nodes states in the network for the sake of practical control tactics, which displays...
Escape time from potential wells of strongly nonlinear oscillators with slowly varying parameters.
General solution of overdamped Josephson junction equation in the case of phase-lock.
Group synchronization of diffusively coupled harmonic oscillators
This paper considers group synchronization issue of diffusively directed coupled harmonic oscillators for two cases with nonidentical and identical agent dynamics. For the case of coupled nonidentical harmonic oscillators with positive coupling, it is demonstrated that distributed group synchronization can always be achieved under two kinds of network structures, i. e., the strongly connected graph and the acyclic partition topology with a directed spanning tree. It is interesting to find that the...
Impulsive practical synchronization of n-dimensional nonautonomous systems with parameter mismatch
This paper is concerned with impulsive practical synchronization in a class of n-dimensional nonautonomous dynamical systems with parameter mismatch. Some simple yet general algebraic synchronization criteria are derived based on the developed practical stability theory on impulsive dynamical systems. A distinctive feature of this work is that the impulsive control strategy is used to make n-dimensional nonautonomous dynamical systems with parameter mismatch achieve practical synchronization, where...
Nonlinear Torsional Vibration of Shaft with two Disks
Note to the Lagrange stability of excited pendulum type equations
On the dynamics of a nonlinear multidimensional oscillator with memory.
Oscillations presque-périodiques forcées d'équations d'Euler-Lagrange
Periodic points and chaotic-like dynamics of planar maps associated to nonlinear Hill's equations with indefinite weight.
Resonance surfaces for forced oscillators.
Seventy-five years of global analysis around the forced pendulum equation
Synchronization with error bound of non-identical forced oscillators
Synchronization with error bound of two non-identical forced oscillators is studied in the paper. By introducing two auxiliary autonomous systems, differential inequality technique and active control technique are used to deal with the synchronization of two non-identical forced oscillators with parameter mismatch in external harmonic excitations. Numerical simulations show the effectiveness of the proposed method.
Об одной обратной задаче для уравнения Хилла. Численные эксперименты