Synchronization in a ring of mutually coupled electromechanical devices

Abstract

We study the synchronization in a ring of mutually coupled electromechanical devices. Each device consists of an electrical Duffing oscillator coupled magnetically with a linear mechanical oscillator. By varying the coupling coefficient, we find the ranges for cluster and complete synchronization, either in the regular state or in the chaotic one. Effects of this coupling parameter show various types of bifurcation sequences.

Infinite-time and finite-time synchronization of coupled harmonic oscillators

“…In the last decade, there has been significant research interest in synchronization of coupled oscillators and many profound synchronization criteria have been obtained for a number of systems of coupled oscillators (see [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] and references therein). One typical example in the study of the synchronization of coupled oscillators is the classical Kuramoto model, which assumes full connectivity of the network [10].…”

Synchrony in Human-Bonobo Dialog

“…The null hypothesis here is that the linguistic alignment behavior exhibited in the dialog and its context of interactions is nonpurposive, not significantly different from random alignment. Note that purely mechanical systems, like a functioning system of dynamos operating in context, will fall into alignment without purposive intervention [22]. Further, not all instances of human behavioral alignment are about interaction: spectators at a tennis match will tend to align head movements with the motion of the ball in play rather than with each other, yet the outward spectacle is consistent with purposive alignment.…”

Dynamics of a ring of three unidirectionally coupled Duffing oscillators with time-dependent damping

“…For example, in the case of time-dependent damping, the system can be viewed as an undamped oscillator but with a variable mass and therefore the corresponding potential can be found [25,26]. In addition, analytical studies of transitions which occur between three possible dynamical states (cluster synchronization, complete synchronization, and instability) were performed in a ring of N diffusely coupled Duffing oscillators [27,28].…”