Observability of lag synchronization of coupled chaotic oscillators

Abstract

Lag synchronization is a recently discovered theoretical phenomenon where the dynamical variables of two coupled, nonidentical chaotic oscillators are synchronized with a time delay relative to each other. We investigate experimentally and numerically to what extent lag synchronization can be observed in physical systems where noise is inevitable. Our measurements and numerical computation suggest that lag synchronization is typically destroyed when the noise level is comparable to the amount of average system mismatch. At small noise levels, lag synchronization occurs in an intermittent fashion.

Time scale synchronization of chaotic oscillators

“…When the coupling between oscillator increases the time lag τ decreases and the synchronization regime tends to be CS one [19][20][21].…”

Synchronized states in chaotic systems coupled indirectly through a dynamic environment

“…In such cases, depending on the strength and nature of coupling, the systems are capable of entering into different states of synchronization such as in-phase [2,3], antiphase [4], lag [5,6], anticipatory [7], generalized [8][9][10], complete [11,12] and antisynchronization [13][14][15]. Although all these different synchronization phenomena have been explored in biological systems also, the case of phase synchronization is more useful in explaining many complex dynamical behavior in them.…”

Intermittent generalized synchronization in unidirectionally coupled chaotic oscillators

“…Recently several types of chaotic synchronization have been observed in coupled nonlinear oscillators. These are phase synchronization (PS) [3][4][5], lag synchronization (LS) [6][7][8], complete synchronization (CS) [9][10][11][12] and generalized synchronization (GS) [13][14][15]. It is important to note that GS may also takes place in the non-oscillatory chaotic systems (see [16] for detail).…”