Master-slave synchronization of Bose-Einstein condensate in 1D tilted bichromatical optical lattice

Abstract

This paper investigates the synchronization of chaotic behavior in a model of Bose-Einstein condensate (BEC) held in a 1D tilted bichromatical optical lattice potential by using the active control technique. The synchronization is presented in the master-slave configuration which implies that the master system evolves freely and drives the dynamics of the slave system. Also the numerical simulations are given to indicate the practicability and the effectiveness of the used controllers.

Chaos synchronization in a BEC system using fuzzy logic controller

“…It is of great importance to study how to control the chaos of a BEC system in an optical lattice which exhibits many rich and complex phenomena typical of nonlinear systems [9][10][11][12][13]. An important approach to consider is the synchronization problem from a control theory perspective.…”

Synchronization of Gursey System

“…After the Pecora-Caroll studies, identical chaotic systems' synchronization problems get much popular in this field. Especially, active control method is used to synchronize chaotic flows and maps such as Lorenz, Duffing, Gross-Pitaevskii Equation (Bose-Einstein Condensate) and HIV-AIDS dynamical system [11][12][13][14][15][16][17][18]. In this paper, master-slave synchronization based on open-plus-closed-loop (OPCL) method is used to synchronize chaotic dynamic of Gursey wave equation.…”