Chaos synchronization in a BEC system using fuzzy logic controller

TL;DR

This paper proposes a fuzzy logic controller based on Lyapunov stability to synchronize chaotic Bose-Einstein condensate systems, enhancing stability and control of chaos in BECs.

Contribution

It introduces a novel fuzzy logic control method using Lyapunov stability for chaos synchronization in BEC systems, differing from traditional expert knowledge-based approaches.

Findings

The fuzzy logic controller successfully synchronizes chaotic BEC systems.

Numerical simulations confirm the controller's effectiveness.

The method improves chaos control in BEC applications.

Abstract

Since the presence of chaos in Bose-Einstein condensate (BEC) systems plays a destructive role that can undermine the stability of the condensates, controlling the chaos is of great importance for the creation of the BEC. In this paper, a fuzzy logic controller (FLC) to synchronize the chaotic dynamics of two identical master-slave BEC systems has been proposed. Unlike the conventional approaches, where expert knowledge is directly used to construct the fuzzy rules and membership functions, the fuzzy rules have been constructed using Lyapunov stability theorem ensuring the synchronization process. The effectiveness of the proposed controller has been demonstrated numerically.