Chaos synchronization in a BEC system using fuzzy logic controller


Tosyali E., Oniz Y., Aydogmus F.

CONDENSED MATTER PHYSICS, vol.25, no.3, 2022 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 3
  • Publication Date: 2022
  • Doi Number: 10.5488/cmp.25.33501
  • Journal Name: CONDENSED MATTER PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, Directory of Open Access Journals
  • Keywords: fuzzy logic controller, synchronization, chaos, Bose-Einstein condensate, BOSE-EINSTEIN CONDENSATION, GAS
  • Istanbul University Affiliated: Yes

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.