Chaos synchronization in a BEC system using fuzzy logic controller

Tosyali E., Oniz Y., Aydogmus F.

CONDENSED MATTER PHYSICS, cilt.25, sa.3, 2022 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.5488/cmp.25.33501
  • Dergi Adı: CONDENSED MATTER PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, Directory of Open Access Journals
  • Anahtar Kelimeler: fuzzy logic controller, synchronization, chaos, Bose-Einstein condensate, BOSE-EINSTEIN CONDENSATION, GAS
  • İstanbul Üniversitesi Adresli: Evet

Özet

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.