English

Chaos synchronization in a BEC system using fuzzy logic controller

Quantum Gases 2022-10-04 v1

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.

Cite

@article{arxiv.2210.00970,
  title  = {Chaos synchronization in a BEC system using fuzzy logic controller},
  author = {E. Tosyali and Y. Oniz and F. Aydogmus},
  journal= {arXiv preprint arXiv:2210.00970},
  year   = {2022}
}

Comments

12 pages, 8 figures, 1 table

R2 v1 2026-06-28T02:37:01.177Z