Title: Chaos synchronization in a BEC system using fuzzy logic controller
Author(s):

	E. Tosyali (Opticianry, Vocational School of Health Services, Istanbul Bilgi University, Kustepe, Sisli, Istanbul, 34387, Turkey),
	Y. Oniz (Faculty of Engineering and Natural Sciences, Department of Mechatronics Engineering, Istanbul Bilgi University, Eyup, Istanbul, 34060, Turkey),
	F. Aydogmus (Faculty of Science, Physics, Istanbul University, Vezneciler, Istanbul, 34134, Turkey)

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.

Key words: fuzzy logic controller, synchronization, chaos, Bose-Einstein condensate

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