Chaos synchronization in a BEC system using fuzzy logic controller
arXiv:2210.00970 · doi:10.5488/CMP.25.33501
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.
arXiv comment12 pages, 8 figures, 1 table
References in corpus (5)
- A Bose-Einstein condensate in an optical lattice
- Observation of dynamical instability for a Bose-Einstein condensate in a moving 1D optical lattice
- Interaction-induced decoherence of atomic Bloch oscillations
- Chaotic shock waves of a Bose-Einstein condensate
- Master-slave synchronization of Bose-Einstein condensate in 1D tilted bichromatical optical lattice