Chaos control in the cerium-catalyzed Belousov–Zhabotinsky reaction using recurrence quantification analysis measures. (July 2015)

• Record Type: Journal Article
• Authors: Fatoorehchi, Hooman; Zarghami, Reza; Abolghasemi, Hossein; Rach, Randolph
• Is Part Of: Chaos, solitons and fractals. Volume 76(2015)
• Page Start: 121
• Page End: 129
• Publication Date: 2015-07
• Subjects: Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2015.03.019
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: Theoretical and experimental chaos control for the Belousov–Zhabotinsky-CSTR system. Application of recurrence analysis quantification for chaos control by feedback loops. Optimization of determinism and recurrence rate as RQA-based measures. Accurate solution of the Montanator model by the multi-stage Adomian decomposition method. Abstract: Chaos control in the Belousov–Zhabotinsky-CSTR system was investigated theoretically and experimentally by reconstructing the phase space of the cerium (IV) ions concentration time series and then optimizing recurrence quantification analysis measures. The devised feedback loop acting on the reactor inlet flow rate was able to experimentally suppress chaos and drive the system to an almost predictable state with approximately 93% determinism. Similar theoretical results have also been demonstrated in numerical simulations using the four-variable Montanator model as solved by the multistage Adomian decomposition method.