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Please use this identifier to cite or link to this item: http://hdl.handle.net/10466/6450

Title: Time-delay-induced amplitude death in chaotic map lattices and its avoiding control
Authors: Konishi, Keiji
Kokame, Hideki
Keywords: Amplitude death
Coupled systems
Time delay
Feedback control
Issue Date: 9-Jul-2007
Publisher: Elsevier
Rights: c2007 Elsevier B.V. All rights reserved
Citation: Physics Letters A. 2007, 366(6), p.585-590
Abstract: The present Letter deals with amplitude death in chaotic map lattices coupled with a diffusive delay connection. It is shown that if a fixed point of the individual map satisfies an odd-number property, then amplitude death never occurs at the fixed point for any number of the maps, coupling strength, and delay time. From the viewpoint of engineering applications that utilize oscillatory behavior in coupled oscillators, death would be undesirable. This Letter proposes a feedback controller, which is added to each chaotic map, such that the fixed point of the individual map satisfies the odd-number property. Accordingly, it is guaranteed that death never occurs in the controlled chaotic-map-lattice. It is verified that the proposed controller works well in numerical simulations.
URI: http://hdl.handle.net/10466/6450
DOI: 10.1016/j.physleta.2007.05.014
ISSN: 0375-9601
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