Control of Complex Dynamics with Time-Delayed Feedback in Populations of Chemical Oscillators: Desynchronization and Clustering

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• 作者：Yumei Zhai ; Istvá ; n Z. Kiss ; John L. Hudson
• 刊名：Industrial & Engineering Chemistry Research
• 出版年：2008
• 出版时间：May 21, 2008
• 年：2008
• 卷：47
• 期：10
• 页码：3502 - 3514
• 全文大小：1018K
• 年卷期：v.47,no.10(May 21, 2008)
• ISSN：1520-5045

文摘

Control of collective dynamics with global time-delayed feedback was experimentally studied with (phase)synchronized populations of smooth, relaxational, and chaotic electrochemical oscillators. The experimentalresults provide laboratory evidence for the findings in the studies of delayed feedback on phase oscillators;multiple, isolated regions of desynchronization in the parameter plane, hysteresis phenomenon around theboundaries of control regions, synchronization of irregular behavior with very strong feedback strength, anda shift of the synchronization transition curves were reproduced in experiments. In addition, it is observedthat clustering accompanies the occurrence of desynchronization in delayed feedback of relaxational oscillators.For populations of elements that are close to Hopf bifurcation, desynchronization, amplitude death, and enhancedsynchronization occurs with a low, intermediate, and high delay time, respectively.