Entrainment by Chaos

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• 作者：M. U. Akhmet (1)
  M. O. Fen (1)
  
• 关键词：Limit cycle ; Sensitivity ; Period ; doubling cascade ; Hopf bifurcation ; Toroidal attractor ; Chua’s oscillator ; Chaos control ; 34C28
• 刊名：Journal of Nonlinear Science
• 出版年：2014
• 出版时间：June 2014
• 年：2014
• 卷：24
• 期：3
• 页码：411-439
• 全文大小：
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• 作者单位：M. U. Akhmet (1)
  M. O. Fen (1)
  
  1. Department of Mathematics, Middle East Technical University, 06800?, Ankara, Turkey
  
• ISSN：1432-1467

文摘

A new phenomenon, the entrainment of limit cycles by chaos, which results from the appearance of cyclic irregular behavior, is discussed. In this study, sensitivity is considered as the main ingredient of chaos to be captured, and the period-doubling cascade is chosen for extension. Theoretical results are supported by simulations and discussions regarding Chua’s oscillators, entrainment of toroidal attractors by chaos, synchronization, and controlling problems. It is demonstrated that the entrainment cannot be considered as generalized synchronization of chaotic systems.