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Effects of spatial frequency distributions on amplitude death in an array of coupled Landau-Stuart oscillators

Ye Wu1,3, Weiqing Liu2,*, Jinghua Xiao1,3, Wei Zou4,5,6, and Jürgen Kurths5,6,7

  • 1State Key Lab of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China
  • 2School of Science, Jiangxi University of Science and Technology, Ganzhou 341000, People's Republic of China
  • 3School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, People's Republic of China
  • 4School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China
  • 5Institute of Physics, Humboldt University Berlin, Berlin D-12489, Germany
  • 6Potsdam Institute for Climate Impact Research, Telegraphenberg, Potsdam D-14415, Germany
  • 7Institute for Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen AB24 3FX, United Kingdom

  • *wqliujx@gmail.com
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Phys. Rev. E 85, 056211 – Published 23 May, 2012

DOI: https://doi.org/10.1103/PhysRevE.85.056211

Abstract

The influences of spatial frequency distributions on complete amplitude death are explored by studying an array of diffusively coupled oscillators. We found that with all possible sets of spatial frequency distributions, the two critical coupling strengths εc1 (lower-bounded value) and εc2 (upper-bounded value) needed to get complete amplitude death exhibit a universal power law and a log-normal distribution respectively, which has long tails in both cases. This is significant for dynamics control, since large variations of εc1 and εc2 are possible for some spatial arrangements. Moreover, we explore optimal spatial distributions with the smallest (largest) εc1 or εc2.

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Phys. Rev. E 85, 056211– Published 23 May, 2012
  • Received 31 January 2012

©2012 American Physical Society

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