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Nonlinear Dynamics

, Volume 92, Issue 3, pp 1185–1195 | Cite as

Inducing amplitude death via discontinuous coupling

  • Zhongkui Sun
  • Nannan Zhao
  • Xiaoli Yang
  • Wei Xu
Original Paper
First Online:
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Accepted:

Abstract

To explore the conditions ensuring amplitude death is always a topic of research for understanding the nature of real systems. However, the previous studies mainly focus on the coupling, that is, continuous or time-invariant. Here we would bring the discontinuous (on–off) coupling to the coupled nonidentical Stuart–Landau oscillators and Rössler oscillators, respectively. We show that the domains of amplitude death can be effectively enlarged along two directions of coupling strength and parameter mismatch. Specifically, the range of coupling strength is extended infinitely for the appropriate on–off rate and on–off period although it usually is considered to be bounded to induce the amplitude death for continuous coupling. Moreover, our findings are of great importance and have many potential applications for the research of neuroscience and biology where the interaction between the neurons or cells is usually intermittent or discontinuous.

Keywords

Coupled oscillators Parameter mismatch Amplitude death Discontinuous coupling 
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Notes

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 11272258) and the Seed and Foundation of Innovation and Creation for Graduate Students in Northwestern Polytechnical University (Grant No. Z2017188).

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© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  • Zhongkui Sun
    • 1
  • Nannan Zhao
    • 1
  • Xiaoli Yang
    • 2
  • Wei Xu
    • 1
  1. 1.Department of Applied MathematicsNorthwestern Polytechnical UniversityXi’anPeople’s Republic of China
  2. 2.College of Mathematics and Information ScienceShaan’xi Normal UniversityXi’anPeople’s Republic of China

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