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Nonlinear Dynamics

, Volume 73, Issue 3, pp 1253–1269 | Cite as

Synchronization and chaos control by quorum sensing mechanism

  • Liuxiao GuoEmail author
  • Manfeng Hu
  • Zhenyuan Xu
  • Aihua Hu
Original Paper

Abstract

Diverse rhythms are generated by thousands of oscillators that somehow manage to operate synchronously. By using mathematical and computational modeling, we consider the synchronization and chaos control among chaotic oscillators coupled indirectly but through a quorum sensing mechanism. Some sufficient criteria for synchronization under quorum sensing are given based on traditional Lyapunov function method. The Melnikov function method is used to theoretically explain how to suppress chaotic Lorenz systems to different types of periodic oscillators in quorum sensing mechanics. Numerical studies for classical Lorenz and Rössler systems illustrate the theoretical results.

Keywords

Synchronization Quorum sensing Chaotic oscillators Collective behavior 

Notes

Acknowledgements

The paper is supported by the National Science Foundation of PR China under Grants No 11002061, 11202084, 10901073 and “the Fundamental Research Funds for the Central Universities”.

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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  • Liuxiao Guo
    • 1
    Email author
  • Manfeng Hu
    • 1
  • Zhenyuan Xu
    • 1
  • Aihua Hu
    • 1
  1. 1.School of ScienceJiangnan UniversityWuxiChina

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