Effect of noise on the synchronization of bidirectionally coupled time-delayed systems

Yongzheng Sun, Qingxin Meng*, Maoxing Liu, Xuming Sun

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference proceeding contribution

Abstract

Effect of noise on synchronization of bidirectionally coupled Ikeda systems is investigated. Sufficient conditions for the complete synchronization are rigorously established by means of the so-called LaSalle-type invariance principle for stochastic differential equations. Numerical simulations are provided to illustrate the effectiveness of the theoretical results. The simulation results show that the average error in synchronization exhibits a nonmonotonic behavior with the noise amplitude. Furthermore, the simulation results show that synchronization of identical time-delayed systems subjected to the common noise can be achieved for large enough noise amplitudes.

Original languageEnglish
Title of host publicationProceedings of the 30th Chinese Control Conference, CCC 2011
Place of PublicationPiscataway, NJ
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages1329-1333
Number of pages5
ISBN (Electronic)9789881725592
ISBN (Print)9781457706776
Publication statusPublished - 2011
Event30th Chinese Control Conference, CCC 2011 - Yantai, China
Duration: 22 Jul 201124 Jul 2011

Other

Other30th Chinese Control Conference, CCC 2011
CountryChina
CityYantai
Period22/07/1124/07/11

Keywords

  • Chaos
  • Noise
  • Synchronization
  • Time-delay

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