Periodic Solution and Strange Attractor in Impulsive Hopfield Networks with Time-Varying Delays

  • Yanxia Cheng
  • Yan Yan
  • Zhanji Gui
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 229)


By constructing suitable Lyapunov functions, we study the existence, uniqueness and global exponential stability of periodic solution for impulsive Hopfield neural networks with time-varying delays. Our condition extends and generalizes a known condition for the global exponential periodicity of continuous Hopfield neural networks with time-varying delays. Further the numerical simulation shows that our system can occur many forms of complexities including gui strange attractor and periodic solution.


Hopfield neural network Lyapunov functions Pulse  Time-varying delay Periodic solution Strange attractor 


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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.The School of ScienceBeijing Forestry UniversityBeijingPeople’s Republic of China
  2. 2.The School of Mathematics and StatisticsHainan Normal UniversityHaikou People’s Republic of China
  3. 3.Department of Software EngineeringHainan College of Software TechnologyQiongHai People’s Republic of China

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