Study on nonlinear characteristics of two synchronizing uncoupled Hindmarsh-Rose neurons

Ying Wu, Jian Xue Xu, Daihai He, Wu Yin Jin

Research output: Journal article publicationJournal articleAcademic researchpeer-review

22 Citations (Scopus)


Modulating the current input of two uncoupled Hindmarsh-Rose neurons by using the membrane potential of Hindmarsh-Rose neuron under different initial conditions, the evolution mechanism of synchronization process of the two neurons is revealed by analyzing interspike interval sequences. When periodic stimulation is used, the full synchronization is realized in two identical neurons, and the synchronized response of modulated neurons can be different from the stimulation signal; and phase synchronization can be obtained in two neurons with different parameters: two neurons with small parameter mismatch can be synchronized to the periodic response different from the stimulation signal, and two neurons with big parameter mismatch can only be synchronized to the response in phase synchronization with stimulation signal. When chaotic stimulation is used, two systems can only be synchronized to the response being in phase synchronization with stimulation signal. Obviously, chaotic stimulation is more helpful in encoding and decoding information. Analyzing the relation between the largest condition Lyapunov exponents and the stimulation strength shows that when the largest condition Lyapunov exponents of the two systems are both negative is the necessary condition for synchronization. The chaotic stimulation signal can more easily synchronize two neurons than periodic stimulation signal, implying that the effect of chaotic stimulation is stronger than periodic one, and the experiments also confirm this conclusion.
Original languageEnglish
Pages (from-to)3457-3464
Number of pages8
JournalWuli Xuebao/Acta Physica Sinica
Issue number7
Publication statusPublished - 1 Jul 2005
Externally publishedYes


  • Condition Lyapunov exponent
  • Interspike interval
  • Phase synchronization
  • Synchronization

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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