Biological Cybernetics

, Volume 71, Issue 2, pp 153–160 | Cite as

In-phase and antiphase self-oscillations in a model of two electrically coupled pacemakers

  • G. S. Cymbalyuk
  • E. V. Nikolaev
  • R. M. Borisyuk


The dynamic behavior of a model of two electrically coupled oscillatory neurons was studied while the external polarizing current was varied. It was found that the system with weak coupling can demonstrate one of five stable oscillatory modes: (1) in-phase oscillations with zero phase shift; (2) antiphase oscillations with halfperiod phase shift; (3) oscillations with any fixed phase shift depending on the value of the external polarizing current; (4) both in-phase and antiphase oscillations for the same current value, where the oscillation type depends on the initial conditions; (5) both in-phase and quasiperiodic oscillations for the same current value. All of these modes were robust, and they persisted despite small variations of the oscillator parameters. We assume that similar regimes, for example antiphase oscillations, can be detected in neurophysiological experiments. Possible applications to central pattern generator models are discussed.


Phase Shift Dynamic Behavior Small Variation Weak Coupling Oscillatory Mode 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • G. S. Cymbalyuk
    • 1
  • E. V. Nikolaev
    • 1
  • R. M. Borisyuk
    • 1
  1. 1.Institute of Mathematical Problems of Biology, Russian Academy of SciencesPushchinoRussian Federation

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