The European Physical Journal Special Topics

, Volume 222, Issue 10, pp 2417–2428 | Cite as

Sequential activity and multistability in an ensemble of coupled Van der Pol oscillators

  • Tatiana A. LevanovaEmail author
  • Maxim A. Komarov
  • Grigory V. Osipov
Regular Article Nonlinear Dynamics and Synchronization


In this paper collective dynamics of an ensemble of inhibitory coupled Van der Pol oscillators are studied. It was found that a stable heteroclinic contour and a stable heteroclinic channel between saddle cycles exist. These heteroclinic structures are responsible for the sequential activity of different oscillations. The corresponding bifurcations leading to the appearance of heteroclinic trajectories are analyzed.


Saddle Point European Physical Journal Special Topic Invariant Manifold Stable Manifold Stable Limit Cycle 
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Copyright information

© EDP Sciences and Springer 2013

Authors and Affiliations

  • Tatiana A. Levanova
    • 1
    Email author
  • Maxim A. Komarov
    • 1
  • Grigory V. Osipov
    • 1
  1. 1.Department of Computational Mathematics and CyberneticsNizhny Novgorod State UniversityNizhny NovgorodRussia

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