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Inventi Impact - Computational Mathematics

Articles

  • Inventi:ecm/65/14
    MIXED MODE OSCILLATIONS IN THE BONHOEFFER-VAN DER POL OSCILLATOR WITH WEAK PERIODIC PERTURBATION
    Ekaterina Kutafina

    Following the paper of Shimizu et al. (Phys Lett A 375:1566, 2011), we consider the Bonhoeffer-van der Pol oscillator with non-autonomous periodic perturbation. We show that the presence of mixed mode oscillations reported in that paper can be explained using the geometric singular perturbation theory. The considered model can be re-written as a fourdimensional (locally three-dimensional) autonomous system, which under certain conditions has a folded saddle-node singularity and additionally can be treated as a three time scale one.

    How to Cite this Article
    CC Compliant Citation: Ekaterina Kutafina, Mixed mode oscillations in the Bonhoeffer-van der Pol oscillator with weak periodic perturbation, Comp. Appl. Math, DOI 10.1007/ s40314-013-0105-8. © The Author(s) 2013. This article is published with open access at Springerlink.com. Open Access: This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.
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