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http://hdl.handle.net/1942/16392
Title: | Mixed mode oscillations in the Bonhoeffer-van der Pol oscillator with weak periodic perturbation | Authors: | KUTAFINA, Ekaterina | Issue Date: | 2015 | Source: | Computational and Applied Mathematics, 34 (1), p. 81-92 | Abstract: | 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 four-dimensional (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. | Keywords: | folded saddle-node; three time scale system; mixed mode oscillation; singular perturbation; canard | Document URI: | http://hdl.handle.net/1942/16392 | Link to publication/dataset: | http://download.springer.com/static/pdf/280/art%253A10.1007%252Fs40314-013-0105-8.pdf?auth66=1394008700_aa696697624fe8277718d1c2b7a669cb&ext=.pdf | ISSN: | 0377-0427 | e-ISSN: | 1879-1778 | DOI: | 10.1007/s40314-013-0105-8 | ISI #: | 000351873600006 | Rights: | © The Author(s) 2013. This article is published with open access at Springerlink.com. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2016 |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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BvdP.pdf | 1.14 MB | Adobe PDF | View/Open | |
kutafina 1.pdf Restricted Access | Published version | 1.12 MB | Adobe PDF | View/Open Request a copy |
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