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Bifurcations and chaos of the Bonhoeffer-van der Pol model

journal contribution
posted on 2023-06-07, 21:49 authored by William WangWilliam Wang
Periodic and chaotic behaviour of the Bonhoeffer-van der Pol model of a nerve membrane driven by a periodic stimulating current a1 cos omega t is investigated. Results show that there exist ordinary and reversed period-doubling cascades and a mode-locking state. At low driving amplitudes a1, there are period-doubling and chaotic states, but no impulse solutions. When a1 is larger than a0=0.749, there are chaotic, reversed period-doubling, and mode-locking states and there also exist impulse trains. A mode-locking state with period 4 over a very large range of amplitudes is also found. At a1=1.7059 the system goes back to a one-period state.

History

Publication status

  • Published

Journal

Journal of Physics A: Mathematical and General

ISSN

0305-4470

Publisher

Institute of Physics

Issue

13

Volume

22

Page range

L627

Department affiliated with

  • Engineering and Design Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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