Wang, William (1989) Bifurcations and chaos of the Bonhoeffer-van der Pol model. Journal of Physics A: Mathematical and General, 22 (13). L627. ISSN 0305-4470
Full text not available from this repository.Abstract
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.
Item Type: | Article |
---|---|
Schools and Departments: | School of Engineering and Informatics > Engineering and Design |
Depositing User: | William Wang |
Date Deposited: | 06 Feb 2012 19:02 |
Last Modified: | 02 Jul 2012 11:30 |
URI: | http://sro.sussex.ac.uk/id/eprint/19012 |