Rajasekar, S. ; Lakshmanan, M. (1988) Period-doubling bifurcations, chaos, phase-locking and devil's staircase in a Bonhoeffer-van der Pol oscillator Physica D: Nonlinear Phenomena, 32 (1). pp. 146-152. ISSN 0167-2789
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/016727...
Related URL: http://dx.doi.org/10.1016/0167-2789(88)90091-7
Abstract
The effect of a periodic input current A1 cos t in the Bonhoeffer-van der Pol oscillator along with a bias A0 is investigated numerically. As the parameter A1 is varied in the absence of bias by holding the other parameters at constant values, typical period-doubling bifurcation sequence is found to occur leading to chaotic motion in agreement with the Feigenbaum scenario. When the bias is switched on at the transition to chaos, frequency-locking is observed in the system. The frequency-locked intervals exhibit complete devil's staircase similar to the one observed in Belousov-Zhabotinsky reaction.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 19393 |
| Deposited On: | 22 Nov 2010 12:40 |
| Last Modified: | 08 Jun 2011 07:24 |
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