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Proceedings Paper

Bonhoeffer-van der Pol oscillator under pulse-train forcing
Author(s): Avindam Rabinovitch; R. Thieberger; Menahem Friedman
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Paper Abstract

We analyze the Bonhoeffer-van der Pol equations in a parameter range where no `overt' limit cycle exists, rather the dominating feature in phase space is a focus. Exciting the system by an external pulse, its response depends upon this pulse's size. For small pulses, a quick return to the focus occurs. For large pulses, extending beyond the separatrix, the orbits traverse along a `hidden' structure. This structure initially resembles a temporary limit cycle and then spirals into the focus. The response of the system to single excitations of different sizes at different points of the `hidden' structure is used to understand its response to a train of pulses of different periods. Thus, e.g. the boundaries of the phase-locking regions are easily calculated and the explanation of the appearance of `below threshold' responses for the pulse-train case becomes straightforward.

Paper Details

Date Published: 5 November 1993
PDF: 5 pages
Proc. SPIE 2036, Chaos in Biology and Medicine, (5 November 1993); doi: 10.1117/12.162714
Show Author Affiliations
Avindam Rabinovitch, Ben-Gurion Univ. (Israel)
R. Thieberger, NRCN and Ben-Gurion Univ. (Israel)
Menahem Friedman, NRCN (Israel)

Published in SPIE Proceedings Vol. 2036:
Chaos in Biology and Medicine
William L. Ditto, Editor(s)

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