Weak Coupling Causes Non-monotonic Changes and Bifurcations in the Interspike Intervals in the BVP Model with High-Frequency Input and Noise
Summary :
Effects of high-frequency cyclic input and noise on interspike intervals in the coupled Bonhoeffer-van der Pol (BVP) model are studied with computer simulation. When two BVP elements are weakly coupled and cyclic input or noise is added to the first element, the interspike intervals of the second element decrease non-monotonically as the amplitude of the input increases. Further, complicated bifurcations in the interspike intervals are caused by cyclic input in the coupled BVP model in the oscillating state. Effects of the coupling on small rotations due to noise and the interruption of oscillations due to cyclic input, which occur when the equilibrium point is close to the critical point, are also studied. The non-monotonic changes and bifurcations in the interspike intervals are attributed to the phase locking of the coupled elements.
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- IEICE TRANSACTIONS on Fundamentals Vol.E86-A No.4 pp.882-890
- Publication Date
- 2003/04/01
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- PAPER
- Category
- Nonlinear Problems
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Yo HORIKAWA, "Weak Coupling Causes Non-monotonic Changes and Bifurcations in the Interspike Intervals in the BVP Model with High-Frequency Input and Noise" in IEICE TRANSACTIONS on Fundamentals,
vol. E86-A, no. 4, pp. 882-890, April 2003, doi: .
Abstract: Effects of high-frequency cyclic input and noise on interspike intervals in the coupled Bonhoeffer-van der Pol (BVP) model are studied with computer simulation. When two BVP elements are weakly coupled and cyclic input or noise is added to the first element, the interspike intervals of the second element decrease non-monotonically as the amplitude of the input increases. Further, complicated bifurcations in the interspike intervals are caused by cyclic input in the coupled BVP model in the oscillating state. Effects of the coupling on small rotations due to noise and the interruption of oscillations due to cyclic input, which occur when the equilibrium point is close to the critical point, are also studied. The non-monotonic changes and bifurcations in the interspike intervals are attributed to the phase locking of the coupled elements.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e86-a_4_882/_p
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@ARTICLE{e86-a_4_882,
author={Yo HORIKAWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Weak Coupling Causes Non-monotonic Changes and Bifurcations in the Interspike Intervals in the BVP Model with High-Frequency Input and Noise},
year={2003},
volume={E86-A},
number={4},
pages={882-890},
abstract={Effects of high-frequency cyclic input and noise on interspike intervals in the coupled Bonhoeffer-van der Pol (BVP) model are studied with computer simulation. When two BVP elements are weakly coupled and cyclic input or noise is added to the first element, the interspike intervals of the second element decrease non-monotonically as the amplitude of the input increases. Further, complicated bifurcations in the interspike intervals are caused by cyclic input in the coupled BVP model in the oscillating state. Effects of the coupling on small rotations due to noise and the interruption of oscillations due to cyclic input, which occur when the equilibrium point is close to the critical point, are also studied. The non-monotonic changes and bifurcations in the interspike intervals are attributed to the phase locking of the coupled elements.},
keywords={},
doi={},
ISSN={},
month={April},}
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TY - JOUR
TI - Weak Coupling Causes Non-monotonic Changes and Bifurcations in the Interspike Intervals in the BVP Model with High-Frequency Input and Noise
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 882
EP - 890
AU - Yo HORIKAWA
PY - 2003
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E86-A
IS - 4
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - April 2003
AB - Effects of high-frequency cyclic input and noise on interspike intervals in the coupled Bonhoeffer-van der Pol (BVP) model are studied with computer simulation. When two BVP elements are weakly coupled and cyclic input or noise is added to the first element, the interspike intervals of the second element decrease non-monotonically as the amplitude of the input increases. Further, complicated bifurcations in the interspike intervals are caused by cyclic input in the coupled BVP model in the oscillating state. Effects of the coupling on small rotations due to noise and the interruption of oscillations due to cyclic input, which occur when the equilibrium point is close to the critical point, are also studied. The non-monotonic changes and bifurcations in the interspike intervals are attributed to the phase locking of the coupled elements.
ER -
English
