Experimental Study of Mixed-Mode Oscillations in a Four-Segment Piecewise Linear Bonhoeffer-van der Pol Oscillator under Weak Periodic Perturbation -Successive and Nonsuccessive MMO-Incrementing Bifurcations-
Summary :
This report presents experimental measurements of mixed-mode oscillations (MMOs) generated by a weakly driven four-segment piecewise linear Bonhoeffer-van der Pol (BVP) oscillator. Such a roughly approximated simple piecewise linear circuit can generate MMOs and mixed-mode oscillation-incrementing bifurcations (MMOIBs). The laboratory experiments well agree with numerical results. We experimentally and numerically observe time series and Lorenz plots of MMOs generated by successive and nonsuccessive MMOIBs.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E100-A No.7 pp.1522-1531
- Publication Date
- 2017/07/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E100.A.1522
- Type of Manuscript
- PAPER
- Category
- Nonlinear Problems
Authors
Tri Quoc TRUONG
Nagaoka University of Technology
Tadashi TSUBONE
Nagaoka University of Technology
Kuniyasu SHIMIZU
Chiba Institute of Technology
Naohiko INABA
Meiji University
Keyword
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Tri Quoc TRUONG, Tadashi TSUBONE, Kuniyasu SHIMIZU, Naohiko INABA, "Experimental Study of Mixed-Mode Oscillations in a Four-Segment Piecewise Linear Bonhoeffer-van der Pol Oscillator under Weak Periodic Perturbation -Successive and Nonsuccessive MMO-Incrementing Bifurcations-" in IEICE TRANSACTIONS on Fundamentals,
vol. E100-A, no. 7, pp. 1522-1531, July 2017, doi: 10.1587/transfun.E100.A.1522.
Abstract: This report presents experimental measurements of mixed-mode oscillations (MMOs) generated by a weakly driven four-segment piecewise linear Bonhoeffer-van der Pol (BVP) oscillator. Such a roughly approximated simple piecewise linear circuit can generate MMOs and mixed-mode oscillation-incrementing bifurcations (MMOIBs). The laboratory experiments well agree with numerical results. We experimentally and numerically observe time series and Lorenz plots of MMOs generated by successive and nonsuccessive MMOIBs.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E100.A.1522/_p
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@ARTICLE{e100-a_7_1522,
author={Tri Quoc TRUONG, Tadashi TSUBONE, Kuniyasu SHIMIZU, Naohiko INABA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Experimental Study of Mixed-Mode Oscillations in a Four-Segment Piecewise Linear Bonhoeffer-van der Pol Oscillator under Weak Periodic Perturbation -Successive and Nonsuccessive MMO-Incrementing Bifurcations-},
year={2017},
volume={E100-A},
number={7},
pages={1522-1531},
abstract={This report presents experimental measurements of mixed-mode oscillations (MMOs) generated by a weakly driven four-segment piecewise linear Bonhoeffer-van der Pol (BVP) oscillator. Such a roughly approximated simple piecewise linear circuit can generate MMOs and mixed-mode oscillation-incrementing bifurcations (MMOIBs). The laboratory experiments well agree with numerical results. We experimentally and numerically observe time series and Lorenz plots of MMOs generated by successive and nonsuccessive MMOIBs.},
keywords={},
doi={10.1587/transfun.E100.A.1522},
ISSN={1745-1337},
month={July},}
Copy
TY - JOUR
TI - Experimental Study of Mixed-Mode Oscillations in a Four-Segment Piecewise Linear Bonhoeffer-van der Pol Oscillator under Weak Periodic Perturbation -Successive and Nonsuccessive MMO-Incrementing Bifurcations-
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1522
EP - 1531
AU - Tri Quoc TRUONG
AU - Tadashi TSUBONE
AU - Kuniyasu SHIMIZU
AU - Naohiko INABA
PY - 2017
DO - 10.1587/transfun.E100.A.1522
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E100-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 2017
AB - This report presents experimental measurements of mixed-mode oscillations (MMOs) generated by a weakly driven four-segment piecewise linear Bonhoeffer-van der Pol (BVP) oscillator. Such a roughly approximated simple piecewise linear circuit can generate MMOs and mixed-mode oscillation-incrementing bifurcations (MMOIBs). The laboratory experiments well agree with numerical results. We experimentally and numerically observe time series and Lorenz plots of MMOs generated by successive and nonsuccessive MMOIBs.
ER -
English
