Master-Slave Coupled Piecewise Constant Spiking Oscillators

Yusuke MATSUOKA

doi:10.1587/transfun.E94.A.1860

Master-Slave Coupled Piecewise Constant Spiking Oscillators

Yusuke MATSUOKA

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This paper presents pulse-coupled piecewise constant spiking oscillators (PWCSOs) consisting of two PWCSOs and a coupling method is master-slave coupling. The slave PWCSO exhibits chaos because of chaotic response of the master one. However, if the parameter varies, the slave PWCSO can exhibit the phenomena as a periodicity in the phase plane. We focus on such phenomena and corresponding bifurcation. Using the 2-D return map, we clarify its mechanism.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E94-A No.9 pp.1860-1863

Publication Date: 2011/09/01

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Online ISSN: 1745-1337

DOI: 10.1587/transfun.E94.A.1860

Type of Manuscript: LETTER

Category: Nonlinear Problems

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Yusuke MATSUOKA, "Master-Slave Coupled Piecewise Constant Spiking Oscillators" in IEICE TRANSACTIONS on Fundamentals, vol. E94-A, no. 9, pp. 1860-1863, September 2011, doi: 10.1587/transfun.E94.A.1860.
Abstract: This paper presents pulse-coupled piecewise constant spiking oscillators (PWCSOs) consisting of two PWCSOs and a coupling method is master-slave coupling. The slave PWCSO exhibits chaos because of chaotic response of the master one. However, if the parameter varies, the slave PWCSO can exhibit the phenomena as a periodicity in the phase plane. We focus on such phenomena and corresponding bifurcation. Using the 2-D return map, we clarify its mechanism.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E94.A.1860/_p

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@ARTICLE{e94-a_9_1860,
author={Yusuke MATSUOKA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Master-Slave Coupled Piecewise Constant Spiking Oscillators},
year={2011},
volume={E94-A},
number={9},
pages={1860-1863},
abstract={This paper presents pulse-coupled piecewise constant spiking oscillators (PWCSOs) consisting of two PWCSOs and a coupling method is master-slave coupling. The slave PWCSO exhibits chaos because of chaotic response of the master one. However, if the parameter varies, the slave PWCSO can exhibit the phenomena as a periodicity in the phase plane. We focus on such phenomena and corresponding bifurcation. Using the 2-D return map, we clarify its mechanism.},
keywords={},
doi={10.1587/transfun.E94.A.1860},
ISSN={1745-1337},
month={September},}

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TY - JOUR
TI - Master-Slave Coupled Piecewise Constant Spiking Oscillators
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1860
EP - 1863
AU - Yusuke MATSUOKA
PY - 2011
DO - 10.1587/transfun.E94.A.1860
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E94-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2011
AB - This paper presents pulse-coupled piecewise constant spiking oscillators (PWCSOs) consisting of two PWCSOs and a coupling method is master-slave coupling. The slave PWCSO exhibits chaos because of chaotic response of the master one. However, if the parameter varies, the slave PWCSO can exhibit the phenomena as a periodicity in the phase plane. We focus on such phenomena and corresponding bifurcation. Using the 2-D return map, we clarify its mechanism.
ER -