In-Phase and Anti-Phase Synchronization Phenomena in Coupled Systems of Piecewise Constant Oscillators
Summary :
In this paper, we consider synchronization phenomena in coupled systems of piecewise constant oscillators. Both in-phase and anti-phase synchronization phenomena are observed in the oscillators, which are coupled by a voltage controlled current source (VCCS) with Signum-like characteristic. On the other hand, their co-existence is observed in the oscillators coupled by a VCCS with hysteresis characteristic. We analyze the stability of the synchronization phenomena in the coupled systems by using a fast calculation algorithm for the rigorous solutions. And we clarify the parameter regions of in-phase and anti-phase synchronization by deriving correlation coefficients. We suggest that the synchronization phenomena of the proposed systems qualitatively correspond to one of van der Pol oscillators coupled by passive elements. Some theoretical results are verified in the experimental circuits.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E98-A No.1 pp.340-353
- Publication Date
- 2015/01/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E98.A.340
- Type of Manuscript
- PAPER
- Category
- Nonlinear Problems
Authors
Keisuke SUZUKI
Nagaoka University of Technology
Tadashi TSUBONE
Nagaoka University of Technology
Keyword
Latest Issue
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Keisuke SUZUKI, Tadashi TSUBONE, "In-Phase and Anti-Phase Synchronization Phenomena in Coupled Systems of Piecewise Constant Oscillators" in IEICE TRANSACTIONS on Fundamentals,
vol. E98-A, no. 1, pp. 340-353, January 2015, doi: 10.1587/transfun.E98.A.340.
Abstract: In this paper, we consider synchronization phenomena in coupled systems of piecewise constant oscillators. Both in-phase and anti-phase synchronization phenomena are observed in the oscillators, which are coupled by a voltage controlled current source (VCCS) with Signum-like characteristic. On the other hand, their co-existence is observed in the oscillators coupled by a VCCS with hysteresis characteristic. We analyze the stability of the synchronization phenomena in the coupled systems by using a fast calculation algorithm for the rigorous solutions. And we clarify the parameter regions of in-phase and anti-phase synchronization by deriving correlation coefficients. We suggest that the synchronization phenomena of the proposed systems qualitatively correspond to one of van der Pol oscillators coupled by passive elements. Some theoretical results are verified in the experimental circuits.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E98.A.340/_p
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@ARTICLE{e98-a_1_340,
author={Keisuke SUZUKI, Tadashi TSUBONE, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={In-Phase and Anti-Phase Synchronization Phenomena in Coupled Systems of Piecewise Constant Oscillators},
year={2015},
volume={E98-A},
number={1},
pages={340-353},
abstract={In this paper, we consider synchronization phenomena in coupled systems of piecewise constant oscillators. Both in-phase and anti-phase synchronization phenomena are observed in the oscillators, which are coupled by a voltage controlled current source (VCCS) with Signum-like characteristic. On the other hand, their co-existence is observed in the oscillators coupled by a VCCS with hysteresis characteristic. We analyze the stability of the synchronization phenomena in the coupled systems by using a fast calculation algorithm for the rigorous solutions. And we clarify the parameter regions of in-phase and anti-phase synchronization by deriving correlation coefficients. We suggest that the synchronization phenomena of the proposed systems qualitatively correspond to one of van der Pol oscillators coupled by passive elements. Some theoretical results are verified in the experimental circuits.},
keywords={},
doi={10.1587/transfun.E98.A.340},
ISSN={1745-1337},
month={January},}
Copy
TY - JOUR
TI - In-Phase and Anti-Phase Synchronization Phenomena in Coupled Systems of Piecewise Constant Oscillators
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 340
EP - 353
AU - Keisuke SUZUKI
AU - Tadashi TSUBONE
PY - 2015
DO - 10.1587/transfun.E98.A.340
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E98-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2015
AB - In this paper, we consider synchronization phenomena in coupled systems of piecewise constant oscillators. Both in-phase and anti-phase synchronization phenomena are observed in the oscillators, which are coupled by a voltage controlled current source (VCCS) with Signum-like characteristic. On the other hand, their co-existence is observed in the oscillators coupled by a VCCS with hysteresis characteristic. We analyze the stability of the synchronization phenomena in the coupled systems by using a fast calculation algorithm for the rigorous solutions. And we clarify the parameter regions of in-phase and anti-phase synchronization by deriving correlation coefficients. We suggest that the synchronization phenomena of the proposed systems qualitatively correspond to one of van der Pol oscillators coupled by passive elements. Some theoretical results are verified in the experimental circuits.
ER -
English
