Synchronization and Chaos of Coupled Duffing-Rayleigh Oscillators
Summary :
Synchronization and chaos of the oscillator circuit that is composed of two Duffing-Rayleigh oscillators coupled by resistor are investigated. The characteristic feature of this system is that the cubic nonlinear restoring force of each oscillator. The restoring force causes the Neimark-Sacker bifurcation with various synchronizations in the parameter plane. We clarify the bifurcation structure related with this nonlinear phenomenon, and study the chaotic state and its bifurcation process. Especially, we deals with the case that the symmetrical property is broken by changing system parameters.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E79-A No.10 pp.1581-1586
- Publication Date
- 1996/10/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on Nonlinear Theory and its Applications (NOLTA))
- Category
- Nonlinear Circuits and Bifurcation
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Tatsuya MIHARA, Hiroshi KAWAKAMI, "Synchronization and Chaos of Coupled Duffing-Rayleigh Oscillators" in IEICE TRANSACTIONS on Fundamentals,
vol. E79-A, no. 10, pp. 1581-1586, October 1996, doi: .
Abstract: Synchronization and chaos of the oscillator circuit that is composed of two Duffing-Rayleigh oscillators coupled by resistor are investigated. The characteristic feature of this system is that the cubic nonlinear restoring force of each oscillator. The restoring force causes the Neimark-Sacker bifurcation with various synchronizations in the parameter plane. We clarify the bifurcation structure related with this nonlinear phenomenon, and study the chaotic state and its bifurcation process. Especially, we deals with the case that the symmetrical property is broken by changing system parameters.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e79-a_10_1581/_p
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@ARTICLE{e79-a_10_1581,
author={Tatsuya MIHARA, Hiroshi KAWAKAMI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Synchronization and Chaos of Coupled Duffing-Rayleigh Oscillators},
year={1996},
volume={E79-A},
number={10},
pages={1581-1586},
abstract={Synchronization and chaos of the oscillator circuit that is composed of two Duffing-Rayleigh oscillators coupled by resistor are investigated. The characteristic feature of this system is that the cubic nonlinear restoring force of each oscillator. The restoring force causes the Neimark-Sacker bifurcation with various synchronizations in the parameter plane. We clarify the bifurcation structure related with this nonlinear phenomenon, and study the chaotic state and its bifurcation process. Especially, we deals with the case that the symmetrical property is broken by changing system parameters.},
keywords={},
doi={},
ISSN={},
month={October},}
Copy
TY - JOUR
TI - Synchronization and Chaos of Coupled Duffing-Rayleigh Oscillators
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1581
EP - 1586
AU - Tatsuya MIHARA
AU - Hiroshi KAWAKAMI
PY - 1996
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E79-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 1996
AB - Synchronization and chaos of the oscillator circuit that is composed of two Duffing-Rayleigh oscillators coupled by resistor are investigated. The characteristic feature of this system is that the cubic nonlinear restoring force of each oscillator. The restoring force causes the Neimark-Sacker bifurcation with various synchronizations in the parameter plane. We clarify the bifurcation structure related with this nonlinear phenomenon, and study the chaotic state and its bifurcation process. Especially, we deals with the case that the symmetrical property is broken by changing system parameters.
ER -
English
