IEICE TRANSACTIONS on Fundamentals
Design and Analysis of Piecewise Nonlinear Oscillators with Circular-Type Limit Cycles
Summary :
This paper develops a design method and theoretical analysis for piecewise nonlinear oscillators that have desired circular limit cycles. Especially, the mathematical proof on existence, uniqueness, and stability of the limit cycle is shown for the piecewise nonlinear oscillator. In addition, the relationship between parameters in the oscillator and rotational directions and periods of the limit cycle trajectories is investigated. Then, some numerical simulations show that the piecewise nonlinear oscillator has a unique and stable limit cycle and the properties on rotational directions and periods hold.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E106-A No.9 pp.1234-1240
- Publication Date
- 2023/09/01
- Publicized
- 2023/03/20
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2022EAP1116
- Type of Manuscript
- PAPER
- Category
- Nonlinear Problems
Authors
Tatsuya KAI
Tokyo University of Science
Koshi MAEHARA
RICOH Company, Ltd.
Keyword
Latest Issue
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Tatsuya KAI, Koshi MAEHARA, "Design and Analysis of Piecewise Nonlinear Oscillators with Circular-Type Limit Cycles" in IEICE TRANSACTIONS on Fundamentals,
vol. E106-A, no. 9, pp. 1234-1240, September 2023, doi: 10.1587/transfun.2022EAP1116.
Abstract: This paper develops a design method and theoretical analysis for piecewise nonlinear oscillators that have desired circular limit cycles. Especially, the mathematical proof on existence, uniqueness, and stability of the limit cycle is shown for the piecewise nonlinear oscillator. In addition, the relationship between parameters in the oscillator and rotational directions and periods of the limit cycle trajectories is investigated. Then, some numerical simulations show that the piecewise nonlinear oscillator has a unique and stable limit cycle and the properties on rotational directions and periods hold.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2022EAP1116/_p
Copy
@ARTICLE{e106-a_9_1234,
author={Tatsuya KAI, Koshi MAEHARA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Design and Analysis of Piecewise Nonlinear Oscillators with Circular-Type Limit Cycles},
year={2023},
volume={E106-A},
number={9},
pages={1234-1240},
abstract={This paper develops a design method and theoretical analysis for piecewise nonlinear oscillators that have desired circular limit cycles. Especially, the mathematical proof on existence, uniqueness, and stability of the limit cycle is shown for the piecewise nonlinear oscillator. In addition, the relationship between parameters in the oscillator and rotational directions and periods of the limit cycle trajectories is investigated. Then, some numerical simulations show that the piecewise nonlinear oscillator has a unique and stable limit cycle and the properties on rotational directions and periods hold.},
keywords={},
doi={10.1587/transfun.2022EAP1116},
ISSN={1745-1337},
month={September},}
Copy
TY - JOUR
TI - Design and Analysis of Piecewise Nonlinear Oscillators with Circular-Type Limit Cycles
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1234
EP - 1240
AU - Tatsuya KAI
AU - Koshi MAEHARA
PY - 2023
DO - 10.1587/transfun.2022EAP1116
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E106-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2023
AB - This paper develops a design method and theoretical analysis for piecewise nonlinear oscillators that have desired circular limit cycles. Especially, the mathematical proof on existence, uniqueness, and stability of the limit cycle is shown for the piecewise nonlinear oscillator. In addition, the relationship between parameters in the oscillator and rotational directions and periods of the limit cycle trajectories is investigated. Then, some numerical simulations show that the piecewise nonlinear oscillator has a unique and stable limit cycle and the properties on rotational directions and periods hold.
ER -
English
