Chaotic Phenomena in a Circuit with a Diode due to the Change of the Oscillation Frequency

Naohiko INABA; Shinsaku MORI

Chaotic Phenomena in a Circuit with a Diode due to the Change of the Oscillation Frequency

Naohiko INABA, Shinsaku MORI

Full Text Views

0

Cite this

Summary :

In this paper, chaotic phenomena in a simple circuit which has a new type of vector field, are discussed. It has only one nonlinear diode which operates as a limiter, and a real eigenvalue when the diode is on, is equal to zero. In addition, the physical mechanisms of the generation for chaos are clearer. The switching operation of the diode changes the oscillation frequency in the circuit considerably and this ettect causes a stretching and folding mechanism. Moreover by idealizing the diode, the attractor is proved to be chaos in the sense of Li-Yorke. Lastly the theoretical results are verified by circuit experiments.

Publication: IEICE TRANSACTIONS on transactions Vol.E71-E No.9 pp.842-849

Publication Date: 1988/09/25

Publicized

Online ISSN

DOI

Type of Manuscript: PAPER

Category: Nonlinear Problems

Authors

Naohiko INABA
Shinsaku MORI

Keyword

Cite this

Copy

Naohiko INABA, Shinsaku MORI, "Chaotic Phenomena in a Circuit with a Diode due to the Change of the Oscillation Frequency" in IEICE TRANSACTIONS on transactions, vol. E71-E, no. 9, pp. 842-849, September 1988, doi: .
Abstract: In this paper, chaotic phenomena in a simple circuit which has a new type of vector field, are discussed. It has only one nonlinear diode which operates as a limiter, and a real eigenvalue when the diode is on, is equal to zero. In addition, the physical mechanisms of the generation for chaos are clearer. The switching operation of the diode changes the oscillation frequency in the circuit considerably and this ettect causes a stretching and folding mechanism. Moreover by idealizing the diode, the attractor is proved to be chaos in the sense of Li-Yorke. Lastly the theoretical results are verified by circuit experiments.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e71-e_9_842/_p

Copy

@ARTICLE{e71-e_9_842,
author={Naohiko INABA, Shinsaku MORI, },
journal={IEICE TRANSACTIONS on transactions},
title={Chaotic Phenomena in a Circuit with a Diode due to the Change of the Oscillation Frequency},
year={1988},
volume={E71-E},
number={9},
pages={842-849},
abstract={In this paper, chaotic phenomena in a simple circuit which has a new type of vector field, are discussed. It has only one nonlinear diode which operates as a limiter, and a real eigenvalue when the diode is on, is equal to zero. In addition, the physical mechanisms of the generation for chaos are clearer. The switching operation of the diode changes the oscillation frequency in the circuit considerably and this ettect causes a stretching and folding mechanism. Moreover by idealizing the diode, the attractor is proved to be chaos in the sense of Li-Yorke. Lastly the theoretical results are verified by circuit experiments.},
keywords={},
doi={},
ISSN={},
month={September},}

Copy

TY - JOUR
TI - Chaotic Phenomena in a Circuit with a Diode due to the Change of the Oscillation Frequency
T2 - IEICE TRANSACTIONS on transactions
SP - 842
EP - 849
AU - Naohiko INABA
AU - Shinsaku MORI
PY - 1988
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E71-E
IS - 9
JA - IEICE TRANSACTIONS on transactions
Y1 - September 1988
AB - In this paper, chaotic phenomena in a simple circuit which has a new type of vector field, are discussed. It has only one nonlinear diode which operates as a limiter, and a real eigenvalue when the diode is on, is equal to zero. In addition, the physical mechanisms of the generation for chaos are clearer. The switching operation of the diode changes the oscillation frequency in the circuit considerably and this ettect causes a stretching and folding mechanism. Moreover by idealizing the diode, the attractor is proved to be chaos in the sense of Li-Yorke. Lastly the theoretical results are verified by circuit experiments.
ER -