Analysis of Chaotic Phenomena in Two RC Phase Shift Oscillators Coupled by a Diode
Summary :
In this paper, a simple chaotic circuit using two RC phase shift oscillators and a diode is proposed and analyzed. By using a simpler model of the original circuit, the mechanism of generating chaos is explained and the exact solutions are derived. The exact expression of the Poincare map and its Jacobian matrix make it possible to confirm the generation of chaos using the Lyapunov exponents and to investigate the related bifurcation phenomena.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E84-A No.9 pp.2288-2295
- Publication Date
- 2001/09/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Nonlinear Problems
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Yasuteru HOSOKAWA, Yoshifumi NISHIO, Akio USHIDA, "Analysis of Chaotic Phenomena in Two RC Phase Shift Oscillators Coupled by a Diode" in IEICE TRANSACTIONS on Fundamentals,
vol. E84-A, no. 9, pp. 2288-2295, September 2001, doi: .
Abstract: In this paper, a simple chaotic circuit using two RC phase shift oscillators and a diode is proposed and analyzed. By using a simpler model of the original circuit, the mechanism of generating chaos is explained and the exact solutions are derived. The exact expression of the Poincare map and its Jacobian matrix make it possible to confirm the generation of chaos using the Lyapunov exponents and to investigate the related bifurcation phenomena.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e84-a_9_2288/_p
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@ARTICLE{e84-a_9_2288,
author={Yasuteru HOSOKAWA, Yoshifumi NISHIO, Akio USHIDA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Analysis of Chaotic Phenomena in Two RC Phase Shift Oscillators Coupled by a Diode},
year={2001},
volume={E84-A},
number={9},
pages={2288-2295},
abstract={In this paper, a simple chaotic circuit using two RC phase shift oscillators and a diode is proposed and analyzed. By using a simpler model of the original circuit, the mechanism of generating chaos is explained and the exact solutions are derived. The exact expression of the Poincare map and its Jacobian matrix make it possible to confirm the generation of chaos using the Lyapunov exponents and to investigate the related bifurcation phenomena.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - Analysis of Chaotic Phenomena in Two RC Phase Shift Oscillators Coupled by a Diode
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2288
EP - 2295
AU - Yasuteru HOSOKAWA
AU - Yoshifumi NISHIO
AU - Akio USHIDA
PY - 2001
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E84-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2001
AB - In this paper, a simple chaotic circuit using two RC phase shift oscillators and a diode is proposed and analyzed. By using a simpler model of the original circuit, the mechanism of generating chaos is explained and the exact solutions are derived. The exact expression of the Poincare map and its Jacobian matrix make it possible to confirm the generation of chaos using the Lyapunov exponents and to investigate the related bifurcation phenomena.
ER -
English
