A Simple Hyperchaos Generator Including One Ideal Diode
Summary :
This article proposes a four dimensional autonomous hyperchaos generator whose nonlinear element is only one diode. The circuit is analyzed by regarding the diode as an ideal switch. Hence we can derive the two dimensional return map rigorously and its Lyapunov exponents confirm the hyperchaos generation. Also, a novel mathematical basis for the simplification to the ideal switch is given.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E75-A No.3 pp.294-298
- Publication Date
- 1992/03/25
- Publicized
- Online ISSN
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- Type of Manuscript
- Special Section INVITED PAPER (Special Section on the 4th Karuizawa Workshop on Circuits and Systems)
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Toshimichi SAITO, "A Simple Hyperchaos Generator Including One Ideal Diode" in IEICE TRANSACTIONS on Fundamentals,
vol. E75-A, no. 3, pp. 294-298, March 1992, doi: .
Abstract: This article proposes a four dimensional autonomous hyperchaos generator whose nonlinear element is only one diode. The circuit is analyzed by regarding the diode as an ideal switch. Hence we can derive the two dimensional return map rigorously and its Lyapunov exponents confirm the hyperchaos generation. Also, a novel mathematical basis for the simplification to the ideal switch is given.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e75-a_3_294/_p
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@ARTICLE{e75-a_3_294,
author={Toshimichi SAITO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Simple Hyperchaos Generator Including One Ideal Diode},
year={1992},
volume={E75-A},
number={3},
pages={294-298},
abstract={This article proposes a four dimensional autonomous hyperchaos generator whose nonlinear element is only one diode. The circuit is analyzed by regarding the diode as an ideal switch. Hence we can derive the two dimensional return map rigorously and its Lyapunov exponents confirm the hyperchaos generation. Also, a novel mathematical basis for the simplification to the ideal switch is given.},
keywords={},
doi={},
ISSN={},
month={March},}
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TY - JOUR
TI - A Simple Hyperchaos Generator Including One Ideal Diode
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 294
EP - 298
AU - Toshimichi SAITO
PY - 1992
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E75-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 1992
AB - This article proposes a four dimensional autonomous hyperchaos generator whose nonlinear element is only one diode. The circuit is analyzed by regarding the diode as an ideal switch. Hence we can derive the two dimensional return map rigorously and its Lyapunov exponents confirm the hyperchaos generation. Also, a novel mathematical basis for the simplification to the ideal switch is given.
ER -
English
