A new phenomenon of a slow-fast system, canard, is studied. Some interesting propeties and the existence of canards are shown by using non-standard analysis and singular perturbations. There results explain the strange behavior of a nonlinear circuit with a small parameter.
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Makoto ITOH, Ryuichi TOMIYASU, "Canards in a Nonlinear Circuit" in IEICE TRANSACTIONS on transactions,
vol. E73-E, no. 11, pp. 1866-1873, November 1990, doi: .
Abstract: A new phenomenon of a slow-fast system, canard, is studied. Some interesting propeties and the existence of canards are shown by using non-standard analysis and singular perturbations. There results explain the strange behavior of a nonlinear circuit with a small parameter.
URL: https://globals.ieice.org/en_transactions/transactions/10.1587/e73-e_11_1866/_p
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@ARTICLE{e73-e_11_1866,
author={Makoto ITOH, Ryuichi TOMIYASU, },
journal={IEICE TRANSACTIONS on transactions},
title={Canards in a Nonlinear Circuit},
year={1990},
volume={E73-E},
number={11},
pages={1866-1873},
abstract={A new phenomenon of a slow-fast system, canard, is studied. Some interesting propeties and the existence of canards are shown by using non-standard analysis and singular perturbations. There results explain the strange behavior of a nonlinear circuit with a small parameter.},
keywords={},
doi={},
ISSN={},
month={November},}
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TY - JOUR
TI - Canards in a Nonlinear Circuit
T2 - IEICE TRANSACTIONS on transactions
SP - 1866
EP - 1873
AU - Makoto ITOH
AU - Ryuichi TOMIYASU
PY - 1990
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E73-E
IS - 11
JA - IEICE TRANSACTIONS on transactions
Y1 - November 1990
AB - A new phenomenon of a slow-fast system, canard, is studied. Some interesting propeties and the existence of canards are shown by using non-standard analysis and singular perturbations. There results explain the strange behavior of a nonlinear circuit with a small parameter.
ER -