Derivative Expansion of the Second-order Autonomous System with Periodic Nonlinearity
Summary :
By the derivative expansion method we solved a certain perturbation problem which well represents the phase lock loop. We derived the equation which describes the dynamics of a slowly varying parameter E, where E can be regarded as the averaged energy of the system approximately.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E61-E No.12 pp.962-963
- Publication Date
- 1978/12/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- LETTER
- Category
- Circuit Theory
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Tutomu KAWATA, Hiroshi INOUE, "Derivative Expansion of the Second-order Autonomous System with Periodic Nonlinearity" in IEICE TRANSACTIONS on transactions,
vol. E61-E, no. 12, pp. 962-963, December 1978, doi: .
Abstract: By the derivative expansion method we solved a certain perturbation problem which well represents the phase lock loop. We derived the equation which describes the dynamics of a slowly varying parameter E, where E can be regarded as the averaged energy of the system approximately.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e61-e_12_962/_p
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@ARTICLE{e61-e_12_962,
author={Tutomu KAWATA, Hiroshi INOUE, },
journal={IEICE TRANSACTIONS on transactions},
title={Derivative Expansion of the Second-order Autonomous System with Periodic Nonlinearity},
year={1978},
volume={E61-E},
number={12},
pages={962-963},
abstract={By the derivative expansion method we solved a certain perturbation problem which well represents the phase lock loop. We derived the equation which describes the dynamics of a slowly varying parameter E, where E can be regarded as the averaged energy of the system approximately.},
keywords={},
doi={},
ISSN={},
month={December},}
Copy
TY - JOUR
TI - Derivative Expansion of the Second-order Autonomous System with Periodic Nonlinearity
T2 - IEICE TRANSACTIONS on transactions
SP - 962
EP - 963
AU - Tutomu KAWATA
AU - Hiroshi INOUE
PY - 1978
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E61-E
IS - 12
JA - IEICE TRANSACTIONS on transactions
Y1 - December 1978
AB - By the derivative expansion method we solved a certain perturbation problem which well represents the phase lock loop. We derived the equation which describes the dynamics of a slowly varying parameter E, where E can be regarded as the averaged energy of the system approximately.
ER -
English
