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2005 SPIKE SOLUTIONS OF A NONLINEAR ELECTRIC CIRCUIT WITH A PERIODIC INPUT
Shui-Nee Chow, Ping Lin, Shaoyun Shi
Taiwanese J. Math. 9(4): 551-581 (2005). DOI: 10.11650/twjm/1500407883

Abstract

We consider spike solutions of a second order differential equation with a forcing modeling a nonlinear circuit used in converting analog signals to digital ones. It is shown that the number of spikes which correspond to bits in digital signals can be provided by asymptotic expansions. Numerical results are also presented.

Citation

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Shui-Nee Chow. Ping Lin. Shaoyun Shi. "SPIKE SOLUTIONS OF A NONLINEAR ELECTRIC CIRCUIT WITH A PERIODIC INPUT." Taiwanese J. Math. 9 (4) 551 - 581, 2005. https://doi.org/10.11650/twjm/1500407883

Information

Published: 2005
First available in Project Euclid: 18 July 2017

zbMATH: 1160.94375
MathSciNet: MR2185402
Digital Object Identifier: 10.11650/twjm/1500407883

Subjects:
Primary: 34E10 , 94A14 , 94C99

Keywords: asymptotic analysis , dynamical systems , nonlinear circults , Singular perturbation , spike solutions

Rights: Copyright © 2005 The Mathematical Society of the Republic of China

Vol.9 • No. 4 • 2005
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