Spike solutions of a nonlinear electric circuit with a periodic input

Shui-Nee Chow; Ping Lin; Shaoyun Shi

Spike solutions of a nonlinear electric circuit with a periodic input

Shui-Nee Chow
, Ping Lin
, Shaoyun Shi

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	551-581
Number of pages	31
Journal	Taiwanese Journal of Mathematics
Volume	9
Issue number	4
Publication status	Published - Dec 2005

Keywords

Spike solutions
Nonlinear circuits
Asymptotic analysis
Singular perturbation
Dynamical systems

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http://tjm.math.ntu.edu.tw/index.php/TJM/article/view/1024

Cite this

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title = "Spike solutions of a nonlinear electric circuit with a periodic input",

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.",

keywords = "Spike solutions, Nonlinear circuits, Asymptotic analysis, Singular perturbation, Dynamical systems",

author = "Shui-Nee Chow and Ping Lin and Shaoyun Shi",

note = "dc.publisher: Mathematical Society of the Republic of China ",

year = "2005",

month = dec,

language = "English",

volume = "9",

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journal = "Taiwanese Journal of Mathematics",

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T1 - Spike solutions of a nonlinear electric circuit with a periodic input

AU - Chow, Shui-Nee

AU - Lin, Ping

AU - Shi, Shaoyun

N1 - dc.publisher: Mathematical Society of the Republic of China

PY - 2005/12

Y1 - 2005/12

N2 - 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.

AB - 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.

KW - Spike solutions

KW - Nonlinear circuits

KW - Asymptotic analysis

KW - Singular perturbation

KW - Dynamical systems

M3 - Article

SN - 1027-5487

VL - 9

SP - 551

EP - 581

JO - Taiwanese Journal of Mathematics

JF - Taiwanese Journal of Mathematics

IS - 4

ER -

Spike solutions of a nonlinear electric circuit with a periodic input

Abstract

Keywords

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