DocumentCode
1158566
Title
The Use of Jacobian Elliptic Functions in the Analysis of a Nonlinear Circuit
Author
Soudack, Avrum C.
Volume
11
Issue
1
fYear
1964
fDate
3/1/1964 12:00:00 AM
Firstpage
118
Lastpage
122
Abstract
This paper describes a method for finding an approximate solution to 
where 
is an odd polynomial. The technique consists of approximating by an odd cubic, and hence obtaining an approximate solution in the form of a Jacobian elliptic function. The solution is compared to the classical Ritz solution of both one and two terms and is found to be superior. Also, the labor involved in obtaining the solution is considerably less, which makes the method easily applicable to various engineering problems involving the equation under consideration.
where is an odd polynomial. The technique consists of approximating by an odd cubic, and hence obtaining an approximate solution in the form of a Jacobian elliptic function. The solution is compared to the classical Ritz solution of both one and two terms and is found to be superior. Also, the labor involved in obtaining the solution is considerably less, which makes the method easily applicable to various engineering problems involving the equation under consideration.Keywords
Capacitors; Differential equations; Electrical engineering; Hysteresis; Inductors; Jacobian matrices; Magnetic analysis; Nonlinear circuits; Nonlinear equations; Polynomials;
fLanguage
English
Journal_Title
Circuit Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9324
Type
jour
DOI
10.1109/TCT.1964.1082240
Filename
1082240
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