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
Link To Document :
