DocumentCode :
1202103
Title :
On the Number of Stable Periods of a Differential Equation of the van der Pol Type
Author :
Littlewood, J.E.
Volume :
7
Issue :
4
fYear :
1960
fDate :
12/1/1960 12:00:00 AM
Firstpage :
535
Lastpage :
542
Abstract :
Van der Pol\´s differential equation with forcing term can, for some values of the parameter 
, have stable periodic solutions of two distinct periods. The paper examines whether, with a generalization of the equation not too unlike the original, there can be more than two distinct periods. The answer is affirmative. The example (with three periods-in principle, there can be many), while within the permissible limits, is very sophisticated for its kind. But if the phenomenon can happen at all, it may be presumed to happen in much simpler cases.
, have stable periodic solutions of two distinct periods. The paper examines whether, with a generalization of the equation not too unlike the original, there can be more than two distinct periods. The answer is affirmative. The example (with three periods-in principle, there can be many), while within the permissible limits, is very sophisticated for its kind. But if the phenomenon can happen at all, it may be presumed to happen in much simpler cases.Keywords :
Bibliographies; Circuit theory; Damping; Differential equations; Educational institutions; Mathematics; Nonlinear equations; Shape;
fLanguage :
English
Journal_Title :
Circuit Theory, IRE Transactions on
Publisher :
ieee
ISSN :
0096-2007
Type :
jour
DOI :
10.1109/TCT.1960.1086700
Filename :
1086700
Link To Document :
