The number of small-amplitude limit cycles of Liénard equations

1 March 1984

journal article
research article
Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society

Vol. 95 (2) , 359-366
https://doi.org/10.1017/s0305004100061636

Abstract

We consider second order differential equations of Liénard type:Such equations have been very widely studied and arise frequently in applications. There is an extensive literature relating to the existence and uniqueness of periodic solutions: the paper of Staude[6] is a comprehensive survey. Our interest is in the number of periodic solutions of such equations.

Keywords

DIFFERENTIAL
SURVEY
STAUDE
AMPLITUDE
INTEREST
LIÉNARD EQUATIONS
PERIODIC SOLUTIONS
EXISTENCE

This publication has 3 references indexed in Scilit:

On the existence of N periodic solutions of Liénard's equation
Nonlinear Analysis, 1983
Ljapunov approach to multiple Hopf bifurcation
Journal of Mathematical Analysis and Applications, 1979
On Liénard's equation
Published by Springer Nature ,1977