EXISTENCE AND NONEXISTENCE OF PERIODIC-SOLUTIONS FOR THE LIENARD AND RELATED EQUATIONS

Authors
NOCILLA S MORONI P
Citation
S. Nocilla et P. Moroni, EXISTENCE AND NONEXISTENCE OF PERIODIC-SOLUTIONS FOR THE LIENARD AND RELATED EQUATIONS, Nonlinear dynamics, 6(3), 1994, pp. 331-352
Citations number
10
Categorie Soggetti
Mechanics,"Engineering, Mechanical
Journal title
Nonlinear dynamics → ACNP
ISSN journal
0924090X
Volume
6
Issue
3
Year of publication
1994
Pages
331 - 352
Database
ISI
SICI code
0924-090X(1994)6:3<331:EANOPF>2.0.ZU;2-I
Abstract
The existence of periodic solutions of Lienard type equations is conve rted into the existence of special fixed point problems with auxiliary conditions. A general method for exact calculation of the limit cycle s is given, and the corresponding numerical iterative procedure is car ried out in significant cases, with comparison to standard Runge-Kutta numerical integration. On the basis of the general theory, criteria f or the existence of limit cycles are given and tested in particular ca ses.