SEPARATRICES AND LIMIT-CYCLES OF STRONGLY NONLINEAR OSCILLATORS BY THE PERTURBATION-INCREMENTAL METHOD

Authors
XU Z CHAN HSY CHUNG KW
Citation
Z. Xu et al., SEPARATRICES AND LIMIT-CYCLES OF STRONGLY NONLINEAR OSCILLATORS BY THE PERTURBATION-INCREMENTAL METHOD, Nonlinear dynamics, 11(3), 1996, pp. 213-233
Citations number
19
Categorie Soggetti
Mechanics,"Engineering, Mechanical
Journal title
Nonlinear dynamics → ACNP
ISSN journal
0924090X
Volume
11
Issue
3
Year of publication
1996
Pages
213 - 233
Database
ISI
SICI code
0924-090X(1996)11:3<213:SALOSN>2.0.ZU;2-Y
Abstract
The perturbation-incremental method is applied to determine the separa trices and limit cycles of strongly nonlinear oscillators. Conditions are derived under which a limit cycle is created or destroyed. The lat ter case may give rise to a homoclinic orbit or a pair of heteroclinic orbits. The limit cycles and the separatrices can be calculated to an y desired degree of accuracy. Stability and bifurcations of limit cycl es will also be discussed.