Self-excited systems: Analytical determination of limit cycles

D’Acunto, Mario

Chaos, Solitons & Fractals, 2006, vol. 30, issue 3, 719-724

Abstract: The determination of amplitude and period of limit cycles is a crucial question in non-linear mechanics. Recently, a van der Pol oscillator containing a periodic potential has been considered as a suitable self-excited system in tribological studies. Analytical expressions for the amplitude and the period of limit cycles for such modified van der Pol oscillator are calculated making use of the He’s variational method and the Krylov–Bogoliubov–Mitropolsky (KBM) method. The analytical results are then compared to numerical correspondent results, showing the goodness of the two methods in the range of application.

Date: 2006
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077906003055
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:30:y:2006:i:3:p:719-724

DOI: 10.1016/j.chaos.2006.03.070

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().