Dynamics of a Nonstandard Finite‐Difference Scheme for a Limit Cycle Oscillator with Delayed Feedback

Yuanyuan Wang and Xiaohua Ding

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: We consider a complex autonomously driven single limit cycle oscillator with delayed feedback. The original model is translated to a two‐dimensional system. Through a nonstandard finite‐difference (NSFD) scheme we study the dynamics of this resulting system. The stability of the equilibrium of the model is investigated by analyzing the characteristic equation. In the two‐dimensional discrete model, we find that there are stability switches on the time delay and Hopf bifurcation when the delay passes a sequence of critical values. Finally, computer simulations are performed to illustrate the theoretical results. And the results show that NSFD scheme is better than the Euler method.

Date: 2013
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2013/912374

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:wly:jnljam:v:2013:y:2013:i:1:n:912374

Access Statistics for this article

More articles in Journal of Applied Mathematics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().