Bifurcation analysis in a limit cycle oscillator with delayed feedback

2005 ◽  
Vol 23 (3) ◽  
pp. 817-831 ◽  
Author(s):  
Weihua Jiang ◽  
Junjie Wei
Keyword(s):  
Limit Cycle ◽  
Bifurcation Analysis ◽  
Delayed Feedback ◽  
Limit Cycle Oscillator

scholarly journals Dynamics of a Nonstandard Finite-Difference Scheme for a Limit Cycle Oscillator with Delayed Feedback

2013 ◽  
Vol 2013 ◽  
pp. 1-11
Author(s):  
Yuanyuan Wang ◽  
Xiaohua Ding
Keyword(s):  
Finite Difference ◽  
Limit Cycle ◽  
Euler Method ◽  
Delayed Feedback ◽  
Dimensional System ◽  
Two Dimensional ◽  
Limit Cycle Oscillator ◽  
The Stability ◽  
Nsfd Scheme ◽  
Nonstandard Finite Difference

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.

scholarly journals Application of a Limit-Cycle Oscillator Model for Prediction of Circadian Phase in Rotating Night Shift Workers

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Julia E. Stone ◽  
Xavier L. Aubert ◽  
Henning Maass ◽  
Andrew J. K. Phillips ◽  
Michelle Magee ◽  
...  
Keyword(s):  
Limit Cycle ◽  
Night Shift ◽  
Oscillator Model ◽  
Shift Workers ◽  
Circadian Phase ◽  
Limit Cycle Oscillator
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