Dynamics of a Nonstandard Finite-Difference Scheme for a Limit Cycle Oscillator with Delayed Feedback | Zendy

Yuanyuan Wang | Zendy; Xiaohua Ding | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

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

Author(s) -

Yuanyuan Wang,

Xiaohua Ding

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/912374

Subject(s) - limit (mathematics) , limit cycle , mathematics , hopf bifurcation , scheme (mathematics) , stability (learning theory) , control theory (sociology) , bifurcation , euler's formula , dynamics (music) , mathematical analysis , physics , computer science , nonlinear system , quantum mechanics , control (management) , machine learning , artificial intelligence , acoustics

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) schemewe study the dynamics of this resulting system. The stability of the equilibrium of the model is investigatedby analyzing the characteristic equation. In the two-dimensional discrete model, we find that there are stability switches on thetime delay and Hopf bifurcation when the delay passes a sequence of criticalvalues. Finally, computer simulations are performed to illustrate thetheoretical results. And the results show that NSFD scheme is better than the Euler method

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research