International Journal of Mathematics Trends and Technology
Volume 62 | Number 1 | Year 2018 | Article Id. IJMTT-V62P509 | DOI : https://doi.org/10.14445/22315373/IJMTT-V62P509
A Rayleigh price model with time-delayed feedback is investigated in this paper. First, a time-delayed feedback controller is introduced to the Rayleigh price model and we discussed the effect of the delay on the system. Second, the linear stability of the model and the local Hopf bifurcation are studied and we derived the conditions for the stability and the existence of Hopf bifurcation at the equilibrium of the system. Besides, the direction of Hopf bifurcation and the stability of bifurcation periodic solutions are studied by adopting the center manifold theorem and the normal form theory. At last, some numerical simulation results are confirmed that the feasibility of the theoretical analysis.
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Lei Peng, Yanhui Zhai, "Hopf Bifurcation and Stability Analysis in a Price Model with Time-Delayed Feedback," International Journal of Mathematics Trends and Technology (IJMTT), vol. 62, no. 1, pp. 55-66, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V62P509
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