Abstract

In this paper, the bifurcation theory is used to study the mass adjustment dynamic time-delay model with double time delay. Firstly, the delay decision is selected as the delay parameter to obtain the stability point and the critical value of maintaining stability, and the conditions for Hopf bifurcation are discussed. In addition, the Hopf bifurcation direction and the stability of periodic solutions are studied by using the central manifold theorem and the gauge theory, and the calculation formula is obtained. Finally, the validity of the conclusion is verified by numerical simulation with mathematical software.

Keywords

References

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