Delay-Induced Bifurcation in High-Order Fractional Goodwin Models with Disparate Orders

Abstract

In the present paper, we first attempt to investigate the bifurcation for the delayed high-dimensional fractional Goodwin model with different orders. By taking the sum of time delays as a bifurcation parameter, the distribution of the characteristic roots of the linearized system is analyzed and the conditions of Hopf bifurcation are obtained. It is revealed that the model undergoes the Hopf bifurcation when the bifurcation parameter increases and exceeds the critical value. To verify the efficiency of our analytic findings, two simulation examples have been ultimately provided.