Bifurcation control strategy for a fractional-order delayed financial crises contagions model

Abstract

In this paper, we propose a novel fractional-order delayed financial crises contagions model. The stability, Hopf bifurcation and its control of the established fractional-order delayed financial crises contagions model are studied. A delay-independent sufficient condition ensuring the stability and the occurrence of Hopf bifurcation for the fractional-order delayed financial crises contagions model is obtained. By applying time delay feedback controller, a novel delay-independent sufficient criterion guaranteeing the the stability and the occurrence of Hopf bifurcation for the fractional-order controlled financial crises contagions model with delays is set up.

Keywords

• fractional-order delayed financial crises contagions model
• delayed feedback controller
• stability
• bifurcation control
• delay
• bifurcation figure