1. Bifurcation control strategy for a fractional-order delayed financial crises contagions model
- Author
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Changjin Xu, Zixin Liu, Qiwen Qin, Chaouki Aouiti, and Lingyun Yao
- Subjects
Finance ,Hopf bifurcation ,business.industry ,Computer science ,delay ,General Mathematics ,Control (management) ,Computer Science::Social and Information Networks ,stability ,Nonlinear Sciences::Chaotic Dynamics ,symbols.namesake ,bifurcation control ,Order (exchange) ,fractional-order delayed financial crises contagions model ,symbols ,QA1-939 ,delayed feedback controller ,Feedback controller ,business ,Bifurcation ,Mathematics ,bifurcation figure - 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.
- Published
- 2022