Exponential synchronization and stabilization of delayed feedback hyperchaotic financial system

Advances in Difference Equations

Ruofeng Rao¹  Quanxin Zhu² 

[1] School of Mathematical Sciences, Sichuan Normal University, Chengdu, China;Department of Mathematics, Chengdu Normal University, Chengdu, China;School of Mathematics and Statistics, Hunan Normal University, Changsha, China;

关键词: Delayed feedback financial system;    Hyperchaotic system;    Differential mean value theorem;    Synchronization;    Impulse;   

DOI  :  10.1186/s13662-021-03357-1

来源: Springer

【 摘 要 】

In a real financial market, the delayed market feedback and the delayed effect of government macrocontrol are inevitable, and both bring mathematical difficulties in studying stabilization and synchronization of the hyperchaotic financial system. However, employing the Lyapunov function method, differential mean value theorem, and suitable bounded hypotheses and pulse control technology result in globally asymptotic stabilization and synchronization criteria. It is the first paper driving the stabilization and synchronization criteria under the assumptions of double delays. Finally, numerical examples illustrate the effectiveness of the proposed methods.

【 授权许可】

CC BY