Abstract

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.

Details

Title
Exponential synchronization and stabilization of delayed feedback hyperchaotic financial system
Author
Rao Ruofeng 1 ; Zhu Quanxin 2   VIAFID ORCID Logo 

1  Sichuan Normal University, School of Mathematical Sciences, Chengdu, China (GRID:grid.412600.1) (ISNI:0000 0000 9479 9538); Chengdu Normal University, Department of Mathematics, Chengdu, China (GRID:grid.453300.1) (ISNI:0000 0001 0496 6791) 
2  Hunan Normal University, School of Mathematics and Statistics, Changsha, China (GRID:grid.411427.5) (ISNI:0000 0001 0089 3695) 
Publication year
2021
Publication date
Apr 2021
Publisher
Springer Nature B.V.
ISSN
1687-1839
e-ISSN
1687-1847
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/s13662-021-03357-1
ProQuest document ID
2517102190
Copyright
© The Author(s) 2021. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.