Stabilization and Chaos Control of an Economic Model via a Time-Delayed Feedback Scheme

Author:

Hu Yang1,Hu Guangping2

Affiliation:

1. Reading Academy, Nanjing University of Information Science and Technology, Nanjing 210044, China

2. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China

Abstract

This paper addresses the problem of chaos control in an economic mathematical dynamical model. By regarding the control variables as the bifurcation parameters, the stability of equilibria and the existence of Hopf bifurcations of the relevance feedback system are investigated, and the criterion of controllability for the chaotic system is obtained based on a time-delayed feedback control technique. Furthermore, numerical simulations are provided to demonstrate the feasibility of our methods and results.

Funder

National Special Research Fund for Non-Profit Sector

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference23 articles.

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3. Brock, W.A., and Malliaris, A.G. (1989). Differential Equations, Stability and Chaos in Dynamic Economics, Elsevier-North-Holland.

4. Nonlinearity and chaos in economic models: Implications for policy decisions;Bullard;Econ. J. R. Econ. Soc.,1993

5. Complex economic dynamics: Obvious in history, generic in theory, elusive in data;Day;J. Appl. Econom.,1992

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