Journal of Applied Mathematics
Volume 2012 (2012), Article ID 842716, 14 pages
Research Article

A Novel Four-Dimensional Energy-Saving and Emission-Reduction System and Its Linear Feedback Control

Department of Mathematics, Taizhou College, Nanjing Normal University, Taizhou 225300, China

Received 14 July 2012; Revised 11 October 2012; Accepted 25 October 2012

Academic Editor: Erik Van Vleck

Copyright © 2012 Minggang Wang and Hua Xu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper reports a new four-dimensional energy-saving and emission-reduction chaotic system. The system is obtained in accordance with the complicated relationship between energy saving and emission reduction, carbon emission, economic growth, and new energy development. The dynamics behavior of the system will be analyzed by means of Lyapunov exponents and equilibrium points. Linear feedback control methods are used to suppress chaos to unstable equilibrium. Numerical simulations are presented to show these results.