Chaos and Control of Nonlinear Dynamic Model in the Ecological System

Author

Ji, Weizhuo

Author_Institution

Handan Coll., Handan, China

fYear

2010

Firstpage

326

Lastpage

330

Abstract

One dynamic model has been established in ecological system. Considering the influence of foreign trade on the ecological footprint and ecological carrying capacity, the stability analysis of the system has been given. The influence of the parameter on the system has been discussed while the other conditions were fixed. Then the Variable feedback chaos control method is successfully applied to stabilize the unstable periodic orbits in chaotic attractor. The numerical simulation results show that this control method is effective. Based on the model, the complex nonlinear relationships among foreign trade, ecological footprint and ecological carrying capacity are obtained.

Keywords

chaos; ecology; nonlinear dynamical systems; stability; chaotic attractor; complex nonlinear relationships; ecological system; foreign trade; nonlinear dynamic model; stability analysis; unstable periodic orbits; variable feedback chaos control; Bifurcation; Biological system modeling; Chaos; Fractals; Nonlinear dynamical systems; Numerical models; Perturbation methods; attractor; bifurcation; chaos control; ecological carrying capacity (ECC); ecological footprint (EF);

fLanguage

English

Publisher

ieee

Conference_Titel

Chaos-Fractals Theories and Applications (IWCFTA), 2010 International Workshop on

Conference_Location

Kunming, Yunnan

Print_ISBN

978-1-4244-8815-5

Type

conf

DOI

10.1109/IWCFTA.2010.41

Filename

5671194