Title :
Chaos and Control of Nonlinear Dynamic Model in the Ecological System
Author_Institution :
Handan Coll., Handan, China
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);
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2010 International Workshop on
Conference_Location :
Kunming, Yunnan
Print_ISBN :
978-1-4244-8815-5
DOI :
10.1109/IWCFTA.2010.41
