Neimark–Sacker Bifurcation Analysis and 0–1 Chaos Test of an Interactions Model between Industrial Production and Environmental Quality in a Closed Area

Sustainability

Baogui Xin¹  Zhiheng Wu² 

[1] Nonlinear Science Center, College of Economics and Management, Shandong University of Science and Technology, Qingdao 266590, China; E-Mail

关键词: industrial production;    environmental quality;    sustainable development;    Neimark–Sacker bifurcation;    0–1 test for chaos;   

DOI  :  10.3390/su70810191

来源: mdpi

【 摘 要 】

A discrete-time model is presented to describe the complex interaction between industrial production and environmental quality in a closed area. Its Neimark–Sacker bifurcation and chaos are discussed based on Wen's explicit Neimark–Sacker bifurcation criterion, Kuznetsov's normal form method and center manifold theory and Gottwald and Melbourne's 0–1 test algorithm. Numerical simulations are employed to validate the main results of this work.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.