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Open AccessArticle

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

Nonlinear Science Center, College of Economics and Management, Shandong University of Science and Technology, Qingdao 266590, China
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Academic Editor: Giuseppe Ioppolo
Sustainability 2015, 7(8), 10191-10209; https://doi.org/10.3390/su70810191
Received: 5 May 2015 / Revised: 10 July 2015 / Accepted: 24 July 2015 / Published: 31 July 2015
(This article belongs to the Section Economic and Business Aspects of Sustainability)
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. View Full-Text
Keywords: industrial production; environmental quality; sustainable development; Neimark–Sacker bifurcation; 0–1 test for chaos industrial production; environmental quality; sustainable development; Neimark–Sacker bifurcation; 0–1 test for chaos
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MDPI and ACS Style

Xin, B.; Wu, Z. Neimark–Sacker Bifurcation Analysis and 0–1 Chaos Test of an Interactions Model between Industrial Production and Environmental Quality in a Closed Area. Sustainability 2015, 7, 10191-10209.

AMA Style

Xin B, Wu Z. Neimark–Sacker Bifurcation Analysis and 0–1 Chaos Test of an Interactions Model between Industrial Production and Environmental Quality in a Closed Area. Sustainability. 2015; 7(8):10191-10209.

Chicago/Turabian Style

Xin, Baogui; Wu, Zhiheng. 2015. "Neimark–Sacker Bifurcation Analysis and 0–1 Chaos Test of an Interactions Model between Industrial Production and Environmental Quality in a Closed Area" Sustainability 7, no. 8: 10191-10209.

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