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

Baogui Xin and Zhiheng Wu
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Zhiheng Wu: Nonlinear Science Center, College of Economics and Management, Shandong University of Science and Technology, Qingdao 266590, China

Sustainability, 2015, vol. 7, issue 8, 1-19

Abstract: 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.

Keywords: industrial production; environmental quality; sustainable development; Neimark–Sacker bifurcation; 0–1 test for chaos (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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