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

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.