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A dynamic IS-LM business cycle model with two time delays in capital accumulation equation
Authors:Lujun Zhou  Yaqiong Li
Institution:College of Mathematics and Econometrics, Hunan University, Changsha, 410082, PR China
Abstract:In this paper, we analyze a augmented IS-LM business cycle model with the capital accumulation equation that two time delays are considered in investment processes according to Kalecki’s idea. Applying stability switch criteria and Hopf bifurcation theory, we prove that time delays cause the equilibrium to lose or gain stability and Hopf bifurcation occurs.
Keywords:Time delays  Asymptotically stable  Stability switch  Hopf bifurcation  IS-LM model
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