Complexity in the Stochastic Kaldor-Kalecki Model of Business Cycle with Noise

Lin Zeng, Xuehan Xu and Zai

Abstract

In the paper, the stochastic Kaldor-Kalecki model of business cycle with noise is investigated. By analyzing the Lyapunov exponent, invariant measure and singular boundary theory, some new criteria ensuring stochastic stability, P-bifurcation and pitchfork bifurcation for stochastic Kaldor-Kalecki model are obtained, respectively. Numerical simulation results are given to support the theoretical predictions.