Economic Dynamics with time delays and nonlinearities

应用非线性动力学理论，利用时滞微分方程，我们不仅重新考虑了经典的经济周期模型，而且重新考虑了有关垄断和双头垄断的规范微观经济学理论。分析和数值证明了任何非线性经济动力学模型都可以产生简单的动力学，如时滞连续分布时的极限环，以及时滞固定时的包含混沌的复杂动力学。

Applying the nonlinear dynamic theory and using the delay differential equations, we reconsider not only classical business cycles models but the canonical microeconomic theory concerning monopoly and duopoly. It is analytically and numerically demonstrated that any nonlinear economic dynamic models can generate simple dynamics such as a limit cycles if the delays are continuously distributed and complex dynamics involving chaos if the delays are fixed.