Economic Dynamics with time delays and nonlinearities

应用非线性动力学理论和时滞微分方程，我们不仅重新考虑了经典的经济周期模型，而且重新考虑了关于垄断和双寡头垄断的规范微观经济理论。通过分析和数值计算证明了任何非线性经济动力学模型在时滞连续分布的情况下都能产生极限环等简单动力学，在时滞固定的情况下都能产生混沌等复杂动力学.

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.