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The dynamics of the NAIRU model with two switching regimes

机译:具有两种切换方式的NAIRU模型的动力学

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摘要

We consider a model of inflation and unemployment proposed in Ferri et al. (JEBO, 2001), in which the dynamics are described by a discontinuous piecewise linear map, made up of two branches. We shall show that the bounded dynamics may be classified in two cases: we may have either regular dynamics with stable cycles of any period or quasiperiodic trajectories, or only chaotic dynamics (pure chaos in which a unique absolutely continuous invariant ergodic measure exists, and structurally stable), in a rich variety of cyclical chaotic intervals. The main results are the analytical formulation of the border collision bifurcation curves, through which we give a complete picture of the possible outcomes of the model.
机译:我们考虑Ferri等人提出的通货膨胀和失业模型。 (JEBO,2001),其中动力学由不连续的分段线性图描述,该图由两个分支组成。我们将证明有界动力学可以分为两种情况:我们可以具有任意周期的稳定周期或准周期轨迹的规则动力学,也可以只有混沌动力学(纯粹的混沌,其中存在唯一的绝对连续不变的遍历测度,并且在结构上稳定),并具有多种周期性混沌区间。主要结果是边界碰撞分叉曲线的解析公式,通过该公式我们可以全面了解模型的可能结果。

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