Naimzada Ahmad, Pireddu Marina
Department of Economics, Quantitative Methods and Management, University of Milano-Bicocca, U7 Building, Via Bicocca degli Arcimboldi 8, 20126 Milano, Italy.
Department of Mathematics and Applications, University of Milano-Bicocca, U5 Building, Via Cozzi 55, 20125 Milano, Italy.
Chaos. 2014 Mar;24(1):013142. doi: 10.1063/1.4870015.
In this paper, we show how a rich variety of dynamical behaviors can emerge in the standard Keynesian income-expenditure model when a nonlinearity is introduced, both in the cases with and without endogenous government spending. A specific sigmoidal functional form is used for the adjustment mechanism of income with respect to the excess demand, in order to bound the income variation. With the aid of analytical and numerical tools, we investigate the stability conditions, bifurcations, as well as periodic and chaotic dynamics. Globally, we study multistability phenomena, i.e., the coexistence of different kinds of attractors.
在本文中，我们展示了在引入非线性时，无论有无内生性政府支出，标准凯恩斯收入 - 支出模型中如何出现丰富多样的动态行为。针对收入相对于过度需求的调整机制，使用了一种特定的S形函数形式，以便限制收入变化。借助分析和数值工具，我们研究了稳定性条件、分岔以及周期性和混沌动力学。在全局范围内，我们研究了多重稳定性现象，即不同类型吸引子的共存。
