Dynamics of Discrete Time Systems with a Hysteresis Stop Operator
Dynamical Systems
2016-05-04 v2
Abstract
We consider a piecewise linear two-dimensional dynamical system that couples a linear equation with the so-called stop operator. Global dynamics and bifurcations of this system are studied depending on two parameters. The system is motivated by modifications to general-equilibrium macroeconomic models that attempt to capture the frictions and memory-dependence of realistic economic agents.
Keywords
Cite
@article{arxiv.1605.00584,
title = {Dynamics of Discrete Time Systems with a Hysteresis Stop Operator},
author = {Maxim Arnold and Nikita Begun and Pavel Gurevich and Eyram Kwame and Harbir Lamba and Dmitrii Rachinskii},
journal= {arXiv preprint arXiv:1605.00584},
year = {2016}
}