@article{d1f8ecfdea2b425aa000fabbd380f963,
title = "Dynamics of discrete time systems with a hysteresis stop operator",
abstract = "We consider a piecewise linear two-dimensional dynamical system that couples a linear equation with the so-called a hysteresis stop operator. Global dynamics and bifurcations of this system are studied depending on two parameters. More complicated systems involving stop operators may have potential applications in the economic modeling of agents that display frictions and memory dependence.",
keywords = "Bifurcation, Dynamic stochastic general equilibrium model, Piecewise linear system, Stop operator",
author = "Maxim Arnold and Nikita Begun and Pavel Gurevich and Eyram Kwame and Harbir Lamba and Dmitrii Rachinskii",
note = "Funding Information: The second author's work was supported by Saint Petersburg State University (research grant 6.38.223.2014), the Russian Foundation for Basic Research (projects 16-01-00452 and 15-01-03797), and DFG project SFB 910. The work of the third author was supported by the DFG Heisenberg Programme, DFG project SFB 910, and the Ministry of Education and Science of Russian Federation (agreement 02.a03.21.0008). The sixth author's work was supported by NSF grant DMS-1413223. Publisher Copyright: {\textcopyright} 2017 Society for Industrial and Applied Mathematics. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.",
year = "2017",
doi = "10.1137/16M1073522",
language = "English",
volume = "16",
pages = "91--119",
journal = "SIAM Journal on Applied Dynamical Systems",
issn = "1536-0040",
publisher = "Society of Industrial and Applied Mathematics",
number = "1",
}