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arXiv · 1605.00584

Dynamics of Discrete Time Systems with a Hysteresis Stop Operator

Maxim Arnold·Nikita Begun·Pavel Gurevich·Eyram Kwame·Harbir Lamba·Dmitrii Rachinskii
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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.

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Maxim Arnold, Nikita Begun, Pavel Gurevich, Eyram Kwame, Harbir Lamba, Dmitrii Rachinskii. 2016-05-02. Dynamics of Discrete Time Systems with a Hysteresis Stop Operator. https://arxiv.org/abs/1605.00584

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