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Paper detail

Dynamics of Discrete Time Systems with a Hysteresis Stop Operator

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.

preprint2016arXivOpen access
Maxim ArnoldNikita BegunPavel GurevichEyram KwameHarbir LambaDmitrii Rachinskii
math.DS
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Maxim ArnoldNikita BegunPavel GurevichEyram KwameHarbir LambaDmitrii Rachinskii

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