Dynamics of Discrete Time Systems with a Hysteresis Stop Operator

作者：Arnold Maxim^*; Begun Nikita; Gurevich Pavel; Kwame Eyram; Lamba Harbir; Rachinskii Dmitrii

来源：SIAM Journal on Applied Dynamical Systems, 2017, 16(1): 91-119.

DOI：10.1137/16M1073522

• stop operator
• piecewise linear system
• bifurcation
• dynamic stochastic general equilibrium model

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.

• 出版日期2017