Dynamics of discrete time systems with a hysteresis stop operator

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

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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.

Original languageEnglish
Pages (from-to)91-119
Number of pages29
JournalSIAM Journal on Applied Dynamical Systems
Issue number1
StatePublished - 2017

Scopus subject areas

  • Analysis
  • Modelling and Simulation


  • Bifurcation
  • Dynamic stochastic general equilibrium model
  • Piecewise linear system
  • Stop operator


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