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 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. © 2017 Society for Industrial and Applied Mathematics.

Authors
Arnold M.1 , Begun N.2, 3 , Gurevich P. 2, 4 , Kwame E.1 , Lamba H.5 , Rachinskii D.1
Journal
SIAM Journal on Applied Dynamical Systems
Publisher
Society for Industrial and Applied Mathematics Publications
Number of issue
1
Language
English
Pages
91-119
Status
Published
Link
External link
DOI
10.1137/16M1073522
Volume
16
Year
2017
Organizations
  • 1 University of Texas at Dallas, Richardson, TX, United States
  • 2 Institute of Mathematics, Free University of Berlin, Berlin, 14195, Germany
  • 3 Saint Petersburg State University, Russian Federation
  • 4 Peoples' Friendship University of Russia, Russian Federation
  • 5 Department of Mathematical Sciences, George Mason University, Fairfax, VA 22030, United States
Keywords
Bifurcation; Dynamic stochastic general equilibrium model; Piecewise linear system; Stop operator
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/6280/
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