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.

Авторы
Arnold M.1 , Begun N.2, 3 , Gurevich P. 2, 4 , Kwame E.1 , Lamba H.5 , Rachinskii D.1
Издательство
Society for Industrial and Applied Mathematics Publications
Номер выпуска
1
Язык
Английский
Страницы
91-119
Статус
Опубликовано
Том
16
Год
2017
Организации
  • 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
Ключевые слова
Bifurcation; Dynamic stochastic general equilibrium model; Piecewise linear system; Stop operator
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/6280/