Russian Journal of Nonlinear Dynamics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Rus. J. Nonlin. Dyn.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Russian Journal of Nonlinear Dynamics, 2024, Volume 20, Number 4, Pages 565–579
DOI: https://doi.org/10.20537/nd241105 (Mi nd911) 		 
On Motions of a Dynamical System with a Relay Hysteresis

A. M. Kamachkin, D. K. Potapov, V. V. Yevstafyeva

Saint Petersburg State University, nab. Universitetskaya 7/9, St. Petersburg, 199034 Russia
Full-text PDF (356 kB)
References:
PDF
HTML
DOI: https://doi.org/10.20537/nd241105
Abstract: We study an $n$-dimensional system of ordinary differential equations (ODEs) with a relay nonsymmetric hysteresis. Conditions under which the system of ODEs governs a dynamical system are specified. We obtain sufficient conditions for motions of the system to be recurrent or periodic. Also, we consider various configurations for the closed phase trajectories (orbits) of the motions as well as properties of fixed (switching) points on these trajectories. An example for the system of dimension 3 is given to support the obtained results.
Keywords: dynamical system, relay hysteresis, recurrent motion, periodic motion, closed phase trajectory, switching points, point mapping
Funding agency Grant number
Russian Science Foundation 23-21-00069
This work was supported by the Russian Science Foundation (project no. 23-21-00069, https://rscf.ru/en/project/23-21-00069/).
Received: 26.10.2023
Accepted: 02.11.2024
Document Type: Article
MSC: 34C25, 34C55, 93C15
Language: English
Citation: A. M. Kamachkin, D. K. Potapov, V. V. Yevstafyeva, “On Motions of a Dynamical System with a Relay Hysteresis”, Rus. J. Nonlin. Dyn., 20:4 (2024), 565–579
Citation in format AMSBIB
\Bibitem{KamPotYev24}
\by A. M. Kamachkin, D. K. Potapov, V. V. Yevstafyeva
\paper On Motions of a Dynamical System with a Relay Hysteresis
\jour Rus. J. Nonlin. Dyn.
\yr 2024
\vol 20
\issue 4
\pages 565--579
\mathnet{http://mi.mathnet.ru/nd911}
\crossref{https://doi.org/10.20537/nd241105}
Linking options:
  • https://www.mathnet.ru/eng/nd911
  • https://www.mathnet.ru/eng/nd/v20/i4/p565
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Russian Journal of Nonlinear Dynamics
    Statistics & downloads:
    Abstract page:169
    Full-text PDF :57
    References:45
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025