Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2011, Volume 90, Issue 6, Pages 860–874
DOI: https://doi.org/10.4213/mzm8578 (Mi mzm8578) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Inheritance Principle in Dynamical Systems

V. G. Ilichev

Southern Research Center of the Russian Academy of Sciences
Full-text PDF (498 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm8578
Abstract: We suggest an “inheritance principle” according to which local properties are inherited by the global shift mapping. The principle is based on the notions of roughness and semigroup. When analyzing general competition models, key inherited properties (sign-invariant structures etc.) are determined. This approach is used to prove the global stability of periodic modes in a number of nonlinear nonautonomous ecological models.
Keywords: roughness, inheritance, stability, global shift mapping, Poincaré period map, dynamics of interaction of $n$ competitors, Hadamard's lemma, sign-invariant structure, dynamics of ecological communities.
Received: 04.06.2009
Revised: 07.12.2010
English version:
Mathematical Notes, 2011, Volume 90, Issue 6, Pages 838–849
DOI: https://doi.org/10.1134/S000143461111023X
Bibliographic databases:
Document Type: Article
UDC: 517.711.2:577.4
Language: Russian
Citation: V. G. Ilichev, “Inheritance Principle in Dynamical Systems”, Mat. Zametki, 90:6 (2011), 860–874; Math. Notes, 90:6 (2011), 838–849
Citation in format AMSBIB
\Bibitem{Ili11}
\by V.~G.~Ilichev
\paper Inheritance Principle in Dynamical Systems
\jour Mat. Zametki
\yr 2011
\vol 90
\issue 6
\pages 860--874
\mathnet{http://mi.mathnet.ru/mzm8578}
\crossref{https://doi.org/10.4213/mzm8578}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2962961}
\transl
\jour Math. Notes
\yr 2011
\vol 90
\issue 6
\pages 838--849
\crossref{https://doi.org/10.1134/S000143461111023X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000298659000023}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84855163356}
Linking options:
  • https://www.mathnet.ru/eng/mzm8578
  • https://doi.org/10.4213/mzm8578
  • https://www.mathnet.ru/eng/mzm/v90/i6/p860
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025