Regular and Chaotic 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


Regul. Chaotic Dyn.:
Year:
Volume:
Issue:
Page:
Find




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

Regular and Chaotic Dynamics, 2001, Volume 6, Issue 2, Pages 215–226
DOI: https://doi.org/10.1070/RD2001v006n02ABEH000172 (Mi rcd840) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Arbitrariness in Defining Fractal Basins: Relations Between Open and Closed Systems

A. E. Motter, P. S. Letelier

Departamento de Matemática Aplicada — IMECC, Universidade Estadual de Campinas, Unicamp, 13083-970 Campinas, SP, Brazil
Citations (1)
DOI: https://doi.org/10.1070/RD2001v006n02ABEH000172
Abstract: A discussion about dependences of the (fractal) basin boundary dimension with the definition of the basins and the size of the exits is presented for systems with one or more exits. In particular, it is shown that the dimension is largely independent of the choice of the basins, and decreases with the size of the exits. Considering the limit of small exits, a strong relation between fractals in exit systems and chaos in closed systems is found. The discussion is illustrated by simple examples of one-dimensional maps.
Received: 06.03.2001
Bibliographic databases:
Document Type: Article
MSC: 28A80
Language: English
Citation: A. E. Motter, P. S. Letelier, “Arbitrariness in Defining Fractal Basins: Relations Between Open and Closed Systems”, Regul. Chaotic Dyn., 6:2 (2001), 215–226
Citation in format AMSBIB
\Bibitem{MotLet01}
\by A. E. Motter, P. S. Letelier
\paper Arbitrariness in Defining Fractal Basins: Relations Between Open and Closed Systems
\jour Regul. Chaotic Dyn.
\yr 2001
\vol 6
\issue 2
\pages 215--226
\mathnet{http://mi.mathnet.ru/rcd840}
\crossref{https://doi.org/10.1070/RD2001v006n02ABEH000172}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1843666}
\zmath{https://zbmath.org/?q=an:0990.28008}
Linking options:
  • https://www.mathnet.ru/eng/rcd840
  • https://www.mathnet.ru/eng/rcd/v6/i2/p215
    • 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
    Statistics & downloads:
    Abstract page:50
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024