Modeling of fractal data structures

Execution of iterated procedure is analyzed for constructing a fractal set. The procedure is proven convergent, and fractality of the resulting set is demonstrated. Following the research outcomes, it is proposed to modify the mode of the procedure execution.

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Published inAutomation and remote control Vol. 73; no. 2; pp. 381 - 385
Main Authors Bukhovets, A. G., Bukhovets, E. A.
Format Journal Article
LanguageEnglish
Published Dordrecht SP MAIK Nauka/Interperiodica 01.02.2012
Subjects
CAE) and Design
Calculus of Variations and Optimal Control; Optimization
Computer-Aided Engineering (CAD
Control
Control Systems and Information Technologies
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Robotics
Systems Theory
Convergent Series
State Agrarian
Fractal Structure
Characteristic Space
Remote Control
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Abstract Execution of iterated procedure is analyzed for constructing a fractal set. The procedure is proven convergent, and fractality of the resulting set is demonstrated. Following the research outcomes, it is proposed to modify the mode of the procedure execution.
AbstractList Execution of iterated procedure is analyzed for constructing a fractal set. The procedure is proven convergent, and fractality of the resulting set is demonstrated. Following the research outcomes, it is proposed to modify the mode of the procedure execution.
Author Bukhovets, E. A.
Bukhovets, A. G.
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Cites_doi 10.4213/tvp508
10.1007/978-1-4757-2763-0
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Issue 2
Keywords Convergent Series
State Agrarian
Fractal Structure
Characteristic Space
Remote Control
Language English
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References Ryabinin (CR4) 2000; 45
Bukhovets (CR1) 2005
Mandelbrot (CR2) 1997
Crownover (CR3) 1995
B.B. Mandelbrot (9647_CR2) 1997
R.M. Crownover (9647_CR3) 1995
A.A. Ryabinin (9647_CR4) 2000; 45
A.G. Bukhovets (9647_CR1) 2005
References_xml – year: 1995
  ident: CR3
  publication-title: Introduction to Fractals and Chaos
  contributor:
    fullname: Crownover
– start-page: 448
  year: 2005
  end-page: 453
  ident: CR1
  article-title: Modeling of Fractal Data Structures in Classification Problems
  publication-title: Tr. mezhd. konf. “Ekonomicheskoe prognozirovanie: modeli i metody”
  contributor:
    fullname: Bukhovets
– volume: 45
  start-page: 773
  issue: 4
  year: 2000
  end-page: 776
  ident: CR4
  article-title: On Characteristic Functions of the Probability Distributions of Sums with a Random Distribution of Signs
  publication-title: Theor. Veroyat. Primen.
  contributor:
    fullname: Ryabinin
– year: 1997
  ident: CR2
  publication-title: Fractales, hasard et finance
  contributor:
    fullname: Mandelbrot
– volume: 45
  start-page: 773
  issue: 4
  year: 2000
  ident: 9647_CR4
  publication-title: Theor. Veroyat. Primen.
  doi: 10.4213/tvp508
  contributor:
    fullname: A.A. Ryabinin
– volume-title: Fractales, hasard et finance
  year: 1997
  ident: 9647_CR2
  doi: 10.1007/978-1-4757-2763-0
  contributor:
    fullname: B.B. Mandelbrot
– start-page: 448
  volume-title: Tr. mezhd. konf. “Ekonomicheskoe prognozirovanie: modeli i metody”
  year: 2005
  ident: 9647_CR1
  contributor:
    fullname: A.G. Bukhovets
– volume-title: Introduction to Fractals and Chaos
  year: 1995
  ident: 9647_CR3
  contributor:
    fullname: R.M. Crownover
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SubjectTerms CAE) and Design
Calculus of Variations and Optimal Control; Optimization
Computer-Aided Engineering (CAD
Control
Control Systems and Information Technologies
Mathematics
Mathematics and Statistics
Mechanical Engineering
Mechatronics
Robotics
Systems Theory
Title Modeling of fractal data structures
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Volume 73
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