ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Ivanov A. V., Koronovskii A. A., Minjuhin I. M., Yashkov I. A. Definition of the fractal dimension of Saratov ravine network. Izvestiya VUZ. Applied Nonlinear Dynamics, 2006, vol. 14, iss. 2, pp. 64-74. DOI: 10.18500/0869-6632-2006-14-2-64-74

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Language: 
Russian
Heading: 
Nonlinear Dynamics in Action
Article type: 
Article
UDC: 
[530.182:551.4](470.44-25)
DOI: 
10.18500/0869-6632-2006-14-2-64-74

Definition of the fractal dimension of Saratov ravine network

Autors: 
Ivanov Aleksej Viktorovich, Yuri Gagarin State Technical University of Saratov
Koronovskii Aleksei Aleksandrovich, Saratov State University
Minjuhin Igor Mihajlovich, Saratov State University
Yashkov Ivan Aleksandrovich, Saratov State University
Abstract: 

Fractal analysis of natural self-similar structures has been considered. Different approaches to the analysis of abstract mathematical fractals and natural fractals have been described. Numerical method of the fractal dimension calculation has been suggested. This method has been applied both for the model fractal (Sierpinski carpet) and natural fractals ´ (Saratov ravine network). 

Key words: 
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Reference: 
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Received: 
21.03.2006
Accepted: 
21.03.2006
Published: 
31.05.2006
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