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

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Pavlov A. N., Sosnovtseva O. V., Ziganshin A. R. Multifractal analysis of chaotic dynamics in interacting systems. Izvestiya VUZ. Applied Nonlinear Dynamics, 2003, vol. 11, iss. 2, pp. 39-54. DOI: 10.18500/0869-6632-2003-11-2-39-54

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Russian
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Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2003-11-2-39-54

Multifractal analysis of chaotic dynamics in interacting systems

Autors: 
Pavlov Aleksej Nikolaevich, Saratov State University
Sosnovtseva Olga Vladimirovna, Danmarks Tekniske Universitet
Ziganshin Amir Rustamovich, Saratov State University
Abstract: 

We consider methods allowing to study multifractality апа scaling in application to the phenomenon of chaotic synchronization in two coupled oscillatory systems. Using DFA and WTMM techniques we analyze the structure of return time sequences for different model systems and for experimental data. Typical effects caused by the synchronization of chaotic oscillations аге discussed in terms оf multifractal formalism.

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Acknowledgments: 
The work was also partially supported by INTAS (01-2061) and RFBR (01-02-16709)
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Received: 
31.01.2003
Accepted: 
10.02.2003
Available online: 
16.11.2023
Published: 
30.05.2003
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