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

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Postnov D. E., Balanov A. G. «Chaotic hierarchy» in the model map. Izvestiya VUZ. Applied Nonlinear Dynamics, 1999, vol. 7, iss. 6, pp. 26-34. DOI: 10.18500/0869-6632-1999-7-6-26-34

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Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-1999-7-6-26-34

«Chaotic hierarchy» in the model map

Autors: 
Postnov Dmitrij Engelevich, Saratov State University
Balanov Aleksandr Gennadevich, Loughborough University
Abstract: 

We investigate the model that describes dynamics of global coupled oscillators. We demonstrate how the Lyapunov dimension grows with increasing numbers of interacting units. Development of additional unstable directions of chaotic attractor is traced both ш the spectrum of Lyapunov exponents and in transformation of phase portraits.

Key words: 
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Acknowledgments: 
The work was supported by the grant of RFBR № 99-02-17732.
Reference: 
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Received: 
22.04.1999
Accepted: 
09.11.1999
Published: 
01.02.2000
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