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


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Kruglov V. P. Attractor of smale–williams type in a ring system with periodic frequency modulation. Izvestiya VUZ. Applied Nonlinear Dynamics, 2012, vol. 20, iss. 1, pp. 124-128. DOI: 10.18500/0869-6632-2012-20-1-124-128

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Language: 
Russian
Article type: 
Article
UDC: 
517.9

Attractor of smale–williams type in a ring system with periodic frequency modulation

Autors: 
Kruglov Vjacheslav Pavlovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Abstract: 

A scheme of circular nonautonomous system is introduced, which is supposed to generate hyperbolic chaos. Its operation is based on doubling of phase on complete cycle of the signal transmission. This is a criterion for the Smale–Williams attractor to exist. The performance is realized due to smooth periodic variation of natural frequency in one of the two oscillatory subsystems, which compose the ring, from reference value to the doubled one.

Reference: 
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Received: 
13.02.2012
Accepted: 
13.02.2012
Published: 
20.04.2012
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