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

For citation:

Kuznetsov A. S. Parametric generators with chaotic amplitude dynamics corresponding to attractors of smale–williams type. Izvestiya VUZ. Applied Nonlinear Dynamics, 2012, vol. 20, iss. 1, pp. 129-136. DOI: 10.18500/0869-6632-2012-20-1-129-136

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Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2012-20-1-129-136

Parametric generators with chaotic amplitude dynamics corresponding to attractors of smale–williams type

Autors: 
Kuznetsov Aleksej Sergeevich, Saratov State University
Abstract: 

A new approach is considered to design of parametric generators of chaos with hyperbolic attractors on the basis of two alternately excited subsystems, each consisting of three oscillators, one of which plays the role of the pump source. In contrast to previously proposed schemes, the angular variable undergoing a multiple increase over each characteristic period is a quantity characterizing the amplitude ratio of two oscillators, rather then the phase of successive oscillation trains.

Key words: 
Сhaos
Attractor
parametric generator
non-autonomous system
Smale–Williams solenoid
Reference: 
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Received: 
13.02.2012
Accepted: 
13.02.2012
Published: 
20.04.2012
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