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

For citation:

Baranov S. V., Kuznetsov S. P. Hyperchaos in a system with delayed feedback loop based on Q-switched van der Pol oscillator. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 4, pp. 111-120. DOI: 10.18500/0869-6632-2010-18-4-111-120

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Language: 
Russian
Heading: 
Deterministic Chaos
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2010-18-4-111-120

Hyperchaos in a system with delayed feedback loop based on Q-switched van der Pol oscillator

Autors: 
Baranov Stanislav Vladimirovich, Saratov State University
Kuznetsov Sergey Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Abstract: 

We present a way to realize hyperchaotic behavior for a system based on Q-switched van der Pol oscillator with non-linear signal transformation in the delayed feedback loop. The results of numerical studies are discussed: time dependences of variables, attractor portraits, Lyapunov exponents, and power spectrum. 

Key words: 
Van der Pol oscillator
Bernoulli doubling map
Smale–Williams solenoid
hyperbolicity
Reference: 
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Received: 
09.02.2010
Accepted: 
09.02.2010
Published: 
29.10.2010
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