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

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Kuznetsov A. P., Popova E. S., Seleznev E. P., Stankevich N. V. Doubling and destruction of the tri-frequencies torus in the nonlinear oscillator under quasi-periodic exitation: experiment. Izvestiya VUZ. Applied Nonlinear Dynamics, 2013, vol. 21, iss. 5, pp. 31-39. DOI: 10.18500/0869-6632-2013-21-5-31-39

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2013-21-5-31-39

Doubling and destruction of the tri-frequencies torus in the nonlinear oscillator under quasi-periodic exitation: experiment

Autors: 
Kuznetsov Aleksandr Petrovich, Saratov Branch of V. A. Kotelnikov Institute of Radioengineering and Electronics of the RAS
Popova Elena Sergeevna, Saratov State University
Seleznev Evgeny Petrovich, Saratov Branch of V. A. Kotelnikov Institute of Radioengineering and Electronics of the RAS
Stankevich Nataliya Vladimirovna, HSE University
Abstract: 

In present paper nonlinear oscillator driving by external force in a form of three harmonic signals with irrational ratios of the frequencies and the map of various dynamical regimes on the parameter plane are presented. The feature of tri-frequencies torus doubling and destruction are investigated.

Key words: 
quasi-periodic oscillations
invariant tori
doubling of torus
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Received: 
23.04.2013
Accepted: 
16.07.2013
Published: 
31.12.2013
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