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

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Balyakin A. A. Investigation of chaotic dynamics of a nonlinear ring cavity under two-frequency external driving. Izvestiya VUZ. Applied Nonlinear Dynamics, 2003, vol. 11, iss. 4, pp. 3-15. DOI: 10.18500/0869-6632-2003-11-4-3-15

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Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
537.86/87:530.182
DOI: 
10.18500/0869-6632-2003-11-4-3-15

Investigation of chaotic dynamics of a nonlinear ring cavity under two-frequency external driving

Autors: 
Balyakin Artem Aleksandrovich, Saratov State University
Abstract: 

Complex dynamics of a nonlinear ring cavity filled by medium with cubic phase nonlinearity under multi-frequency driving is considered. System оf coupled Ikeda maps to describe the dynamics of spectral components was derived. Regimes of steady-state oscillations and their stability conditions are analyzed. The results оf numerical simulation of transition to chaos in the case of two-frequency driving are presented.  

Key words: 
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Acknowledgments: 
The author is grateful to N.M. Ryskin for his useful advice and discussion results of the work. This work was supported by grants CRDF (Award No. REC-006 ), Russian Foundation for Basic Research (Project No. 03-02-06257).
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Received: 
11.02.2003
Accepted: 
31.08.2003
Available online: 
29.11.2023
Published: 
31.12.2003
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