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

For citation:

Izmailov I. V., Kalaida V. T., Magazinnikov A. L., Poizner B. N. Bifurcations in the point model of ring interferometer with delay and field turn. Izvestiya VUZ. Applied Nonlinear Dynamics, 1999, vol. 7, iss. 5, pp. 47-59. DOI: 10.18500/0869-6632-1999-7-5-47-59

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Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
535:530.182+519.713
DOI: 
10.18500/0869-6632-1999-7-5-47-59

Bifurcations in the point model of ring interferometer with delay and field turn

Autors: 
Izmailov Igor Valerevich, National Research Tomsk State University
Kalaida Vladimir Timofeevich, National Research Tomsk State University
Magazinnikov Anton Leonidovich, National Research Tomsk State University
Poizner Boris Nikolaevich, National Research Tomsk State University
Abstract: 

System of the ordinary differential equations with retarded argument and nonlinearity in the form of cosine function serves as the mathematical model of optical structures generation in nonlinear ring interferometer. Computation of stability domains boundaries (in plane: delay — nonlinearity) extended of Ikeda results is performed. Based on the bifurcation diagrams, phase patterns, Fourier spectrums analysis of dynamics features under various conditions is realized. Simple way of the bifurcation diagrams and phase patterns joint interpretation is showed. Types of bifurcations are identified depending on nonlinearity and turn of optical field under delay in the interferometer.

Key words: 
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Reference: 
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Received: 
25.06.1999
Accepted: 
11.10.1999
Published: 
01.12.1999
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