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

For citation:

Magazinnikov A. L., Poizner B. N., Sabdenov K. O., Timokhin A. M. Three Kerr media in nonlinear Fizeau interferometer: factors effecting on bifurcation behaviour. Izvestiya VUZ. Applied Nonlinear Dynamics, 1998, vol. 6, iss. 5, pp. 56-65. DOI: 10.18500/0869-6632-1998-6-5-56-65

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Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
535:530.162 + 519.713
DOI: 
10.18500/0869-6632-1998-6-5-56-65

Three Kerr media in nonlinear Fizeau interferometer: factors effecting on bifurcation behaviour

Autors: 
Magazinnikov Anton Leonidovich, National Research Tomsk State University
Poizner Boris Nikolaevich, National Research Tomsk State University
Sabdenov Kanysh Orakbaevich, National Research Tomsk State University
Timokhin Anatoly Mikhailovich, National Research Tomsk State University
Abstract: 

Optical formation processes in Fizeau interferometer containing three nonlinear media are defined by three ordinary differential equations involving nonlinearities of the function cos—form. Stability analysis of equations stationary decisions under strong nonlinearities disclosed the presence of many stationary stable and unstablc states. Liapunov’s exponents found by numerical methods proved that different motion types (including dynamical chaos) exist in the optical system. Possibility of the Fizean interferometer nonlinear dynamics control by means of three initial conditions and nonlinear parameters choice is shown.

Key words: 
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Acknowledgments: 
This work was supported in part by the ISSEP Foundation (grant № d98-253).
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Received: 
23.06.1998
Accepted: 
19.10.1998
Published: 
25.02.1999
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