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

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Izmailov I. V., Ljachin A. V., Poizner B. N., Shergin D. A. Simulation of field nonlinear phase shift dynamics in ring interferometer in case of two-frequency influence. Izvestiya VUZ. Applied Nonlinear Dynamics, 2005, vol. 13, iss. 1, pp. 137-151. DOI: 10.18500/0869-6632-2005-13-1-137-151

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535:530.182 + 519.713

Simulation of field nonlinear phase shift dynamics in ring interferometer in case of two-frequency influence

Izmailov Igor Valerevich, National Research Tomsk State University
Ljachin Aleksandr Vladimirovich, National Research Tomsk State University
Poizner Boris Nikolaevich, National Research Tomsk State University
Shergin Denis Aleksandrovich, National Research Tomsk State University

Families of initial-final maps, bifucation lines, maps of Lyapunov’s characterictic exponents and fractal dimentionality D0 are constructed for a model of nonlinear pphase shift dynamics for ont- and two-frequency field in a ring interferometer. The influence of a spectrum form of two-frequency radiation to a structure of mentioned maps is clarified.Ways of maps quantitative analysis are suggested and realized. Two languages of nonlinear dynamics description in the ring interferometer are compared: with the help of ordinary differential equations and of the discrete map. The peculiarity of spatial deterministic chaos was pointed: this state is stable to initial-conditions variation but it is not stable to parameters variation of the model.

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