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