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Spatiotemporal chaos stimulated by transverse Hopf instabilities in an optical bilayer system
P V Paulau1, I V Babushkin, N A Loiko
1Institute of Physics, Academy of Sciences of Belarus, Scaryna Prospekt 70, 220072 Minsk, Belarus.
Abstract:
We study two-dimensional spatiotemporal dynamics in an optical system of two identical nonlinear films irradiated from both sides by equal plane waves and show that a wide variety of chaotic behaviors can be obtained near the subcritical pitchfork bifurcation point. The regimes arising in the vicinity of asymmetrical steady state depend on stability of the symmetrical steady state at the same driving field, on interactions of Hopf and Turing instabilities occurring at the asymmetrical branch of solutions, and on a transverse wave number of the Hopf instability band center. The wave number is controlled by a phase shift of the field passed between two films, and the relative order of the Turing and Hopf bifurcations is controlled by a diffusion of charge carrier in a semiconductor media. Chaotic oscillating patterns are formed mainly by transverse Hopf modes rising due to a time delay in the system.
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