Periodic orbits,basins of attraction and chaotic beats in two coupled Kerr oscillators |
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Authors: | I Śliwa K Grygiel |
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Institution: | 1.Theory of Nanostructures Laboratory, Institute of Molecular Physics,Polish Academy of Sciences,Poznań,Poland;2.Nonlinear Optics Division, Department of Physics,A. Mickiewicz University,Poznań,Poland |
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Abstract: | Kerr oscillators are model systems which have practical applications in nonlinear optics. Optical Kerr effect, i.e., interaction
of optical waves with nonlinear medium with polarizability χ
(3) is the basic phenomenon needed to explain, for example, the process of light transmission in fibers and optical couplers.
In this paper, we analyze the two Kerr oscillators coupler and we show that there is a possibility to control the dynamics
of this system, especially by switching its dynamics from periodic to chaotic motion and vice versa. Moreover, the switching
between two different stable periodic states is investigated. The stability of the system is described by the so-called maps
of Lyapunov exponents in parametric spaces. Comparison of basins of attractions between two Kerr couplers and a single Kerr
system is also presented. |
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Keywords: | |
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