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- Title
Periodic orbits, basins of attraction and chaotic beats in two coupled Kerr oscillators.
- Authors
Śliwa, I.; Grygiel, K.
- 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 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.
- Subjects
KERR electro-optical effect; NONLINEAR waves; MATHEMATICAL models of optics; POLARIZABILITY (Electricity); CHAOS theory; MATHEMATICAL models
- Publication
Nonlinear Dynamics, 2012, Vol 67, Issue 1, p755
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-011-0024-4