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Mahmoud, Gamal M.; Bountis, T.; Al-Kashif, M. A.; Aly, Shaban A.

Dynamical properties and synchronization of complex non-linear equations for detuned lasers. (English) Zbl 1172.34033

Dyn. Syst. 24, No. 1, 63-79 (2009).
A dynamical system modelling detuned lasers is investigated in the present work. Written in real variables, the model is a 5-dimensional nonlinear ordinary differential system. Various properties as: stability of steady states, periodic, quasiperioic and chaotic states are pointed out. Chaos investigation is based on numerical computations of Lyapunov exponents. Chaos synchronization for the system is also considered using the method of global synchronization. The last part of the paper shows that the system can be controlled by adding a suitable complex periodic term.
Reviewer: Gheorghe Tigan (Timisoara)

Cited in 14 Documents

MSC:

34C60 Qualitative investigation and simulation of ordinary differential equation models
78A60 Lasers, masers, optical bistability, nonlinear optics
34C25 Periodic solutions to ordinary differential equations
34C27 Almost and pseudo-almost periodic solutions to ordinary differential equations
34C28 Complex behavior and chaotic systems of ordinary differential equations
34D05 Asymptotic properties of solutions to ordinary differential equations

Keywords:

detuned laser systems; chaos; attractors; synchronization; control; periodic forcing
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\textit{G. M. Mahmoud} et al., Dyn. Syst. 24, No. 1, 63--79 (2009; Zbl 1172.34033)
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