Nonlinear Phenomena in Complex Systems, 2016, Vol.19, No.4, pp.387

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2016, Vol.19, No.4, pp.387 - 394

Coexistence of Spiking and Mixed-mode Oscillations in CO₂ Laser with Saturable Absorber
Elena V. Grigorieva and Sergey A. Kaschenko

We analyze the dynamics of CO₂ laser with a saturable absorber on the base of a model for three- and two-level active and passive media, respectively. This differential model is asymptotically reduced to a discrete one-dimensional map. The fixed point of such a map corresponds to stable periodic spikes and determines their characteristics: period and the energy. In addition, we describe the set of initial conditions which lead to spiking. With initial conditions beyond this set, the system generates mixed-mode oscillations consisting of both small-amplitude oscillations and large-amplitude bursts. Switching between coexisting regimes is discussed

Key words: laser dynamics, relaxation oscillations, asymptotic analysis

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