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Dynamics of a two-mode erbium-doped fiber laser

The dynamics of a two-mode model of the erbium-doped fiber laser is analytically and numerically investigated. Apart from the intrinsic nonlinearity of a two-mode laser, the existence of erbium ion pairs introduces a supplementary nonlinearity with a saturable absorber action. The laser is described through six coupled differential equations. Steady states are analyzed, their dependence on the laser parameters, and the onset of the self-pulsing and chaotic states is pursued.