Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dispersive instabilities in Passively Mode-Locked Integrated
  External-Cavity Surface-Emitting Lasers   We analyze the dynamics of passively mode-locked integrated external-cavity
surface-emitting Lasers (MIXSELs) using a first-principle dynamical model based
upon delay algebraic equations. We show that the third order dispersion
stemming from the lasing micro-cavity induces a train of decaying satellites on
the leading edge of the pulse. Due to the nonlinear interaction with carriers,
these satellites may get amplified thereby destabilizing the mode-locked
states. In the long cavity regime, the localized structures that exist below
the lasing threshold are found to be deeply affected by this instability. As it
originates from a global bifurcation of the saddle-node infinite period type,
we explain why the pulses exhibit behaviors characteristic of excitable
systems. Using the multiple time-scale and the functional mapping methods, we
derive rigorously a master equation for MIXSELs in which third order dispersion
is an essential ingredient. We compare the bifurcation diagram of both models
and assess their good agreement.

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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat