Analyzer · Sparsifire

Analyze how specific documents activate the features of the SAE. Select a dataset, a run and a document to begin.

Dataset

SAE Model

Document

Active Features

1503

MIN ACTIVATION

0.0

Details List

#1872 Feature 1872

#2012 Feature 2012

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#1358 Feature 1358

#184 Feature 184

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#901 Feature 901

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#2713 Feature 2713

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#418 Feature 418

#386 Feature 386

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#351 Nanomaterial Synthesis and Properties

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#1454 Feature 1454

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#178 Feature 178

#2459 Feature 2459

#2007 Developmental Disparities & Intervention

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#1506 Justification/Rationale for Actions

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Document Content

Stable solitons of quadratic ginzburg-landau equations
We present a physical model based on coupled Ginzburg-Landau equations that supports stable temporal solitary-wave pulses. The system consists of two parallel-coupled cores, one having a quadratic nonlinearity, the other one being effectively linear. The former core is active, with bandwidth-limited amplification built into it, while the latter core has only losses. Parameters of the model can be easily selected so that the zero background is stable. The model has nongeneric exact analytical solutions in the form of solitary pulses ("dissipative solitons"). Direct numerical simulations, using these exact solutions as initial configurations, show that they are unstable; however, the evolution initiated by the exact unstable solitons ends up with nontrivial stable localized pulses, which are very robust attractors. Direct simulations also demonstrate that the presence of group-velocity mismatch (walkoff) between the two harmonics in the active core makes the pulses move at a constant velocity, but does not destabilize them.

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