@article{ref1,
title="Noise can induce explosions for dissipative solitons",
journal="Physical review E: Statistical, nonlinear, and soft matter physics",
year="2012",
author="Cartes, Carlos and Descalzi, Orazio and Brand, Helmut R.",
volume="85",
number="1-2",
pages="015205-015205",
abstract="We study the influence of noise on the spatially localized, temporally regular states (stationary, one frequency, two frequencies) in the regime of anomalous dispersion for the cubic-quintic complex Ginzburg-Landau equation as a function of the bifurcation parameter. We find that noise of a fairly small strength η is sufficient to reach a chaotic state with exploding dissipative solitons. That means that noise can induce explosions over a fairly large range of values of the bifurcation parameter μ. Three different routes to chaos with exploding dissipative solitons are found as a function of μ. As diagnostic tools we use the separation to characterize chaotic behavior and the energy to detect spatially localized explosive behavior as a function of time.<p /> <p>Language: en</p>",
language="en",
issn="1539-3755",
doi="",
url="http://dx.doi.org/"
}