TY  - JOUR
PY  - 2012//
TI  - Noise can induce explosions for dissipative solitons
JO  - Physical review E: Statistical, nonlinear, and soft matter physics
A1  - Cartes, Carlos
A1  - Descalzi, Orazio
A1  - Brand, Helmut R.
SP  - 015205
EP  - 015205
VL  - 85
IS  - 1-2
N2  - 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>
LA  - en
SN  - 1539-3755
UR  - http://dx.doi.org/
ID  - ref1
ER  -