Noise can induce explosions for dissipative solitons.
Noise can induce explosions for dissipative solitons.
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DOI：
10.1103/physreve.85.015205
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
C. Cartes;O. Descalzi;H. Brand
中科院分区：
文献类型：
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作者：
C. Cartes;O. Descalzi;H. Brand
我们研究了噪声对五次复Ginzburg-Landau方程在反常色散区中的空间局域、时间正则态（静止、单频、双频）的影响.我们发现，一个相当小的强度η的噪声是足够的，以达到一个混沌状态与爆炸耗散孤子。这意味着噪声可以在相当大的分叉参数μ值范围内诱发爆炸。发现了三种不同的耗散孤子爆炸混沌路径。作为诊断工具，我们使用的分离来表征混沌行为和能量检测空间定位的爆炸行为作为时间的函数。
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.