2002
DOI: 10.1364/josab.19.000487
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Dissipative solitons and their critical slowing down near a supercritical bifurcation

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Cited by 50 publications
(8 citation statements)
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“…Examples include pulse generation by passively mode-locked soliton lasers [4], signal transmission in all-optical communication lines [5], travelling waves in binary fluid mixtures [6], and also pattern formation in many other physical systems [7]. Complicated patterns consist of simpler localized solutions like fronts, pulses, sources and sinks [8].…”
mentioning
confidence: 99%
“…Examples include pulse generation by passively mode-locked soliton lasers [4], signal transmission in all-optical communication lines [5], travelling waves in binary fluid mixtures [6], and also pattern formation in many other physical systems [7]. Complicated patterns consist of simpler localized solutions like fronts, pulses, sources and sinks [8].…”
mentioning
confidence: 99%
“…Importantly, the auxiliary parameter G increases with the number of choices M, see (49). Therefore, the question arises how does the time T depend on the factor G. Differentiating T with respect to G yields…”
Section: Discussionmentioning
confidence: 99%
“…In experimental studies, such critical phenomena have been found in the inanimate world and the life sciences. For example, critical phenomena have been observed during the emergence of roll patterns in fluid layers heated from below [46][47][48] and in optical systems in which so-called dissipative solitons emerge due to self-organization [49]. Likewise, they have been found in experiments on human motor coordination, in which participants switched between two distinct motor coordination modes [50][51][52][53][54][55].…”
Section: Phenomena/subtopicsmentioning
confidence: 94%
“…The complex Ginzburg-Landau equation (CGLE) is a general model for dissipative systems, describing a vast variety of nonlinear phenomena in physics [11]. In particular, it describes pulse generation by passively mode-locked soliton lasers [12] and signal transmission in all-optical communication lines [13]. In dimensionless form, the CGLE is [7,14]…”
Section: Introductionmentioning
confidence: 99%