Types I and II intermittencies in a cascade laser model

Valcárcel, Germán J. de; Roldán, Eugenio; Espinosa, V.; Vilaseca, R.

doi:10.1016/0375-9601(95)00628-g

Cited by 13 publications

(5 citation statements)

References 24 publications

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“…Intermittency is among the universal mechanisms that produce chaos from a periodic orbit in a continuous way [32] and has been reported in various fields, including coordination of muscular systems [33,34], chemical kinetics [35,36], laser models [37], and fluid dynamics [38]. In ecology, flow intermittency regarding biodiversity determination in stream ecosystems has been recently investigated [39,40].…”

Section: Introductionmentioning

confidence: 99%

One and two-individual movements of fish after chemical exposure

Quach

Chon

Kim

et al. 2013

Journal of the Korean Physical Society

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Movement behavior of an indicator species, zebrafish (Danio rerio), was analyzed with one-and two-12 individual groups before and after treatment with a toxic chemical, formaldehyde, at a low 13 concentration (1 ppm). After the boundary area had been determined based on experimental data, 14 intermittency was defined as the probability distributions of the shadowing time during which data 15 were above a pre-determined threshold and were obtained from experimental time-series data on the 16 forces and the inter-distances for one and two individuals. Overall intermittencies were similar in the 17 boundary and central areas. However, the intermittencies were remarkably different between the one-18 and the two-individual groups: the single line was used to fit the data for the one-individual group 19 whereas two phases were observed with breakpoints (approximately 10 seconds in logarithm) in the 20 exponential fitting curves for the two-individual group. A difference in the probability distributions of 21 the shadowing time was observed "before" and "after" treatment for different areas. Intermittency 22 patterns before and after treatment were contrasted in the center for the one-individual group whereas 23 2 the difference was observed in the boundary for two-individual group. The intermittencies for the inter-

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Section: Introductionmentioning

confidence: 99%

One and two-individual movements of fish after chemical exposure

Quach

Chon

Kim

et al. 2013

Journal of the Korean Physical Society

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“…Hence, the distribution of long laminar phases follows the theoretically predicted exponential form P(/) exp(-2#/) [17]. This is in contrast to previous investigations [20][21][22]26] where the reinjection process has been very nonuniform. At the same time, these investigations have dealt with systems of higher specificity, and their value as illustrative examples is correspondingly smaller.…”

Section: Discussionmentioning

confidence: 79%

Type‐II intermittency in a class of two coupled one‐dimensional maps

Laugesen

Mosekilde

Bountis

et al. 2000

Discrete Dynamics in Nature and Society

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The paper shows how intermittency behavior of type-II can arise from the coupling of two one-dimensional maps, each exhibiting type-III intermittency. This change in dynamics occurs through the replacement of a subcritical period-doubling bifurcation in the individual map by a subcritical Hopf bifurcation in the coupled system. A variety of different parameter combinations are considered, and the statistics for the distribution of laminar phases is worked out. The results comply well with theoretical predictions. Provided that the reinjection process is reasonably uniform in two dimensions, the transition to type-II intermittency leads directly to higher order chaos. Hence, this transition represents a universal route to hyperchaos

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“…At small shadowing time, there are universal algebraic scaling behavior with exponent −3/2 in log-log plot, however the intermittencies at large shadowing time become non-universal (Do et al, 2003;Hirsch et al, 1982). Intermittency has been reported in various fields, including coordination of muscular systems (Fernando and Lawrence, 1968;Gawthrop et al, 2011), chemical kinetics (De la Fuente et al, 1996;Pomeau et al, 1981), laser models (de Valcárcel et al, 1995), and fluid dynamics (Pomeau and Manneville, 1980).…”

Section: Intermittency Analysismentioning

confidence: 96%