2013
DOI: 10.1103/physrevlett.110.268104
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Foraging at the Edge of Chaos: Internal Clock versus External Forcing

Abstract: Activity rhythms in animal groups arise both from external changes in the environment, as well as from internal group dynamics. These cycles are reminiscent of physical and chemical systems with quasiperiodic and even chaotic behavior resulting from ''autocatalytic'' mechanisms. We use nonlinear differential equations to model how the coupling between the self-excitatory interactions of individuals and external forcing can produce four different types of activity rhythms: quasiperiodic, chaotic, phase locked, … Show more

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Cited by 22 publications
(18 citation statements)
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References 27 publications
(25 reference statements)
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“…, the high frequency regime is valid when n 0.5 Hz  . The dependence of the average particle velocity, v , on the driving velocity, z F DC , according to equation (7) is shown schematically in figure 1(a). Equation (7) describes mean particle velocity 'above' and 'below' critical points, with two critical points found for every absolute value of r, in contrast to the DC only case, which has only a single F C .…”
Section: The 'High Frequency' Theorymentioning
confidence: 99%
See 1 more Smart Citation
“…, the high frequency regime is valid when n 0.5 Hz  . The dependence of the average particle velocity, v , on the driving velocity, z F DC , according to equation (7) is shown schematically in figure 1(a). Equation (7) describes mean particle velocity 'above' and 'below' critical points, with two critical points found for every absolute value of r, in contrast to the DC only case, which has only a single F C .…”
Section: The 'High Frequency' Theorymentioning
confidence: 99%
“…The two critical points F CRIT at the ends of resonant step r are found by determining F DC at the condition where the two different solutions in equation (7) coincide,…”
Section: The 'High Frequency' Theorymentioning
confidence: 99%
“…However, temporal autocorrelation in flight activity means that a colony tends to maintain its activity level on the short term regardless the intensity of environmental changes. This dynamical pattern subject to behavioural inertia is analogous to the ''wakingup'' and ''winding down'' dynamics of collective activities whereby the activity increasing phase is steeper than the activity slow-down phase (Nicolis et al 2013). This asymmetrical activity dynamics is typical of collective activity triggered by an external factor (e.g., de Biseau et al 1991;Nicolis et al 2013).…”
Section: Optimal Foraging Vs Behavioural Inertia In Flight Activitymentioning
confidence: 55%
“…This dynamical pattern subject to behavioural inertia is analogous to the ''wakingup'' and ''winding down'' dynamics of collective activities whereby the activity increasing phase is steeper than the activity slow-down phase (Nicolis et al 2013). This asymmetrical activity dynamics is typical of collective activity triggered by an external factor (e.g., de Biseau et al 1991;Nicolis et al 2013). We further suspect that the relative preponderance of optimal foraging over behavioural inertia in determining current flight activity will increase as time lapses after an environmental change (colony translocation in the present study).…”
Section: Optimal Foraging Vs Behavioural Inertia In Flight Activitymentioning
confidence: 99%
“…The sensitivity to others' choice can be represented as the social influence parameter s. As suggested by Ref. [29], we formulate the probability of joining an attraction P a by the analogy with sigmoidal choice rule [33,34,38],…”
Section: Joining Behaviormentioning
confidence: 99%