Influence of noise and time delay on the collective behavior of self-propelled particles system
Duration: 49 mins 6 secs
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Description: |
Sun, Y (Fudan University)
Tuesday 9th February 2016 - 15:00 to 16:00 |
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Created: | 2016-02-18 14:58 |
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Collection: | Stochastic Dynamical Systems in Biology: Numerical Methods and Applications |
Publisher: | Isaac Newton Institute |
Copyright: | Sun, Y |
Language: | eng (English) |
Distribution: | World (downloadable) |
Explicit content: | No |
Aspect Ratio: | 16:9 |
Screencast: | No |
Bumper: | UCS Default |
Trailer: | UCS Default |
Abstract: | Collective animal behaviour is often modelled by individual-based models which assume that each individual alters its behaviour according to signals in its neighborhoods. Basic self-propelled particle models can successfully explain some experimentally observed group-level properties, but additional conjectures have to be hypothesized at the individual-level to fully explain experimental data . In this talk, we will discuss the influence of time delay and noise on the collective behavior of self-propelled particles system. Firstly, we consider the directional switching of a self-driven particle model with constant, time-varying and random delay times, respectively. The presented analytical and numerical results have demonstrated that time delay can facilitate coherence in self-driven interacting particle systems. Then we discuss the effect of noise on the convergence speed of a stochastic Cucker-Smale system. We show that noise can accelerate the emergence of flocking. |
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