| Autor: |
Violet Mwaffo, Maurizio Porfiri |
| Jazyk: |
angličtina |
| Rok vydání: |
2016 |
| Předmět: |
|
| Zdroj: |
EAI Endorsed Transactions on Collaborative Computing, Vol 2, Iss 8, Pp 1-8 (2016) |
| Druh dokumentu: |
article |
| ISSN: |
2312-8623 |
| DOI: |
10.4108/eai.3-12-2015.2262389 |
| Popis: |
Most of the mathematical models of collective behavior describe uncertainty in individual decision making through additive uniform noise. However, recent data driven studies on animal locomotion indicate that a number of animal species may be better represented by more complex forms of noise. For example, the popular zebrafish model organism has been found to exhibit a burst-and-coast swimming style with occasional fast and large changes of direction. Based on these observations, the turn rate of this small fish has been modeled as a mean reverting stochastic process with jumps. Here, we consider a new model for collective behavior inspired by the zebrafish animal model. In the vicinity of the synchronized state and for small noise intensity, we establish a closed-form expression for the group polarization and through extensive numerical simulations we validate our findings. These results are expected to aid in the analysis of zebrafish locomotion and contribute a new set of mathematical tools to study collective behavior of networked noisy dynamical systems. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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