Leadership in animal group motion : a bifurcation analysis

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2006
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Nabet, Benjamin
Leonard, Naomi E.
Levin, Simon A.
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CAO, Ming, ed., A. Stephen MORSE, ed., Brian D. O. ANDERSON, ed.. Proceedings of the 17th International Symposium on Mathematical Theory Networks Systems. 2006, FrA08.3
Zusammenfassung

We present a low-dimensional, continuous model of a multi-agent system motivated by simulationstudies on dynamics of decision making in animal groups in motion. Each individual moves at constant speed inthe plane and adjusts its heading in response to relative headings of others in the population. Two subgroupsof the population are informed such that individuals in each subgroup have a preferred direction of motion.The model exhibits stable solutions corresponding to compromise by individuals with conflicting preferences.We study the global phase space for the proposed model by computing equilibria and proving stability andbifurcations.

Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
570 Biowissenschaften, Biologie
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Coordinated control, Biological systems analysis, Stability analyisis
Konferenz
17th International Symposium on Mathematical Theory Networks Systems, 24. Juli 2006 - 28. Juli 2006, Kyoto
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Zitieren
ISO 690NABET, Benjamin, Naomi E. LEONARD, Iain D. COUZIN, Simon A. LEVIN, 2006. Leadership in animal group motion : a bifurcation analysis. 17th International Symposium on Mathematical Theory Networks Systems. Kyoto, 24. Juli 2006 - 28. Juli 2006. In: CAO, Ming, ed., A. Stephen MORSE, ed., Brian D. O. ANDERSON, ed.. Proceedings of the 17th International Symposium on Mathematical Theory Networks Systems. 2006, FrA08.3
BibTex
@inproceedings{Nabet2006Leade-57676,
  year={2006},
  title={Leadership in animal group motion : a bifurcation analysis},
  booktitle={Proceedings of the 17th International Symposium on Mathematical Theory Networks Systems},
  editor={Cao, Ming and Morse, A. Stephen and Anderson, Brian D. O.},
  author={Nabet, Benjamin and Leonard, Naomi E. and Couzin, Iain D. and Levin, Simon A.},
  note={Article Number: FrA08.3}
}
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