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A mathematical model for the dynamics and synchronization of cows

Abstract:

We formulate a mathematical model for the daily activities of a cow (eating, lying down, and standing) in terms of a piecewise linear dynamical system. We analyze the properties of this bovine dynamical system representing the single animal and develop an exact integrative form as a discrete-time mapping. We then couple multiple cow "oscillators" together to study synchrony and cooperation in cattle herds. We comment on the relevant biology and discuss extensions of our model. With this abstr...

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Publication status:
Published

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Publisher copy:
10.1016/j.physd.2011.06.009

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Zoology
Role:
Author
Journal:
PHYSICA D-NONLINEAR PHENOMENA More from this journal
Volume:
240
Issue:
19
Pages:
1497-1509
Publication date:
2011-09-15
DOI:
ISSN:
0167-2789
Language:
English
Keywords:
Pubs id:
pubs:179973
UUID:
uuid:f812c8b2-2e3f-4917-ac32-15f2afc38ac8
Local pid:
pubs:179973
Source identifiers:
179973
Deposit date:
2012-12-19

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