Abstract:
:A single animal group can display different types of collective motion at different times. For a one-dimensional individual-based model of self-organizing group formation, we show that repeated switching between distinct ordered collective states can occur entirely because of stochastic effects. We introduce a framework for the coarse-grained, computer-assisted analysis of such stochasticity-induced switching in animal groups. This involves the characterization of the behavior of the system with a single dynamically meaningful "coarse observable" whose dynamics are described by an effective Fokker-Planck equation. A "lifting" procedure is presented, which enables efficient estimation of the necessary macroscopic quantities for this description through short bursts of appropriately initialized computations. This leads to the construction of an effective potential, which is used to locate metastable collective states, and their parametric dependence, as well as estimate mean switching times.
journal_name
Proc Natl Acad Sci U S Aauthors
Kolpas A,Moehlis J,Kevrekidis IGdoi
10.1073/pnas.0608270104subject
Has Abstractpub_date
2007-04-03 00:00:00pages
5931-5issue
14eissn
0027-8424issn
1091-6490pii
0608270104journal_volume
104pub_type
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