Coarse-grained analysis of stochasticity-induced switching between collective motion states.

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.

authors

Kolpas A,Moehlis J,Kevrekidis IG

doi

10.1073/pnas.0608270104

subject

Has Abstract

pub_date

2007-04-03 00:00:00

pages

5931-5

issue

14

eissn

0027-8424

issn

1091-6490

pii

0608270104

journal_volume

104

pub_type

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