Download:
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Ebeling, Werner; Schweitzer, Frank:
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Swarms of Particle Agents
with Harmonic Interactions
- in:
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Theory in Biosciences 120/3-4 (2001) 207-224
- Abstract:
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Agent-based modeling is a powerful methodology to describe the
occurence of complex behavior in biological systems. The interaction of
a large number of individuals (agents) may for example lead to the
emergence of new forms of collective motion. In this paper, we
investigate a particle-based approach to the coherent motion of a swarm
with parabolic (i.e. harmonic) interactions between the agents. It
is based on generalized Langevin equations for the particle agents, which
take into account (i) energetic conditions for active motion, (ii)
linear attractive forces between each two agents. The complex
collective motion observed can be explained as the result of these
different influences: the active motion of the agents, which is
driven by the energy-take up, would eventually lead to a spatial
dispersion of the swarm, while the mutual interaction of the agents
results in a tendency of spatial concentration. In addition to
particle-based computer simulations, we also provide a mathematical
framework for investigating the collective dynamics.
- Keywords:
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active motion, collective behavior, Brownian particles,
energy supply, swarming
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