The emergence of waves in random discrete systems.
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ABSTRACT:
SUBMITTER: Pickton J
PROVIDER: S-EPMC5431357 | biostudies-literature | 2016 Dec
REPOSITORIES: biostudies-literature
Publications
The emergence of waves in random discrete systems.
Pickton John J Hopcraft Keith Iain KI Jakeman Eric E
Scientific reports 20161223 1
Essential criteria for the emergence of wave-like manifestations occurring in an entirely discrete system are identified using a simple model for the movement of particles through a network. The dynamics are entirely stochastic and memoryless involving a birth-death-migration process. The requirements are that the network should have at least three nodes, that migration should have a directional bias, and that the particle dynamics have a non-local dependence. Well defined bifurcations mark tran ...[more]
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