Weakly Chaotic Population Dynamics in Random Ecological Networks

Details Weakly Chaotic Population Dynamics in Random Ecological Networks Weakly Chaotic Population Dynamics in Random Ecological Networks

1994-08-10

arxiv.org/abs/chao-dyn/9408002v2

Nonlinear Sciences

Chaotic Dynamics

10 pages (Revtex) + 4 figures (postscript)

Scientific paper

Population dynamics in random ecological networks are investigated by analyzing a simple deterministic equation. It is found that a sequence of abrupt changes of populations punctuating quiescent states characterize the long time behavior. An asymptotic analysis is developed by introducing a log-scaled time, and it is shown that such a dynamical process behaves as non-steady weak chaos in which population disturbances grow algebraically in time. Also, some relevance of our study to taxonomic data of biological extinction is mentioned.

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