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Zbl 1079.37024
Peris, Alfredo
Set-valued discrete chaos. (English)
[J] Chaos Solitons Fractals 26, No. 1, 19-23 (2005). ISSN 0960-0779

When studying the chaotic dynamics of individual members, the following natural questions arise: How does individual chaos affect the chaotic behaviour of the ecosystem dynamics as a whole? And vice versa? Here, the author gives a characterization of topological transitivity for collective dynamics in terms of the weakly mixing property for individual dynamics.
[Messoud A. Efendiev (Berlin)]
MSC 2000:
*37D45 Strange attractors, chaotic dynamics
37A25 Ergodicity, mixing, rates of mixing
37N25 Dynamical systems in biology

Keywords: ecosystem dynamics; chaotic dynamics; mixing; topological transitivity

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