Geodesic
Finite-dimensional models of diffusion chaos
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 5, pp. 860-875 Cet article a éte moissonné depuis la source Math-Net.Ru

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Some parabolic systems of the reaction-diffusion type exhibit the phenomenon of diffusion chaos. Specifically, when the diffusivities decrease proportionally, while the other parameters of a system remain fixed, the system exhibits a chaotic attractor whose dimension increases indefinitely. Various finite-dimensional models of diffusion chaos are considered that represent chains of coupled ordinary differential equations and similar chains of discrete mappings. A numerical analysis suggests that these chains with suitably chosen parameters exhibit chaotic attractors of arbitrarily high dimensions. 
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S. D. Glyzin; A. Yu. Kolesov; N. Kh. Rozov. Finite-dimensional models of diffusion chaos. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 5, pp. 860-875. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_5_a6/

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