Geodesic
Diffusion chaos and its invariant numerical characteristics
Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 1, pp. 10-25

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For distributed evolutionary dynamical systems of the "reaction–diffusion" and "reaction–diffusion–advec-tion" types, we analyze the behavior of invariant numerical characteristics of the attractor as the diffusion coefficients decrease. We consider the phenomenon of multimode diffusion chaos, one of whose signatures is an increase in the Lyapunov dimensions of the attractor. For several examples, we perform broad numerical experiments illustrating this phenomenon.
Mots-clés : reaction–diffusion system, diffusion chaos
Keywords: attractor, Lyapunov dimension. 
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     author = {S. D. Glyzin and A. Yu. Kolesov and N. Kh. Rozov},
     title = {Diffusion chaos and its invariant numerical characteristics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2020_203_1_a1/}
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S. D. Glyzin; A. Yu. Kolesov; N. Kh. Rozov. Diffusion chaos and its invariant numerical characteristics. Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 1, pp. 10-25. http://geodesic.mathdoc.fr/item/TMF_2020_203_1_a1/