Dimensional Characteristics of Diffusion Chaos
Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 1, pp. 30-51
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The phenomenon of multimode diffusion chaos is considered. For a number of examples it is shown that the Lyapunov dimension of the attractor of a distributed dynamical system increases as the diffusion coefficient tends to 0.
Mots-clés :
diffusion chaos, bifurcation
Keywords: attractor, Lyapunov dimension, Ginzburg–Landau equation, Landau–Sell scenario.
Keywords: attractor, Lyapunov dimension, Ginzburg–Landau equation, Landau–Sell scenario.
@article{MAIS_2013_20_1_a2,
author = {S. D. Glyzin},
title = {Dimensional {Characteristics} of {Diffusion} {Chaos}},
journal = {Modelirovanie i analiz informacionnyh sistem},
pages = {30--51},
publisher = {mathdoc},
volume = {20},
number = {1},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MAIS_2013_20_1_a2/}
}
S. D. Glyzin. Dimensional Characteristics of Diffusion Chaos. Modelirovanie i analiz informacionnyh sistem, Tome 20 (2013) no. 1, pp. 30-51. http://geodesic.mathdoc.fr/item/MAIS_2013_20_1_a2/