Geodesic
Relaxation oscillations and diffusion chaos in the Belousov reaction
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 8, pp. 1400-1418

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Asymptotic and numerical analysis of relaxation self-oscillations in a three-dimensional system of Volterra ordinary differential equations that models the well-known Belousov reaction is carried out. A numerical study of the corresponding distributed model – the parabolic system obtained from the original system of ordinary differential equations with the diffusive terms taken into account subject to the zero Neumann boundary conditions at the endpoints of a finite interval is attempted. It is shown that, when the diffusion coefficients are proportionally decreased while the other parameters remain intact, the distributed model exhibits the diffusion chaos phenomenon; that is, chaotic attractors of arbitrarily high dimension emerge. 
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     author = {S. D. Glyzin and A. Yu. Kolesov and N. Kh. Rozov},
     title = {Relaxation oscillations and diffusion chaos in the {Belousov} reaction},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a4/}
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S. D. Glyzin; A. Yu. Kolesov; N. Kh. Rozov. Relaxation oscillations and diffusion chaos in the Belousov reaction. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 8, pp. 1400-1418. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_8_a4/