Relaxation oscillations and diffusion chaos in the Belousov reaction |
| |
Authors: | S D Glyzin A Yu Kolesov N Kh Rozov |
| |
Institution: | 1. Faculty of Mathematics, Yaroslavl State University, Sovetskaya ul. 14, Yaroslavl, 150000, Russia 2. Faculty of Mathematics and Mechanics, Moscow State University, Moscow, 119992, Russia
|
| |
Abstract: | 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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|