In:
The Journal of Chemical Physics, AIP Publishing, Vol. 87, No. 10 ( 1987-11-15), p. 5765-5771
Abstract:
The steady and oscillatory states of the Olsen and Degn model for the peroxidase–oxidase oscillator are found. The stability of the steady states is determined, and a bifurcation diagram for the oscillatory regime is found. A complex sequence of multiply periodic oscillations is observed and found to follow an orderly pattern when described via the firing number, the number of small oscillations divided by the total number of large and small oscillations per period. A plot of the firing number vs one of the system parameters is found to have a stairstep relationship and it is shown that this stairstep relationship is a complete devil’s staircase, an infinite self-similar staircase with chaotic properties and a fractal dimension.
Type of Medium:
Online Resource
ISSN:
0021-9606
,
1089-7690
Language:
English
Publisher:
AIP Publishing
Publication Date:
1987
detail.hit.zdb_id:
3113-6
detail.hit.zdb_id:
1473050-9
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