Analysis of complex oscillatory dynamics of a pH oscillator

被引：0
|
作者：
D. Bakeš
L. Schreiberová
I. Schreiber
M. J. B. Hauser
机构：
[1] Prague Institute of Chemical Technology,Department of Chemical Engineering and Center for Nonlinear Dynamics of Chemical and Biological Systems
[2] Otto-von-Guericke-Universität Magdeburg,Institut für Experimentelle Physik, Abteilung Biophysik
来源：
Russian Journal of Physical Chemistry A | 2007年 / 81卷
关键词：
Time Series; Chaotic Dynamic; Maximal Lyapunov Exponent; Deterministic Chaos; Measured Time Series;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Reaction systems that display pronounced periodic and aperiodic variations in the pH value of the reaction medium are known as pH oscillators. A member of this family of reactions studied here, the Cu(II)-catalyzed oxidation of thiosulfate by hydrogen peroxide in acidic solution, is known to display a rich variety of oscillatory dynamics. We focus on experimental time series showing complex aperiodic dynamics that simultaneously possesses the characteristics of period-doubled large-amplitude oscillations and irregular small-amplitude oscillations reminiscent of mixed-mode dynamics. An analysis based on the reconstruction of the attractor from the measured time series by two different methods and subsequent calculation of the maximal Lyapunov exponent reveals that this interesting dynamical regime is a manifestation of deterministic chaos.
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页码：1407 / 1412
页数：5
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