Deterministic chaos arising from homoclinicity in the chlorite-thiourea oscillator

Deterministic chaos arising from homoclinicity in the chlorite-thiourea oscillator
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DOI:
10.1021/j100130a023
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发表时间:
1993-07
期刊:
The Journal of Physical Chemistry
影响因子:
--
通讯作者:
C. Doona;R. Blittersdorf;F. W. Schneider
C. Doona;R. Blittersdorf;F. W. Schneider
中科院分区:
其他
文献类型:
--
作者:
C. Doona;R. Blittersdorf;F. W. Schneider

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对连续流搅拌槽反应器中硫脲氧化反应的非周期振荡进行了时间序列、重构吸引子、Fourier谱、Poincare截面、返回映射和广义Renyi维数分析,证实了该系统中存在确定性化学混沌.实验观察到的滞后现象与从定态到非周期行为的不连续转变的重合表明这是同宿混沌,它是由局部亚临界Hopf分叉和全局同宿分叉的相互作用引起的
Analysis of aperiodic oscillations in the chlorite oxidation of thiourea in a continuous-flow stirred tank reactor in terms of time series, reconstructed attractors, Fourier spectra, Poincare sections, return maps and generalized Renyi dimensions confirms the existence of deterministic chemical chaos in this system. The coincidence of an experimentally observed hysteresis and a discontinuous transition from a stationary state to aperiodic behavior signifies this as homoclinic chaos, which arises from the interaction of a local subcritical Hopf bifurcation and a global homoclinic bifurcation