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  • 1
    Electronic Resource
    Electronic Resource
    Differential delay equations in chemical kinetics. Nonlinear models: The cross-shaped phase diagram and the Oregonator (1991)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 95 (1991), S. 244-254 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: Delayed feedback plays a key role in most, if not all chemical oscillators. We derive general results useful in the linear stability analysis of models that explicitly incorporate delay by using differential delay equations. Two models of nonlinear chemical oscillators, the cross-shaped phase diagram model of Boissonade and De Kepper and the Oregonator, are modified by deleting a feedback species and mimicking its effect by a delay in the kinetics of another variable. With an appropriate choice of the delay time, the reduced models behave very much like the full systems. It should be possible to carry out similar reductions on more complex mechanisms of oscillating reactions, thereby providing insight into the role of delayed feedback in these systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.461481
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Stirring and premixing effects in the oscillatory chlorite–iodide reaction (1986)
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 85 (1986), S. 5733-5740 
    Details
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The reaction between chlorite and iodide has been studied in a CSTR at different stirring rates with and without premixing of the input reagents. Most of the experiments have been conducted under oscillatory conditions. Three steady states are found in the premixing configuration. With the state of mixing as the bifurcation parameter, phase portraits are obtained showing the disappearance of oscillations through various types of bifurcation. The mixing dependence of the system's dynamical behavior is discussed in terms of the elementary steps in a recently proposed mechanism. The significant enrichment in the dynamical behavior observed on varying the mixing requires revision of the mechanism.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.451534
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