Nonlinear/chaotic modeling and control of combustion instabilities

S. Lei, A. Turan

    Research output: Contribution to journalArticlepeer-review


    A discrete dynamic model accounting for both combustion and vaporization processes is proposed. In terms of different bifurcation parameters relevant to either combustion or evaporation, various bifurcation diagrams are presented. Furthermore, the corresponding Lyapunov exponent is calculated and employed to analyze the stability of the particular dynamic system. The study indicates conclusively that the evaporation process has a significant impact on the intensity and nonlinear behavior of the system of interest, vis-à-vis a model accounting for only the gaseous combustion process. Moreover, a minimum entropy control method is employed to control the chaotic behavior inherent to the system of interest. This algorithm is intended to be implemented for control of combustion instability numerically and experimentally to provide a basis for some of the control methodologies employed in the literature. © 2010 World Scientific Publishing Company.
    Original languageEnglish
    Pages (from-to)1245-1254
    Number of pages9
    JournalInternational Journal of Bifurcation and Chaos
    Issue number4
    Publication statusPublished - Apr 2010


    • chaotic control
    • combustion
    • Combustion instability
    • nonlinear behavior


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