Nonlinear Properties of Combustion Instability Based on Dynamical Systems Theory

Abstract

Dynamical systems theory conveys striking and useful information for clarifying the hidden nature of irregular temporal fluctuations obtained in a wide spectrum of experiments in the fields of biological medicine, electronic information, mechanical engineering, and many other natural sciences. It extensively covers sphere ranging from the quantification of important nonlinear properties, which yields a physical description of the dynamical structure in phase space, to practical applications such as detection and control. This article presents the availability of dynamical systems theory involving three analytical methods: colored recurrence plots, local predictor, and translation error, to deal with nonlinear dynamics of combustion instability in a laboratory-scale gas-turbine model combustor.