Dynamical systems and complex systems theory to study unsteady combustion

Reacting flow fields are often subject to unsteadiness due flow, reaction, diffusion, and acoustics. Further, flames can also exhibit inherent caused by various intrinsic instabilities. Interaction between unsteady processes across multiple scales makes combustion dynamics complex. Characterizing such complex is essential ensure the safe reliable operation of high efficiency systems. Tools from nonlinear systems theory provide new perspectives analyze interpret data real They could ways monitoring controlling We discuss recent advances in studying using tools dynamical theory. cover a range problems involving as thermoacoustic instability, flame blowout, fire propagation, reaction chemistry interaction.