Nonlinear determinism in degenerated combustion instability in a gas-turbine model combustor

We present a detailed study on the dynamic behavior of pressure fluctuations in degenerated combustion instability [Gotoda et al. Phys. Rev. E 92 (2015) 052906] in a lean premixed gas-turbine model combustor in terms of symbolic dynamics, statistical complexity, complex networks, and nonlinear forecasting. The permutation spectrum test enables us to extract nonlinear determinism in degenerated combustion instability. The possible presence of chaotic dynamics in degenerated combustion instability is reasonably shown by considering the multiscale complexity-entropy causality plane incorporating a scale-dependent approach.