Chaotic dynamics of propeller singing

The time series of a propeller singing system was processed by use of chaotic dynamics method. The topological dimension of the propeller singing system was estimated, the number of independent variables was confirmed, and the characters of attractor trajectory were described in reconstructed phase space. The results indicate that the propeller singing can be reconstructed by the optional delay time tD = 1 and the minimal embedding dimension dE = 8 with a fractional correlation dimension D2 = 5.1579 and a positive maximum Lyapunov exponent λtD = 0.0771. The investigation gives a new approach based on chaos to study the propeller singing phenomenon.