Name of the Speaker(s): Alberto C. Sadun¹, A. D. Nair²
Institution: ¹Agnes Scott College, ²University of Florida
Title of the communication: Nonlinear Analysis of the Light Curve of 3C 345
Preliminary abstract (12 lines max.): Flux variability of the AGN 3C 345 has been analyzed using data from many sources covering a large span of time. This analysis uses a myriad of nonlinear techniques. Besides the more conventional methods such as the use of autocorrelation function, phase space plots to search for attractors, calculation of Lyapunov exponents to look at rates of divergence of phase space trajectories, and fractal dimension as a measure of underlying structure, less conventional techniques are employed as well. In particular, singular value decomposition is used for noise removal, and model fits to dynamical behavior are made. Discrete wavelet transforms are calculated and plotted, and the light curve is deconstructed and reconstructed in various ways to search for further evidence of non-stochastic behavior. The results obtained are discussed, and a full theoretical discussion follows.