Ph.D. Tezi Görüntüleme

       In general, most of natural phenomenon looks like the dynamic behavior of nonlinear systems. Although it is easy to predict the behavior of linear systems, to predict that of nonlinear systems becomes rather diffucult,especially where it exibits chaos.

       In this work, first an introduction to linear and nonlinear system characteristics, the concepts stability and divergence are discussed in detail. Some known routes by which a nonlinear system can proceed to chaos are introduced, and to further illuminate the routes an outline of some additional system analysis methods such as Lyapunov spectrum, Kohnogorov entropy, Lyapunov and fractal dimensions, time series, Poincare maps, and power spectrum are presented.

       Finally, it has been shown that synchronization between 3-dimensional Lorenz and VPDO systems are achieved using single state variable..

       Keywords : Chaos, Strange Attractor, Lyapunov Exponents, Lyapunov and Fractal Dimension, Period-Doubling, Poincare Map, Entropy, Kolmogorov Entropy, Master System, Drive Subsystem, Slave Subsystem