Abstract Chaos Theory is not only one of the most active branches dynamical system, but also important topics nonlinear scientific field. The main purpose this thesis to introduce and illustrate basic concepts, characteristics, various applications Theory. widely applied in physics, biology, economics fields etc., so will exhibit interdisciplinary research on conclusion that refinement its sens...

One of the remarkable achievements in science in the 20th century is the discovery of dynamical chaos. Using this paradigm, many problems in modern science and engineering can be realistically simulated and analyzed via the tools of nonlinear dynamics. The quest for understanding and explaining chaos in real physical systems has led to the creation of new mathematical techniques. Indeed, there ...

The authors review the evidence for the applicability of random–matrix theory to nuclear spectra. In analogy to systems with few degrees of freedom, one speaks of chaos (more accurately: quantum chaos) in nuclei whenever random–matrix predictions are fulfilled. An introduction into the basic concepts of random–matrix theory is followed by a survey over the extant experimental information on spe...