Recent studies by mathematicians and physicists have identified a close association between the distribution of prime numbers and quantum mechanical laws governing the subatomic dynamics of quantum systems such as the electron or the photon. It is now recognised that Cantorian fractal space-time fluctuations characterise dynamical systems of all space-time scales ranging from the microscopic su...

in this research prediction methods of artificial neural network and chaos theory are employed to predict daily, weekly and monthly runoff. for this, runoff series data observed at pole-kohneh located in the qareh-soo river. the nonlinear predictions of chaos are found to be in close agreement with the observed runoff, with high correlation coefficient for daily and weekly time scales. predicte...

Chaotic dynamics can be quite heterogeneous in the sense that some regions are unstable more directions than other regions. When trajectories wander between these regions, is complicated. We say a chaotic invariant set when arbitrarily close to each point of there different periodic points with numbers dimensions. call such chaos (or hetero-chaos), While we believe it common for physical system...

Secure multimedia communication presents new challenges that are difficult to handle by using the currently adopted encryption methods. Chaotic encryption is a new direction of cryptography. It uses chaotic system properties such as sensitivity to initial condition and loss of information. In order to reach higher performance, these methods take advantage of the more and more complex behavior o...

In most systems encountered in our everyday life, small changes in the initial conditions can lead to widely diverging outcomes. Think, for example, of the drawing of lottery numbers. Even if great care was taken in the initial positioning of the balls, and the lottery machine was set in an almost identical rotation, we could hardly expect the same outcome at every draw. Although governed by de...