since the pioneering work of zadeh, fuzzy set theory has been applied to amyriad of areas. song and chissom introduced the concept of fuzzy time series andapplied some methods to the enrolments of the university of alabama. thereafter weapply fuzzy techniques for system identification and apply statistical techniques tomodelling system. an automatic methodology framework that combines fuzzytech...

Using the two-dimensional 3-disk system (in the A 1 representation) we compare the quantum mechanical cumulant expansion of the characteristic determinant, detM(k), and the semi-classical curvature expansion of the corresponding Gutzwiller-Voros zeta-function, Z GV (k). We will show that { independent of the wave number regime { the Gutzwiller-Voros curvature expansion is only an asymptotic app...

The current paper presents a method for image watermarking based on chaotic sequences produced by different functions. The effect of embedding a chaotic watermark on an image is examined. Extensive experimental results for JPEG and filtering attacks on images watermarked by the different functions are presented together with a comparative study of them. The results show that efficient watermark...

Hénon [8] used an inclined billiard to investigate aspects of chaotic scattering which occur in satellite encounters and in other situations. His model consisted of a piecewise mapping which described the motion of a point particle bouncing elastically on two disks. A one parameter family of orbits, named h-orbits, was obtained by starting the particle at rest from a given height. We obtain an ...

Transport and mixing processes in the atmosphere operate on scales from millimeters to thousands of kilometers. In certain parts of the atmosphere the large-scale quasi-horizontal flow appears to play the dominant role in transport and in the stirring process that leads ultimately to true (molecular) mixing at very small scales. Previous work in other fluid dynamical contexts such as ‘chaotic a...

Fifteen years ago, surface acoustic waves (SAW) were found to be able to drive fluids and numerous applications in microfluidics have been developed since. Here, we review the progress made and report on new approaches in setting-up microfluidic, continuous flow acoustic mixing. In a microchannel, chaotic advection is achieved by generation of a SAW driven fluid jet perpendicular to the mean fl...

It is shown that the scattering of a charged test particle by a system of four extreme Reissner-Nordtröm black holes is chaotic in some cases. The fractal structure of the scattering angle and time delay functions is another manifestation of the existence of a nonattracting chaotic set: fractal basin boundaries were previously known. 04.25.-g,04.40.Nr,04.70.Bw,95.10.Fh Typeset using REVTEX 1

This paper introduces a simple and effective chaotic system using a combination of two existing one-dimension (1D) chaotic maps (seed maps). Simulations and performance evaluations show that the proposed system is able to produce many 1D chaotic maps with larger chaotic ranges and better chaotic behaviors compared with their seed maps. To investigate its applications in multimedia security, a n...

In any communication system, including the satellite and the Internet, it is almost impossible to prevent unauthorized people from eavesdropping. When information is broadcast from a satellite or transmitted through the Internet, there is a risk of information interception. Security of image and video data has become increasingly important for many applications, including video conferencing, se...

In this paper, we introduce a new hyperchaotic complex T-system. This system has complex nonlinear behavior which we study its dynamical properties including invariance, equilibria and their stability, Lyapunov exponents, bifurcation, chaotic behavior and chaotic attractors as well as necessary conditions for this system to generate chaos. We discuss the synchronization with certain and uncerta...