Software itself is very complex and studying its failure is much more complex. Complexity is a relative concept and defining complexity in software failure is chaotic in nature. Software failure of complex systems and understanding the complex system needs some sort of theoretical support for analyzing the nonlinearity in the system. Complex systems have attributes like subsystems, composed of ...

Whether every effect can be precisely linked to a given cause or to a list of causes has been a matter of debate for centuries, particularly during the 17th century, when astronomers became capable of predicting the trajectories of planets. Recent mathematical models applied to physics have included the idea that given phenomena cannot be predicted precisely, although they can be predicted to s...

An issue that has taunted mankind through the ages is the question of origins. Since ancient times people have been keenly interested in understanding and explaining their provenance. The ancient creation mythologies of Mesopotamia, Egypt, China, India, Iran, Japan, or Mexico, or a child's question to his parents about who made the world shows that this concern is intrinsic to human nature. The...

Network traffic prediction has been an important problem in the field of network designing and planning. Several prediction approaches are developed to predict the network traffic as well as its generalization promotion ability. By analyzing the limitation of previous approaches, we propose a network traffic prediction approach based on the Chaos theory and Regression-SMKL (RRSMKL) algorithm. T...

Key frame based video summarization has emerged as an important task for efficient video data management. This paper proposes a novel technique for key frame extraction based on chaos theory and color information. By applying chaos theory, a large content change between frames becomes more chaos-like and results in a more complex fractal trajectory in phase space. By exploiting the fractality m...

It is very important to localize the epileptogenic focus as accurately as possible for candidates undergoing epilepsy treatment through surgery. From earlier visual analysis to recent computer-assist quantitative calculation, the accuracy of the diagnosis improves with the innovation of the methods Gotman 1983; Mars 1977; Lieb et al. 1987]. In the past years, EEG signals recorded on the scalp h...

stochastic, processes can be stationary or nonstationary. they depend on the magnitude of shocks. in other words, in an auto regressive model of order one, the estimated coefficient is not constant. another finding of this paper is the relation between estimated coefficients and residuals. we also develop a catastrophe and chaos theory for change of roots from stationary to a nonstationary one ...