Stochastic discrete fracture networks (DFNs) are classically simulated using stochastic point processes which neglect mechanical interactions between fractures and yield a low spatial correlation in a network. We propose a sequential parent-daughter Poisson point process that organizes fracture objects according to mechanical interactions while honoring statistical characterization data. The hi...

In this project, we investigate two different models of the Belousov-Zhabotinsky Reaction, the Oregonator (1973) and a model found in a 1992 paper by Györgyi and Field. We discuss the original literature and then numerically investigate both models. We find the the Oregonator is not chaotic, and that the Györgyi-Field model is for certain values of a variable parameter. For each model, we solve...

In this paper we propose the use of nonlinear speech features to improve the voice quality measurement. We have tested a couple of features from the Dynamical System Theory, namely: the Correlation Dimension and the largest Lyapunov Exponent. In particular, we have studied the optimal size of time window for this type of analysis in the field of the characterization of the voice quality. Two sy...

We consider the problem of detecting and quantifying nonstationary structure in time series from highdimensional dynamical systems. This problem is relevant in particular for EEG monitoring, e.g. for the prediction of epileptic seizures, but also for practical data analysis in many other fields. Three groups of measures of nonstationarity are discussed: Correlation dimension, measures based on ...

The paper considers the influence of the image pixels position in a one-dimensional sequence on the result of correlation dimension evaluation. The sequence formed as a result of reading of the two-dimensional pixel image. Dimension evaluation is performed by maximum likelihood method, using image elements ordering and creating vectors in pseudophase space by Takens theorem, and is used as a te...

This paper determines whether chaotic dynamics exists in a flying vibratory system. Acceleration signals were measured at nine different locations or orientations of the flying object during a test flight. Steady-state acceleration data were extracted to reconstruct pseudo phase-space trajectories from which two dynamical indices including the correlation dimension and the maximum Lyapunov expo...

This paper investigates the relation between chaos and swarm intelligence. The swarm intelligent model is represented as an iterated function system (IFS). The dynamic trajectory of the particle is sensitive on the parameter values of IFS. The Lyapunov exponent and the correlation dimension were calculated and analyzed. Our preliminary research results illustrate that the performance of the swa...

The Kz entropy, and the correlation dimension are commonly used measures of chaotic activity in com.plea: dynamic systems. The design and implem,entation of a massively parallel algorithm on the MasPar MP-2 for the computation of Kz entropy and the correlation dimension is presented. The algorithm is used to compute the Kz entropy and correlation dimension of experimental heart rate data. Exper...

abstract background: gifted individuals have exclusive personality traits and need various experiences to achieve more information about themselves and their ability into developmental process from giftedness to talent. also, they can increase mental experiences and obtain greater self- actualization with recognition of the level of challenges, values and their personality traits. the aim of th...