Our project aims at testing various measures of chaos in time series data from an electrocardiogram (EKG). We examine data from three types of patients who we assume to produce varying EKG dynamics. We use time-delay embedding and calculate correlation dimensions to determine if the data is chaotic or random. Our results indicate that there is some evidence of deterministic chaotic behavior in ...

Several equivalent definitions are possible; for instance, M ~ = ( 1 ) k+l, where k is the sum of digits in the binary representation ofj. With respect to a shift along the symbolic chain, the Thue-Morse sequence supports a unique translation-invariant ergodic probability measure, t3) Although organized by a simple deterministic rule, the Thue-Morse sequence is not periodic. The Fourier spectru...

Triggered pulsing in a multi-quantum well structure which shows s-type negative differential resistance (NDR) was investigated. First return maps of the inter-pulse time intervals (IPTI) show an interesting grouping pattern at slower pulse rates. Oscillations in the pulsing threshold level of the MQW device cause the grouping behavior. This pattern of IPTIs is similar to that of thermoreceptors...

Assessment of the cervical spine using x-ray radiography is an important task when providing emergency room care to trauma patients. In clinical practice, a physician will inspect the alignment of the cervical spine vertebrae by mentally tracing three alignment curves along the anterior and posterior sides of the cervical vertebral bodies, as well as one along the spinolaminar junction. In this...

Determining the number of components in dimensionality reduction techniques is still one of the open problems of research on data analysis. These methods are often used in knowledge extraction of multivariate great dimensional data, but very often the number of components is assumed to be known. One of the classical methods to estimate this dimensionality is based on the Principal Components An...

In this paper we present a new approach for the analysis of the spatio-temporal dynamics of brain electrical activity in epilepsy with Cellular Neural Networks (CNN). We have shown in recent investigations [1] that the dimension D 2(k;m) of brain electrical activity can be approximated by a function of CNN cell outputs. These results obtained with CNN, having non steady-states, were sensitive t...

This paper focuses on the tremor signal as a window to observe and analyze the central nervous system's functions and organization. In this idea it is proposed a custom system and some methodologies that reveal the cross-modalities influences, specifically, the increased complexity of the neuro-motor system generating the tremor as a result of photic driving activation method. The correlation d...

This paper analyzes the chaotic characteristics of irregular systems using both wave theory and ray theory. In ray theory, we visualize the chaotic properties of the ray propagation trajectories in a chaotic wave field. We found that the trajectory of the billiard problem with a stadium boundary condition has the same sensitivities to the initial conditions as does the mapping process on a logi...