Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 5 of 5
Full-Text Articles in Physical Sciences and Mathematics
Two-Dimensional Wigner-Ville Transforms And Their Basic Properties, Bheemaiah Veena Shankara Narayana Rao
Two-Dimensional Wigner-Ville Transforms And Their Basic Properties, Bheemaiah Veena Shankara Narayana Rao
Theses and Dissertations - UTB/UTPA
This thesis deals with Wigner-Ville transforms and their basic properties. The Wigner-Ville transforms are a non-linear transform which constitute an important tool in nonstationary signal analysis. Wigner-Ville transforms in one dimension and their basic properties are discussed here. Special attention is given to formulation of two dimensional Wigner-Ville transform, its inversion formula and some of their basic properties. Some applications of Wigner-Ville transforms are also briefly discussed.
Reaction-Diffusion Systems With A Nonlinear Rate Of Growth, Yubing Wan
Reaction-Diffusion Systems With A Nonlinear Rate Of Growth, Yubing Wan
Theses and Dissertations - UTB/UTPA
In the literature there are quite a few elegant approaches which have been proposed to find (he first integrals of nonlinear differential equations. Recently, the modified Prelle-Singer method for finding the first integrals of second-order nonlinear ordinary differential equations (ODEs) has attracted considerable attention. Many researchers used this method to derive the first integrals to various systems. In this thesis, we are concerned with the first integrals for reaction-diffusion systems with a nonlinear rate of growth. Under certain parametric conditions we express the first integrals explicitly by applying an analytical method as well as the modified Prelle-Singer method.
Integrable Equations With Non-Smooth Solitons, Xianqi Li
Integrable Equations With Non-Smooth Solitons, Xianqi Li
Theses and Dissertations - UTB/UTPA
In this thesis, we present a class of integrable equations with non-smooth soliton solutions. In particular, we derive the bi-Hamiltonian structure and Lax pair of the equation pt = bux + \[{u2 — u1)p]x,p = u — uxx, which guarantee its integrability. Another interesting integrable equation we study is (=Jff!i)t = 2uux, which is exactly the first member of the negative KdV hierarchy. Through traveling wave setting arid phase step analysis, we obtain non-smooth soliton solutions of these integrable equations under different boundary condition at infinities. These equations were shown to have peaked soliton (peakon), "W/M-shape" peakon or cusped soliton …
A Comparative Study Of Risk Factors Involved In Diabetes Between Texas And Other States, Andres Padilla Oviedo
A Comparative Study Of Risk Factors Involved In Diabetes Between Texas And Other States, Andres Padilla Oviedo
Theses and Dissertations - UTB/UTPA
Diabetes is a serious concern in the United States and Texas is a state with high percentage of diabetes. The risk factors contributing to diabetes are current smoking, high blood cholesterol, hypertension, physical inactivity etc. In this thesis, we would like to identify the crucial risk factors for Texas. This motivates us to use the online data resources for a comparative study between Texas and other states. Looking at the data, we decide to use independent sample t-tests and independent sample non parametric tests [Wilcoxon Mann Whitney] for such comparative studies. This analysis has two parts – in the first …
On The Dynamics Of Quasi-Self-Matings Of Generalized Starlike Complex Quadratics And The Structure Of The Mated Julia Sets, Ross Flek
Dissertations, Theses, and Capstone Projects
It has been shown that, in many cases, Julia sets of complex polynomials can be "glued" together to obtain a new Julia set homeomorphic to a Julia set of a rational map; the dynamics of the two polynomials are reflected in the dynamics of the mated rational map. Here, I investigate the Julia sets of self-matings of generalized starlike quadratic polynomials, which enjoy relatively simple combinatorics. The points in the Julia sets of the mated rational maps are completely classified according to their topology. The presence and location of buried points in these Julia sets are addressed. The interconnections between …