01About This Special Issue
Mathematical theory and modeling is an integral parts of scientific and Academicians Research center. The Special Issue welcomes research articles from Scientists, Professors, and Research Scholars involved in all areas of mathematical theory and modeling from all over the world to publish high quality research papers. Submissions must be unique and should not be published earlier or be under consideration for publication while being evaluated for this Special Issue.02Meet the Guest Editors
Our distinguished editors bring deep subject-matter expertise to curate high-quality research and ensure a rigorous peer-review process.
Lead Guest Editor
Mohammed N. Murad
Math Department, Faculty of Science and Science Education, University of Sulaimani, Sulaimani, Iraq
Guest Editor
Jian Shen
Department of Mathematics, Texas State University, San Marcos, United States
Guest Editor
Francisco Javier Garcia-Pacheco
University of Cadiz, Puerto Real, Spain
Guest Editor
Onur Alp Ilhan
Mathematics Department, Erciyes University, Kayseri, Turkey
Guest Editor
Saleem Abdullah
Department of Mathematics, Faculty of Science, Hazara University, Mansehra, Pakistan
Guest Editor
Mohammad Hassan Anjom SHoa
University of Birjand, Birjand, Iran
Guest Editor
Tianxing Cai
Dan. F Smith Department of Chemical Engineering. Lamar University, Beaumont, United States
Guest Editor
Francisco Javier Garcia-Pacheco
Department of Mathematics, University of Cadiz, Puerto Real, Spain
Guest Editor
Hai Zhang
School of Mathematics and Computation Science, Anqing Normal University, Anqing, China
Guest Editor
Onur Alp Ilhan
Mathematics Department, Erciyes University, Kayseri, Turkey
Guest Editor
Saleem Abdullah
Department of Mathematics, Faculty of Science, Hazara University, Mansehra, Pakistan
03Published Articles
The following articles have been published in this special issue.
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Catastrophic Types Depending on Degree of Non-Linearity
Issue: Volume 3, Issue 6-1, December 2014Pages: 24-27Received: 2 December 2014Accepted: 26 December 2014Published: 27 December 2014DOI: 10.11648/j.pamj.s.2014030601.15Downloads:Views:Abstract: In this paper, we present results on the projection of the folding part of the elementary catastrophe models on the control space to find stability and catastrophic phenomenon of the periodic solutions of some nonlinear differential equations (NLDE) by using methods of catastrophe theory. We have shown here, that the cusp and Butterfly types depend... Show More -
Issue: Volume 3, Issue 6-1, December 2014Pages: 20-23Received: 15 October 2014Accepted: 20 October 2014Published: 24 October 2014DOI: 10.11648/j.pamj.s.2014030601.14Downloads:Views:Abstract: In this paper, we will study a new class of chaotic maps on locally compact Hausdorff spaces called Lambda -type chaotic maps and θ-type chaotic maps. The Lambda -type chaotic map implies chaotic map which implies θ-type chaotic map. Further, the definition of topological Lambda -type chaos implies John Tylar definition which implies topological θ-... Show More
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Uncertain Relations on a Finite Set and their Properties
Issue: Volume 3, Issue 6-1, December 2014Pages: 13-19Received: 9 September 2014Accepted: 13 October 2014Published: 20 October 2014DOI: 10.11648/j.pamj.s.2014030601.13Downloads:Views:Abstract: There exists some relationships which are difficult to be simply measured by “yes” or “no" in practice, and there must be a certain amount to indicate the extent of this relationship between the two elements. In this paper, the property of the uncertain relations is examined by the uncertainty theory. Firstly it offers the definition of uncertain r... Show More -
Two New Types of Chaotic Maps and Minimal Systems
Issue: Volume 3, Issue 6-1, December 2014Pages: 7-12Received: 5 September 2014Accepted: 16 September 2014Published: 17 September 2014DOI: 10.11648/j.pamj.s.2014030601.12Downloads:Views:Abstract: In this paper, we introduce and study the relationship between two different notions of chaotic maps, namely topological α–chaotic maps, topological θ-chaotic maps and investigate some of their properties in two topological spaces (X, τα) and (X, τθ), τα denotes the α–topology(resp. τθ denotes the θ–topology) of a given topological space (X, τ). Th... Show More -
New Types of Chaos and Non-Wandering Points in Topological Spaces
Issue: Volume 3, Issue 6-1, December 2014Pages: 1-6Received: 7 July 2014Accepted: 21 August 2014Published: 2 September 2014DOI: 10.11648/j.pamj.s.2014030601.11Downloads:Views:Abstract: In this paper, we will define a new class of chaotic maps on locally compact Hausdorff spaces called α-type chaotic maps defined by α-type transitive maps. This new definition coincides with Devaney's definition for chaos when the topological space happens to be a metric space. Furthermore, we will study new types of non-wandering points called α-t... Show More
