Analysis of a New Three-Dimensional Quadratic Chaotic System

This paper has reported the finding of a new simple three dimensional quadratic chaotic system with three nonlinearities obtained by adding a cross-product nonlinear term to the first equation of the Lu system. Basic properties of the system have been analyzed by means of Lyapunov exponent spectrum and bifurcation diagram of an associated Poincare map. This analysis shows that the system has complex dynamics with some interesting characteristics in which there are several periodic regions, but each of them has quite different periodic orbits. Shilnikov’s criterion is included and discussed

Lipschitz integral operators represented by vector measures

[EN] In this paper we introduce the concept of Lipschitz Pietsch-p-integral mappings, (1≤p≤∞), between a metric space and a Banach space. We represent these mappings by an integral with respect to a vectormeasure defined on a suitable compact Hausdorff space, obtaining in this way a rich factorization theory through the classical Banach spaces C(K), L_p(μ,K) and L_∞(μ,K). Also we show that this type of operators fits in the theory of composition Banach Lipschitz operator ideals. For p=∞, we characterize the Lipschitz Pietsch-∞-integral mappings by a factorization schema through a weakly compact operator. Finally, the relationship between these mappings and some well known Lipschitz operators is given.We would like to thank the referee for his/her careful reading and useful suggestions. Also, we acknowledge with thanks the support of the general direction of scientific research and technological development (DGRSDT), Algeria.Dahia, E.; Hamidi, K. (2021). Lipschitz integral operators represented by vector measures. Applied General Topology. 22(2):367-383. https://doi.org/10.4995/agt.2021.15061OJS367383222D. Achour, P. Rueda, E. A. Sánchez-Pérez and R. Yahi, Lipschitz operator ideals and the approximation property, J. Math. Anal. Appl. 436 (2016), 217-236. https://doi.org/10.1016/j.jmaa.2015.11.050R. F. Arens and J. Eels Jr., On embedding uniform and topological spaces, Pacific J. Math 6 (1956), 397-403. https://doi.org/10.2140/pjm.1956.6.397A. Belacel and D. Chen, Lipschitz (p,r,s)-integral operators and Lipschitz (p,r,s)-nuclear operators, J. Math. Anal. Appl. 461 (2018) 1115-1137. https://doi.org/10.1016/j.jmaa.2018.01.056Y. Benyamini and J. Lindenstrauss, Geometric nonlinear functional analysis, vol. 1, Amer. Math. Soc. Colloq. Publ., vol. 48, Amer. Math. Soc., Providence, RI, 2000. https://doi.org/10.1090/coll/048M. G. Cabrera-Padilla and A. Jiménez-Vargas, Lipschitz Grothendieck-integral operators, Banach J. Math. Anal. 9, no. 4 (2015), 34-57. https://doi.org/10.15352/bjma/09-4-3C. S. Cardassi, Strictly p-integral and p-nuclear operators, in: Analyse harmonique: Groupe de travail sur les espaces de Banach invariants par translation, Exp. II, Publ. Math. Orsay, 1989.D. Chen and B. Zheng. Lipschitz p-integral operators and Lipschitz p-nuclear operators, Nonlinear Anal. 75 (2012), 5270-5282. https://doi.org/10.1016/j.na.2012.04.044R. Cilia and J. M. Gutiérrez, Asplund Operators and p-Integral Polynomials, Mediterr. J. Math. 10 (2013), 1435-1459. https://doi.org/10.1007/s00009-013-0250-8R. Cilia and J. M. Gutiérrez, Ideals of integral and r-factorable polynomials, Bol. Soc. Mat. Mexicana 14 (2008), 95-124.J. Diestel, H. Jarchow and A. Tonge, Absolutely summing operators, Cambridge University Press, Cambridge, 1995. https://doi.org/10.1017/CBO9780511526138J. Diestel and J. J. Uhl, Jr., Vector Measures, Math. Surveys Monographs 15, American Mathematical Society, Providence RI, 1977. https://doi.org/10.1090/surv/015N. Dunford and J. T. Schwartz, Linear Operators, Part I:General Theory, J. Wiley & Sons, New York, 1988.J. D. Farmer and W. B. Johnson, Lipschitz p-summing operators, Proc. Amer. Math. Soc. 137, no. 9 (2009), 2989-2995. https://doi.org/10.1090/S0002-9939-09-09865-7G. Godefroy, A survey on Lipschitz-free Banach spaces, Commentationes Mathematicae 55, no. 2 (2015), 89-118. https://doi.org/10.14708/cm.v55i2.1104A. Jiménez-Vargas, J. M. Sepulcre and M. Villegas-Vallecillos, Lipschitz compact operators, J. Math. Anal. Appl. 415 (2014), 889-901. https://doi.org/10.1016/j.jmaa.2014.02.012D. R. Lewis, Integration with respect to vector measures, Pacific J. Math. 33 (1970), 157-165. https://doi.org/10.2140/pjm.1970.33.157S. Okada, W. J. Ricker and E. A. Sánchez-Pérez, Optimal domain and integral extension of operators acting in function spaces, Operator theory: Adv. Appl., vol. 180, Birkhauser, Basel, 2008. https://doi.org/10.1007/978-3-7643-8648-1A. Persson and A. Pietsch.p-nuklear und p-integrale Abbildungen in Banach räumen, Studia Math. 33 (1969), 19-62. https://doi.org/10.4064/sm-33-1-19-62N. Weaver, Lipschitz Algebras, World Scientific Publishing Co., Singapore, 1999. https://doi.org/10.1142/410

Existence of Super Chaotic Attractors in a General Piecewise Smooth Map of the Plane

In this paper we give some rigorous conditions for the occurrence of super chaotic attractors in a general piecewise smooth map of the plane

Effects of active mineral additions on the concrete behavior based on demolition sands

The exhaustion of natural aggregate deposits and the difficulties of opening new quarries make it necessary to look for new sources of supply. Recycling and recovery of waste are now considered a solution for the future in order to meet the shortfall between production and consumption and protect the environment. The objective of this study is to evaluate the effect of active mineral additions (Pozzolana, slag and silica fume) and inert (calcareous) on the behavior of concrete using recycled fine aggregates.   The results obtained in this experimental study allow us to draw the conclusion that the use of additions (pozzolana , limestone fillers, silica fume and slag) improves the physico-mechanical and, more particularly, rheological characteristics of concretes based on 50% of recycled fine aggregate

Building ideals of two-Lipschitz operators between mertic and Banach spaces

In this paper, we present and characterize the injective hull of a two-Lipschitz operator ideals and the definition of two-Lipschitz dual operator ideal. Also we introduce two methods for creating ideals of two-Lipschitz operators from a pair of Lipschitz operator ideals. Namely, Lipschitzization and factorization method. We show the closedness, the injectivity and the symmetry of these two-Lipschitz ideals according to the closedness, injectivity and symmetry of the corresponding Lipschitz operator ideals. Some illustrative examples are given.Comment: 20 page

A systematic literature review on mobile learning in Saudi Arabia

the aim of this paper is to collects, document, examine and critically analyze the current research literature on mobile learning (m-learning) in higher education institutes HEIs in the Kingdom of Saudi Arabia (KSA) published between 2010 and 2017. It explores the acceptance of using the m-learning, the factors that influence the deployment of m-learning. Investigate the trends in m-learning by systematically analyzing the previous studies. explores new emerging practices relating to the use of mobile technologies in nursing education; identify gaps in the research literature of the m-learning. The result shows there is reasonable evidence that the HEIs in Saudi Arabia face considerable factors in implementing m-learning. Also shows that significant studies assessing the effectiveness of m-learning within Saudi Arabia HEIs are lacking and existing studies lacked a theoretical framework. The absence of studies reporting on existing m-learning study reflects the limited penetration of this technology and associated pedagogies and a need to strengthen research in the field of m-learning in the KSA. © 2017 IEEE

Trace Elements Modulates Oxidative Stress in Type 2 Diabetes

The relationship between antioxidant trace elements (ATE) and metabolic disease is subtle and complex due to overproduction of reactive oxygen species (ROS). In type 2 diabetes (T2D), the relationship between ATE and insulin-like trace elements is very complex during oxidative stress (OS), being mediated by hyperglycemia, dyslipidemia and inflammation. The important role assigned to ATE (zinc, selenium, copper, manganese and chromium) by their involvement at different levels: Hemodynamic homeostasis (endothelial function and protein glycation), energy metabolism (carbohydrate and lipid tolerance) and enzymatic antioxidant protection [superoxide dismutase (SOD), glutathione peroxidase (GPx)]. The ROS-mediated cellular signaling process is crucial. Manganese and selenium levels abnormalities might to be useful indicators of oxidative damage. Two major factors were suggested: lack of Mn bioavailability leading to the decrease of mitochondrial SOD activity (cytosolic SOD remains active), and low blood selenium level implying a decrease in GPx activity. In T2D pathophysiology, it appears that antioxidant defense is preserved in the cytosol (Cu/Zn-SOD) in T2D, whereas it is impaired in mitochondria (Mn-SOD) in the three pathologies, which make this cell organelle a true ATE therapeutic target. Future challenges require the in-depth investigations of mitochondrial mechanisms, involved the antioxidant trace elements signaling pathways in T2D pathophysiology