Dynamical Systems

Zeraoulia Elhadj, born on February 23, 1976, in Yabous, Khenchela, Algeria, received his B.S. degree in mathematics from the Institute of Mathematics (University of Batna, Batna, Algeria) in 1998 and a Ph.D. degree in mathematics from the University of Constantine, Constantine, Algeria, in 2006. He joined the Department of Mathematics, University of Tébessa, Tébessa, Algeria, in 2001 as a Research Associate, and in the same year, Elhadj became an Assistant Professor. Since 2001, he has been teaching undergraduate and graduate courses on applied mathematics. His primary research interests include bifurcations and chaos. He has authored or coauthored more than 150 journal and conference papers and 15 books. He is the Editor-in-Chief of the Annual Review of Chaos Theory, Bifurcations and Dynamical Systems Journal.

Review of chaotic dynamics. Roundedness of some quadratic systems. Rigorous determination of chaotic behavior in a piecewise linear planar map. Properties of perplexing dynamics of urbanization.Transformation of n-D dynamical systems to hyperjerky motion. Analytic calculation of Lyapunouv exponents for 2-D quadratic mapping. About the HIV therapy system. Robust Chaos in Neural Networks Models. Chaotic Attractors in modified map-based BVP model. Some forms of globally asymptotically stable attractors. Synchronization of 2-D piecewise smooth mappings