Ayman A. Arafa

DR
ayman.arafa@ejust.edu.eg

Personal Info

Mathematics

Ayman A. Arafa was born in Sohag, Egypt in 1988. He received B.S., M.S., and Ph.D. degrees in Mathematics from Sohag University, Egypt in 2009, 2013, and 2018, respectively. From 2010 to 2018, he was a Research Assistant at Sohag University. From 2018 to 2019 and 2021-2022, he was an Assistant Professor in the Mathematics Department, at Sohag University, Egypt. He was awarded the Prof. Bahaa-Eddin Helmy Ismail's Prize from the Egyptian Mathematical Society for the best Master and Ph.D. theses in Mathematics in 2014 and 2018, respectively. From June 2019 to June 2021, he was a postdoctoral researcher at the School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an, China. Now, he is working as an Assistant Professor of Mathematics at the Department of Mathematics, Basic and Applied Sciences Institute (BAS), Egypt-Japan University of Science and Technology (E-JUST). His research interests lie primarily in 1- Dynamical systems, 2- Time delay systems, 3- Filippov systems, 4- Mathematical modeling, 5- Chaos, Synchronization, 6- Secure communications, 7- Fractional order dynamical systems 8- Bifurcation.

Awards

1-  Prof. Bahaa-Eddin Helmy Ismail’s Prize from the Egyptian Mathematical Society as the best PhD thesis in Mathematics, 2019.
2- Prof. Bahaa-Eddin Helmy Ismail’s Prize from the Egyptian Mathematical Society as the best Master thesis in Mathematics, 2014.

Impacted Journal

1- Ayman A. Arafa, Soliman A. A. Hamdallaa, Sanyi Tang, Yong Xu and Gamal M. Mahmoud. Dynamics analysis of a Filippov pest control model with time delay. Communications in Nonlinear Science and Numerical Simulation, 101, 105865 (2021) 

2- Soliman A. A. Hamdallaa, Ayman A. Arafa, Sanyi Tang and Yong Xu. Complex Dynamics of a Filippov three-species food chain model. International Journal of Bifurcation and Chaos, 31(5), 2150074 (2021)

 3- Fathalla A. Rihan, Ayman A. Arafa, R. Rakkiyappan, C. Rajivganthi and Yong Xu. Dynamics of fractional-order delay differential model of hepatitis C virus infection with INF-α treatment. Alexandria Engineering Journal 60(5), 4761-4774 (2021). 4- Ayman A. Arafa, Yong Xu and Gamal M. Mahmoud, Chaos suppression via integrative time delay control. International Journal of Bifurcation and Chaos, 30(14), 2050208 (2020). 5- Gamal M. Mahmoud, Ahmed A. Farghalya, Tarek M. Abed-Elhameeda, Shaban A. Aly, and Ayman A. Arafa. Dynamics of distributed-order hyperchaotic complex van der Pol oscillator and its synchronization and control. The European Physical Journal Plus 135, 32 (2020). 6- Gamal M. Mahmoud, Ayman A. Arafa and Emad E. Mahmoud. On phase and anti-phase combination synchronization of time delay nonlinear systems. Journal of Computational and Nonlinear Dynamics 13, 111001 (2018). 7- Gamal M. Mahmoud, Emad E. Mahmoud and Ayman A. Arafa. Synchronization of time delay systems with non-diagonal complex scaling functions. Chaos, Solitons & Fractals 111, 86-95 (2018). 8- Gamal M. Mahmoud, Ayman A. Arafa and Emad E. Mahmoud. Bifurcations and chaos of time delayed Lorenz system with dimension 2n+1. The European Physical Journal Plus 132, 461 (2017). 9- Gamal M. Mahmoud, Ayman A. Arafa, Tarek M. Abed-Elhameed and Emad E. Mahmoud. Chaos control of integer and fractional orders of chaotic Burke-Shaw system using time delayed feedback control. Chaos, Solitons & Fractals 107, 680-692 (2017). 10- Gamal M. Mahmoud, Emad E. Mahmoud and Ayman A. Arafa. Projective synchronization for coupled partially linear complex-variable systems with known parameters. Mathematical Methods in the Applied Sciences 40, 1214-1222 (2017). 11- Gamal M. Mahmoud, Emad E. Mahmoud and Ayman A. Arafa. On modified time delay hyperchaotic complex Lü system. Nonlinear Dynamics 80, 855-869 (2015). 12- Gamal M. Mahmoud, Emad E. Mahmoud and Ayman A. Arafa. On projective synchronization of hyperchaotic complex nonlinear systems based on passive theory for secure communications. Physica Scripta 87, 055002 (2013). 13- Gamal M. Mahmoud, Emad E. Mahmoud and Ayman A. Arafa. Controlling hyperchaotic complex systems with unknown parameters based on adaptive passive method. Chinese Physics B 22, 060508 (2013). 14- Gamal M. Mahmoud, Emad E. Mahmoud and Ayman A. Arafa. Passive control of n-dimensional chaotic complex nonlinear systems. Journal of Vibration and Control 19, 1061-1071 (2013).

Non Impacted Journal

Aceng Sambas, Mustafa Mamat, Ayman A. Arafa, Gamal M. Mahmoud, Muhammad Afendee Mohamed, W. S. Mada Sanjaya. A new chaotic system with line of equilibria: dynamics, passive control and circuit design. International Journal of Electrical and Computer Engineering 9, 2365-2376 (2019).

Courses Teaching

Calculus I, II, Ordinary Differential Equations, Partial Differential Equations, Probability and Statistics, Special Functions, Algebra, Abstract Algebra, Complex Analysis, Geometry..

Publications

1- International Webinar on Mathematical Biology, 7-10 September 2020, Bharathiar University Coimbatore, India. 2- One-day conference in Mathematics and its Applications (Numerical Analysis - Differential Equations - Dynamical systems), 14 Apr. 2016, Faculty of Science, Assiut University, Egypt. 3- The 6th Symposium of the Fractional Calculus and Applications Group "One Day Conference in Mathematics," 4 Aug. 2014, Alexandria University, Egypt. 4- The First International Conference on New Horizons in Basic and Applied Science, 21-23 Sep. 2013 Hurghada, Egypt. 5- International Conference on Mathematics Trends Development (ICMTD12) 27-29 Dec. 2012, Cairo, Egypt. 6- Third Conference of Young Scientists, Sohag University, 2012. 7- Second International Conference on Mathematics \& Information Science, 10-13 Sep. 2011, Sohag University, Egypt.