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Prof. Gamal Mokhtar Mahmoud

Professor, Department of Mathematics , Faculty of Science, ِِAssiut University

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Current Address

:

Department of Mathematics, Faculty of Science, Assiut University , Assiut, 71516, Egypt

Office Tel.

:

002-088-2412171

Home Tel.

:

002-088-2324991

Mobile No.

:

01002678173

Fax No.

:

002-088-2080209

E-Mail

:

gmahmoud@aun.edu.eg
gmahmoud@aun.edu.eg , gmahmoud_56@yahoo.com

google scholar link

:

http://scholar.google.com.eg/citations?user=Sh0JnU0AAAAJ&hl=en
Educational Qualifications:
  • Ph. D. In Mathematics ( Dynamical Systems, Differential and Difference Equations ) , Science, Clarkson University, Potsdam, New York, USA , 1987
  • M. Sc. In Mathematics ( Mathematics ) , Science, Assiut University, 1981
  • B. Sc. In Mathematics, Science, Assiut University , 1978


 

 
  • Professor, Department of Mathematics , Faculty of Science, ِِAssiut University, 2016
  • Professor, Department of Mathematics , Faculty of Science, ِِAssiut University, 2001
  • Associate Professor, Department of Mathematics , Faculty of Science, ِِAssiut University, 1996
  • Lecturer, Department of Mathematics , Faculty of Science, ِِAssiut University, 1987
  • Assistant Lecturer, Department of Mathematics , Faculty of Science, Assiut University, 1982
  • Demonstrator, Department of Mathematics , Faculty of Science, Assiut University, 1978
 

Past Positions :

  • Head, Department of Mathematics , Faculty of Science, Assiut University, sinceDecember 2015
  • Research fields:
    Dynamical Systems

    Publications:

    1 - Gamal M. Mahmoud, E.E. Mahmoud and A.A.Arafa, , Synchronization of time delay systems with non-diagonal complex scaling functions, Chaos, Solitons and Fractals , Vol. 111, pp. 86-95, June, 2018
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    2 - Gamal M Mahmoud, Tarek M Abed-Elhameed, and Ahmed A Farghaly, Double compound combination synchronization among eight n-dimensional chaotic systems , Chin. Phys. B, Vol. 27 - No. 8, --, 8, 2018
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    3 - G.M. Mahmoud , A. A. Arafa, and E.E. Mahmoud , On Phase and Anti-Phase Combination Synchronization of Time Delay Nonlinear Systems, Journal of Computational and Nonlinear Dynamics, Vol. 13 - No. 11, November, 2018
    4 - Gamal M. Mahmoud, Ayman A. Araf, and Emad E. Mahmoud, Bifurcations and chaos of time delay Lorenz system with dimension 2n + 1, Eur. Phys. J. Plus , Springer, 132, 461, November, 2017
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    5 - Gamal M. Mahmoud, Ayman A. Arafa ,Tarek M. Abed-Elhameed, ,Emad E. Mahmoud, Chaos control of integer and fractional orders of chaotic Burke-Shaw system using time delayed feedback control, Chaos, Solitons and Fractals , Elsevier, 104, 680–692, October, 2017
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    6 - GamalM.Mahmoud, Emad E.Mahmoud, and Ayman A. Arafa, Projective synchronization for coupled partially linear complex-variable systems with known parameters , Math. Meth. Appl. Sci. , John Wiley & Sons, Vol. 40, pp. 1214–1222, June, 2017
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    7 - Gamal M. Mahmoud, Mansour E. Ahmed, Tarek M. Abed-Elhameed, On fractional-order hyperchaotic complex systems and their generalized function projective combination synchronization , Optik , Elsevier, Vol. 130, pp. 398-406, March, 2017
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    8 - G. M. MAHMOUD AND M. E. AHMED, ANALYSIS OF CHAOTIC AND HYPERCHAOTIC CONSERVATIVE COMPLEX NONLINEAR SYSTEMS, Miskolc Mathematical Notes , Miskolc University Press, 18, 315-326, March, 2017
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    9 - G. M. Mahmoud, T. M. Abed – Elhameed, and M. E. Ahmed, Generalization of combination-combination synchronization of chaotic n-dimensional fractional-order dynamical systems, Nonlinear Dynamics , 83, 1885-1893, February, 2016
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    10 - Gamal M. Mahmoud, Mansour E. Ahmed, and Tarek M. Abed-Elhameed, Active control technique of fractional-order chaotic complex systems, Eur. Phys. J. Plus , Springer, Vol. 131- No. 200, June, 2016
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    11 - Gamal M. Mahmoud1,a, Mansour E. Ahmed1,2,b, and Tarek M. Abed-Elhameed1,c, Active control technique of fractional-order chaotic complex systems, EpJp, Vol.131 - No.200, pp. 1 - 11, 2016
    12 - G.M. Mahmoud, E.E. Mahmoud and A. A. Arafa, On modified time delay hyperchaotic complex Lü system, Nonlinear Dynamics , 80, 885-869, 2015
    13 - Shaban Aly, Ali Al-Qahtani, Houari B. Khenous, G. M. Mahmoud, Impulsive control and synchronization of complex lorenz systems, Abstract and Applied Analysis , 2014
    14 - G.M. Mahmoud, E.E. Mahmoud and A.A. Arafa, Controlling hyperchaotic complex nonlinear systems with unknown parameters based on adaptive passive method, Chin. Phys. B Vol. 22, No. 6 (2013) 060508 , 2013
    15 - G.M. Mahmoud, E.E. Mahmoud and A. A. Arafa, On projective synchronization of hyperchaotic complex nonlinear systems based on passive theory for secure communications, Phys. Scr. 87 (2013) 055002 (10pp), 87, 2013
    16 - G. M. Mahmoud and E.E. Mahmoud, Complex modified projective synchronization of two chaotic complex nonlinear systems, Nonlinear Dynamics , 73,4, 2231-2240, September, 2013
    17 - G.M. Mahmoud, E.E. Mahmoud and A. A. Arafa, Passive control of n-dimensional chaotic complex nonlinear systems, Journal of Vibration and Control , 17, 1061-1071, May, 2013
    18 - G. M. Mahmoud and E.E. Mahmoud, Synchronization of two different n -dimensional chaotic complex nonlinear systems with fully unknown parameters, Journal of Advanced Research in Dynamical and Control Systems, 5, 47-58, 2013
    19 - G.M. Mahmoud and M. E. Ahmed, A hyperchaotic complex system generating two-, three-, and four-scroll attractors, Journal of Vibration and Control 18(6) 841–849, 2012
    20 - G. M. Mahmoud and E.E. Mahmoud, Lag synchronization of hyperchaotic complex nonlinear systems, Nonlinear Dynamics , VOL. 67, 1613-1622, January, 2012
    21 - G.M. Mahmoud and M. E. Ahmed, Chaotic and hyperchaotic complex jerk equations, International Journal of Modern Nonlinear Theory and Application , 1, 6-13, 2012
    22 - G.M. Mahmoud and M. E. Ahmed, Modified projective synchronization and control of complex Chen and Lü systems, Journal of Vibration and Control 17(8) 1184–1194, 2011
    23 - G. M. Mahmoud, M. E. Ahmed and N. Sabor, On autonomous and non-autonomous modified hyperchaotic complex Lu systems, International Journal of Bifurcation and Chaos, Vol. 21, No. 7 (2011) 1913–1926 , 2011
    24 - G. M. Mahmoud and E.E. Mahmoud, Modified projective lag synchronization of two non-identical hyperchaotic complex nonlinear systems, International Journal of Bifurcation and Chaos, Vol. 21, No. 8 (2011) 2369–2379 , 2011
    25 - G. M. Mahmoud, M. E. Ahmed N. Sabor, "On autonomous and nonautonomous modified hyperchaotic complex Lü systems", International Journal of Bifurcation and Chaos , World Scientific Publishing Company, Vol. 21 - No. 7, pp. 1913-1926, http://www.worldscientific.com/doi/abs/10.1142/S0218127411029525, July, 2011
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    26 - Gamal M. Mahmoud and Emad E. Mahmoud, Complete synchronization of chaotic complex nonlinear systems with uncertain parameters, Nonlinear Dynamics, Springer, 62, 875-882, 2010
    27 - Gamal M. Mahmoud and Emad E. Mahmoud, Phase and anti-phase synchronization of two identical hyperchaotic complex nonlinear systems, Nonlinear Dynamics , 61, 141-152, 2010
    28 - Gamal M. Mahmoud and Emad E. Mahmoud, Synchronization and control of hyperchaotic complex Lorenz system , Mathematics and Computers in Simulation, Elsevier, 80, 2286-2296, 8, 2010
    29 - G. M. Mahmoud, E.E. Mahmoud and M. E. Ahmed, On the hyperchaotic complex Lü system, Nonlinear Dyn (2009) 58: 725–738, 2009
    30 - G. M. Mahmoud, E. E.Mahmoud, A. A. Farghaly and S. A. Aly, Chaotic synchronization of two complex nonlinear oscillators, Chaos, Solitons and Fractals 42 (2009) 2858–2864, 2009
    31 - G. M. Mahmoud, T.Bountis, G.M.AbdEl-Latif, and E. E.Mahmoud, Chaos synchronization of two different chaotic complex Chen and Lü systems, Nonlinear Dyn (2009) 55: 43–53 , 2009
    32 - G.M. Mahmoud, T. Bountis, M. A. Al-Kashif and S.A. Aly, Dynamical properties and synchronization of complex nonlinear equations for detuned lasers, Dynamical Systems Vol. 24, No. 1, 2009, 63–79, Taylor & Francis, March, 2009
    33 - Yong Xu and G. M. Mahmoud, Stabilization of a Nonlinear Stochastic Complex Damped System using Random Force, The Conference for Mathematics, Mechanics and Physics, High Technology Research (MMPH-12), EMeishan, SiChuan, China , August 1-3, 2008., 8, 2008
    34 - G. M. Mahmoud, M. A. Al-Kashif, and A. A. Farghaly, Chaotic and hyperchaotic attractors of a complex nonlinear system, J. Phys. A: Math. Theor. 41 (2008) 055104 (12pp) , 2008
    35 - G.M.Mahmoud, S.A. Aly, and M. A. Al-Kashif, Dynamical properties and chaos synchronization of a new chaotic complex nonlinear system, Nonlinear Dyn (2008) 51:171–181, 2008
    36 - Yong Xu, Wei Xu and G. M. Mahmoud, On a Complex Duffing systems with random excitation , Chaos, Solitons and Fractals 35 (2008) 126–132 , 2008
    37 - G. M. Mahmoud, M. E. Ahmed and E. E. Mahmoud, Analysis of hyperchaotic complex Lorenz systems, Int. J. Modern Physics C Vol. 19, No. 10 (2008) 1477-1494, 2008
    38 - Qun He,Yong Xu, G.M.Mahmoud and Wei Xu, The control of stochastic complex damped nonlinear systems, J. Mod. Phys. C Vol. 18, No. 8 (2007) 1263–1275, 2007
    39 - G. M. Mahmoud, T. Bountis and E. E. Mahmoud, Active control and global synchronization for complex Chen and Lü systems, International Journal of Bifurcation and Chaos, Vol. 17, No. 12 (2007) 4295–4308 , 2007
    40 - G. M. Mahmoud, E.E. Mahmoud and M. E. Ahmed, A hyperchaotic complex Chen system and its dynamics, Int. J. Appl. Math. Stat., Vol.12,No. D07, PP.90-100, 2007
    41 - G.M.Mahmoud, M. A. Al-Kashif, and S.A. Aly, Basic properties and chaotic synchronization of complex Lorenz system, Int. J. Mod. Phys. C Vol. 18, No. 2 (2007) 253–265 , 2007
    42 - G.M.Mahmoud, S.A. Aly, and A.A. Farghaly, On chaos synchronization of a complex two coupled dynamos system, Chaos, Solitons and Fractals 33 (2007) 178–187 , 2007
    43 - Yong Xu, Wei Xu and G. M. Mahmoud, On a Stochastic complex Lorenz system, The Second Int. Conference on Dynamics, Vibration and Control, 23-26 August, 2006, Beijing, China., 2006
    44 - G. M. Mahmoud, On chaotic behavior and chaos of classes of complex nonlinear dynamical systems : A Review, The Int. Conference on Mathematical Analysis and its Applications, Assiut University, Assiut, Egypt, Jan. 3-6, 2006., January, 2006
    45 - Yong Xu, Wei Xu and G. M. Mahmoud, Generating chaotic limit cycles for a complex Duffing-Van der Pol system with random phase , Int. J. Modern Physics C, Vol. 16, No. 9 (2005) 1437{1447, 2005
    46 - Yong Xu, Wei Xu, G. M. Mahmoud and Y. Lei, Beam-beam interaction models under narrow-band random excitation, , Physica A 346 (2005) 372–386, 2005
    47 - Yong Xu, G. M. Mahmoud and Wei Xu, Suppressing chaos of a complex Duffing system using a random phase, , Chaos, Solitons and Fractals 23 (2005) 265–273 , 2005
    48 - Yong Xu, Wei Xu and G. M. Mahmoud, On a stochastic beam-beam interaction model under narrow-band excitation, Int. Symposium on Nonlinear Theory and its Applications (NOLTA2004) Fukuoka, Japan, Nov. 29-Dec.3, PP111-114 (2004)., 2004
    49 - G. M. Mahmoud and A. A. M. Farghaly,, Chaos control of chaotic limit cycles of real and complex van der Pol oscillators, Chaos, Solitons and Fractals 21 (2004) 915–924, 2004
    50 - Yong Xu, Wei Xu and G. M. Mahmoud, On a complex beam-beam interaction model with random forcing, Physica A 336 (2004) 347 – 360, 2004
    51 - G. M. Mahmoud, and T. Bountis, The dynamics of systems of complex nonlinear oscillators: A Review, , Int. J. of Bifurcation and Chaos ,Vol. 14, No. 11 (2004) 3821{3846 , 2004
    52 - G. M. Mahmoud and A. A. M. Farghaly, On Stabilization of coupled complex nonlinear Schr dinger equations, Int. J. Modern Physics C 15, 6 ,PP.845-866 (2004) , 2004
    53 - Yong Xu, Wei Xu and G. M. Mahmoud, Yong Xu, Wei Xu and G. M. Mahmoud, Responses of coupled Duffing’s equations with random excitation, Int. J. of Differential Equations and Applications,Vol. 7, No. 3PP.415-442 (2003) , 2003
    54 - G. M. Mahmoud , Chaotic behavior of nonlinear oscillators, Int. Nonlinear Sciences Conference, University of Vienna, Feb. 7-9, 2003, Vienna, Austria., February, 2003
    55 - G. M. Mahmoud and A. A. M. Farghaly, Stabilization of unstable periodic attractors of complex damped non-linear dynamical systems, Chaos, Solitons and Fractals 17 (2003) 105–112, 2003
    56 - K. W. Chung, C. L. Chan, Z. Xu and G. M. Mahmoud, A perturbation-incremental method for strongly nonlinear autonomous oscillators with many degrees of freedom, Nonlinear Dynamics 28: 243–259, 2002. , 2002
    57 - G. M. Mahmoud and G. Turchetti, Approximate first order solutions of nonlinear dynamical mappings , Physica A 312 (2002) 369 – 380 , 2002
    58 - G. M. Mahmoud, T. Bountis and S. A. Ahmed, On the stability analysis of strongly nonlinear coupled Hill’s equations, Int. J. of Differential Equations and Applications , Vol. 4, No. 4, 437-465, 2002
    59 - Gamal M. Mahmoud, Tassos Bountis and Sayed A. Ahmed, On the stability analysis of strongly nonlinear coupled Hill’s Equations, International Journal of Differential Equations and Applications, Gamal M. Mahmoud, Tassos Bountis and Sayed A. Ahmed, Vol. 4, No. 4, 2002 , 437-465, http://www.ijpam.eu/en/index.php/ijdea, 2002
    60 - G. M. Mahmoud, A theorem for n-dimensional strongly nonlinear dynamical systems , International Journal of Non-Linear Mechanics 36 (2001) 1013}1018 , 2001
    61 - G. M. Mahmoud, A. Rauh and A. A. Mohamed, Applying chaos control to a modulated complex nonlinear systems, Il Nuovo Cimento, Vol. 116B, No. 10, PP. 113-1126 (2001) , 2001
    62 - G. M. Mahmoud, A. A. Mohamed, and S. A. Aly, Strange attractors and chaos control in periodically forced complex Duffing’s oscillators, Physica A 292 (2001) 193–206, 2001
    63 - G. M. Mahmoud, H. A. Abdusalam and A. A. M. Farghly , Chaotic behavior and chaos control for a class of complex partial differential equations, Int. J. Mod. Phys. C , 2001
    64 - G. M. Mahmoud and S. A. Aly, Periodic attractors of complex damped nonlinear systems, Int. J. Non-Linear Mech. , 2000
    65 - G. M. Mahmoud and S. A. Aly, On periodic solutions of a class of parametrically excited complex nonlinear dynamical systems, Physica A 278, PP. 390-404 (2000)., 2000
    66 - G. M. Mahmoud, T. Bountis and S. A. Ahmed, Stability analysis for system of nonlinear Hill’s equations, Physica A , Vol. 286 , 133-146, 2000
    67 - Gamal M. Mahmouda, Tassos Bountis and Sayed A. Ahmed , Stability analysis for systems of nonlinear Hill’s equations , Physica A , Gamal M. Mahmouda, Tassos Bountis and Sayed A. Ahmed , 286 (2000) , 133–146, http://www.journals.elsevier.com/physica-a-statistical-mechanics-and-its-applications, April, 2000
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    68 - M. El-Tawel and G. M. Mahmoud, The solvability of parametrically forced oscillators using WHEP technique, Mechanics and Mechanical Engineering Vol. 3, No.2, PP. 181-188 (1999)., 1999
    69 - G. M. Mahmoud, A. Rauh and A. A. Mohamed, On modulated complex nonlinear dynamical systems, Il Nuovo Cimento, Vol. 114B,No.1, PP.31-48 (1999), 1999
    70 - G. M. Mahmoud, Approximate solutions of a class of complex nonlinear dynamical systems, Physica A 253 (1998) 211{222, 1998
    71 - G. M. Mahmoud , Periodic solutions of strongly non-linear Mathieu oscillators, Int. J. Non-Linear Mech., Vol. 32, No. 6, PP. 1177-1185 (1997), 1997
    72 - G. M. Mahmoud, Stability regions for coupled Hill’s equations, Physica A 242 (1997) 239-249, 1997
    73 - J.D. Bejarano, J.G.-Margallo and G.M. Mahmoud, Analytical and numerical studies of periodic solutions outside potential wells, Anales De Fisica 92, No. 3, PP. 121-125, Spain (1996) , 1996
    74 - G. M. Mahmoud, T. Bountis and G. Turchetti, Synchronization in parametrically driven Hamiltonian systems, Il Nuovo Cimento, Vol. 110B, N. 11, PP.1311-1322 (1995), 1995
    75 - G. M. Mahmoud, Beam-Beam interaction model with a small stochastic perturbation, Physica A 216 (1995) 445-451, 1995
    76 - G.M. Mahmoud, Analytical approach for the solutions of nonlinear couples second order systems, Bulletin of the Faculty of Science , Assiut University, 23(1-c)PP.1-13, Assiut, Egypt (1994)., 1994
    77 - G. M. Mahmoud, On the generalized averaging method of a class of strongly nonlinear oscillators, Physica A 199 (1993) 87-95, 1993
    78 - G. M. Mahmoud, On periodic orbits of nonlinear dynamical systems with many degrees of freedom, Physica A 181 (1992) 385-395 , 1992
    79 - G.M. Mahmoud , Periodic solutions of two strongly coupled forced Van der Pol oscillators, Proc. of Assiut First Int. Conf. of Math. and Stat., Assiut, Egypt (1990). , 1990
    80 - G. M. Mahmoud and T. Bountis, Analytical and numerical results on a forced Van der Pol oscillators, Int. Conf. For Singular Behavior and Nonlinear Dynamics, Samos, Greece, Aug. 18-26 (1988), Vol.1, PP. 207-221. , 8, 1988
    81 - G. M. Mahmoud and T. Bountis, Synchronized periodic solutions of a class of periodically driven nonlinear oscillators, Journal of Applied Mechanics SEPTEMBER 1988, Vol. 55/721, 1988
    82 - T. Bountis and G. M. Mahmoud , Synchronized periodic orbits of Beam-Beam interaction model in one and two space spatial dimensions, Particle and Accelerators, Vol. 22, PP.129-147, USA (1987)., 1987
    83 - A. El-Nagger and G.M. Mahmoud, Synchronization of an oscillatory system, Bulletin of the Faculty of Science , Assiut University,PP.109-125, Assiut, Egypt (1983)., 1983
    84 - A. El-Nagger and G.M. Mahmoud, Analytical studies for even sub- harmonic synchronization of a weakly nonlinear conservative physical system, KMJ, Vol. 22, PP. 203-213, Korea, (1982)., 1982
    85 - A. El-Nagger and G.M. Mahmoud, Analytical treatment for harmonic and sub-harmonic synchronization of odd order of a weakly nonlinear conservative physical system, 7th Int. Congress for Stat., Comp. Sci., Soc. And Demog. Res., Cairo, Egypt (March, 1982), PP.293-310., March, 1982
    86 - A. El-Nagger and G.M. Mahmoud , Determination of harmonic and sub-harmonic synchronization of a weakly nonlinear conservative physical system, 6th Int. Congress for Stat., Comp. Sci., Soc. and Demog. Res., Cairo, Egypt (March, 1981), PP.241-252., March, 1981

    Supervisions :

    1- Sayed Attia Ahmed Sayed , Stability Analysis for Systems of Nonlinear Hill, Equations , M. Sc, 25 November 2001
    Supervisors : Salah al-Din Abdel-Salam al-Jundi , Jamal Mokhtar Mahmoud Hamdallah
    2- Shaban Anwar Hassan Ali, “Amelytical and Numerical Studies of Complex Nonlinear Oscillators” , M. Sc, 27 June 1999
    Supervisors : Salah al-Din Abdel-Salam al-Jundi , Jamal Mokhtar Mahmoud Hamdallah
    3- Ahmed Abdel Rahman Mohamed Farghaly, A Nolytical and Numerical Studies of Nonlinear Systems, Ph. D., 26 November 2000
    Supervisors : Salah al-Din Abdel-Salam al-Jundi , Jamal Mokhtar Mahmoud Hamad allah
    4- Yong Xu, Resonse and Chaos Control of Nonlinear Stochastic Copmlex Dynamical Systems, Ph. D., 12 April 2005
    Supervisors : Prof. Gamal M. Mahmoud - Prof. Wei Xu
    5- Emad E. Mahmoud, On Some Chaotic Complex Nonlinear Systems, M. Sc, 1 July 2007
    Supervisors : Gamal Abd-ALatteif - Ahmed A, Ahmed
    6- M.A. Al-Kashif, Basic Properties and Synchronization of Complex Nonlinear Systems, Ph. D., 27 June 2010
    Supervisors : Prof. Gamal M. Mahmoud Prof. H. Kokubu Dr. Shaban A. Aly
    7- Emad E. Mahmoud, Chaotic and Hyperchaotic Nonlinear Systems, Ph. D., 27 December 2010
    Supervisors : Prof. Gamal M. Mahmoud Prof. Z. M. Kishka
    8- M.E. Ahmed, Analysis of Complex Nonlinear Dynamical Systems , Ph. D., 26 June 2011
    9- Ahmed Abdel-Rahman Mohamed , Analytical and Numerical Studies of Nonlinear Systems, Ph. D., 29 July 2000
    Supervisors : Salah El-Dien Abd-El-Slam El-Gendi, Gamal Mahtaer Mohmoud, Alexandar Rauh
    10- Sayed Atya Ahmed Sayed, Stability Analysis for Systems of Nonlinear Hill`s Equations, M. Sc, 25 November 2001
    Supervisors : Salah El-Dien Abd-El-Slam El-Gendi, Gamal Moghater Mahmoud
    11- Tarek Mohamed Abd-elateif, On Synchronization of Chaotic n- dimensional Fractional- Order Dynamical Systems, M. Sc, 29 September 2016
    12- Fatma Hussein Abd-Allah Mohamed, Analytical and Numerical Studies of some Epidemiological Models with Diffusion, M. Sc, 29 September 2016

    Awards and Grants :

    1 - " Assiut University Prize for Scientific Distinction " in Basic Sciences, 2005.
    2 - " Assiut University Prize for Scientific Distinction " in Basic Sciences, 2004.
    3 - " Academy of Scientific Research & Technology, Egypt (M. A. Lotfy) Award " in Basic Sciences, 1997.
    4 - " Academy of Scientific Research & Technology, Egypt Award (The Best Paper in Applied Mathematics) " in Basic Sciences, 1999.
    5 - " " in Basic Sciences, 1999.
    Number of courses0 course