International Conference for Mathematics
and Applications (ICMA15)
Academy of Scientific Research and Technology
27 – 29 DEC. 2015
Cairo, Egypt
 
 
المؤتمر الدولي في الرياضيات
(ICMA15)وتطبيقاتها 
أكاديمية البحث العلمي والتكنولوجيا
2015 ديسمبر 29 - 27
القاهرة  ـ  جمهورية مصر العربية
 
www.asrt.sci.eg  -  ncm-eg.org ICMA15.msa.edu.eg www.msa.edu.eg
 

Dynamical Systems and Applications. .::. Invited Lecture
1
MON: 28-12-2015 Main Hall Invited Speaker Sec07 ( 1 )  
10:30 : 11:00
 
DSA - 11 PK Dr. Gul Zaman talash74@yahoo.com
 
13
  Mathematical Biology and Fluid Mechanics  
  Gul Zaman  
 
Department of Mathematics, University of Malakand Chakdara, Pakistan
 
  ABSTRACT  
  -  
 
 
International Conference for Mathematics
and Applications (ICMA15)
Academy of Scientific Research and Technology
27 – 29 DEC. 2015
Cairo, Egypt
 
 
المؤتمر الدولي في الرياضيات
(ICMA15)وتطبيقاتها 
أكاديمية البحث العلمي والتكنولوجيا
2015 ديسمبر 29 - 27
القاهرة  ـ  جمهورية مصر العربية
 
www.asrt.sci.eg  -  ncm-eg.org ICMA15.msa.edu.eg www.msa.edu.eg
 

Dynamical Systems and Applications.
2
( )  
:
 
DSA - 13 NG Ms. OLUSEGUN OLUWASEUN MARIAM mikeydeboy2015@outlook.com
 
13
  Systems and Applications.  
  Olusegun Oluwasegun Mariam , Ajibola Oluwaremilekun Zainab  
 
Systems Applications
Dynamical Systems and Applications
 
  ABSTRACT  
   
 
 
International Conference for Mathematics
and Applications (ICMA15)
Academy of Scientific Research and Technology
27 – 29 DEC. 2015
Cairo, Egypt
 
 
المؤتمر الدولي في الرياضيات
(ICMA15)وتطبيقاتها 
أكاديمية البحث العلمي والتكنولوجيا
2015 ديسمبر 29 - 27
القاهرة  ـ  جمهورية مصر العربية
 
www.asrt.sci.eg  -  ncm-eg.org ICMA15.msa.edu.eg www.msa.edu.eg
 

Dynamical Systems and Applications.
3
TUE: 29-12-2015 Hall[C] Oral - Sec12 ( 1 )  
09:00 : 09:15
 
DSA - 1 EG Dr. Mohamed Khalil mkibrahim@msa.eun.eg
 
13
  Mathematical modelling of infectious diseases with memory: A Review  
  M. Khalil , M.S. Fahmy  
 
Mathematics department, Faculty of Engineering, October University for Modern Sciences and Arts (MSA University), 6th October City. Egypt.
Mathematics department, Faculty of Engineering, October University for Modern Sciences and Arts (MSA University), 6th October City. Egypt.
 
  ABSTRACT  
  In this paper, we present a concise review for some models of infectious diseases with fractional order derivatives in Caputo sense. The fractional order derivative is considered as the parameter of memory. Using fractional order models enables us to study in deeper sense, how memory effects can change the dynamics of infectious diseases. In addition, such models can improve strategies of public health organizations for controlling infectious diseases.  
 
 
International Conference for Mathematics
and Applications (ICMA15)
Academy of Scientific Research and Technology
27 – 29 DEC. 2015
Cairo, Egypt
 
 
المؤتمر الدولي في الرياضيات
(ICMA15)وتطبيقاتها 
أكاديمية البحث العلمي والتكنولوجيا
2015 ديسمبر 29 - 27
القاهرة  ـ  جمهورية مصر العربية
 
www.asrt.sci.eg  -  ncm-eg.org ICMA15.msa.edu.eg www.msa.edu.eg
 

Dynamical Systems and Applications.
4
TUE: 29-12-2015 Hall[C] Oral - Sec12 ( 2 )  
09:15 : 09:30
 
DSA - 2 EG Ms. Samar Ismail samar.moustafa791@gmail.com
 
13
  Generalized Fractional Logistic Map  
  Samar M. Ismail , Lobna A. Said , Ahmed G. Radwan , Ahmed H. Madian , Mohamed F. Abu El Yazeed  
 
Faculty of IET, German University in Cairo (GUC), Egypt
Faculty of IET, German University in Cairo (GUC), Egypt
NISC Research Center, Nile University, Cairo, Egypt
NISC Research Center, Nile University, Cairo, Egypt
Electronics and comm. Eng. Dept., Cairo University,Egypt
Electronics and comm. Eng. Dept., Cairo University,Egypt
 
  ABSTRACT  
  The generalization of the fractional logistic map is presented in this paper. The effect of the added generalized parameters a and b is critically analyzed, in combination with the extra degree of freedom provided by the fractional order parameter α. The use of fractional order increases the design flexibility and adds more controllability on the design procedure. Two special maps are introduced, which are the vertical map and the zooming map. The intrusion of the complete bifurcation diagram including the negative side is detailed. Moreover, by controlling the different parameters of this special logistic map, this work offers different design problems with their Lyapunov exponents presented, highlighting the flexibility and integrity of the design. In short, the elaboration of the complete bifurcation diagram of the fractional logistic map in a generalized form is presented in this paper.  
 
 
International Conference for Mathematics
and Applications (ICMA15)
Academy of Scientific Research and Technology
27 – 29 DEC. 2015
Cairo, Egypt
 
 
المؤتمر الدولي في الرياضيات
(ICMA15)وتطبيقاتها 
أكاديمية البحث العلمي والتكنولوجيا
2015 ديسمبر 29 - 27
القاهرة  ـ  جمهورية مصر العربية
 
www.asrt.sci.eg  -  ncm-eg.org ICMA15.msa.edu.eg www.msa.edu.eg
 

Dynamical Systems and Applications.
5
TUE: 29-12-2015 Hall[C] Oral - Sec12 ( 3 )  
09:30 : 09:45
 
DSA - 3 EG Ms. Wafaa Sayed wafaasaber91@yahoo.com
 
13
  Analysis of Bidirectional Bifurcations in Tent Maps  
  Wafaa S. Sayed , Ahmed G. Radwan , Hossam A. H. Fahmy  
 
Engineering Mathematics and Physics Department, Faculty of Engineering, Cairo University, Giza, Egypt 12613
Nanoelectronics Integrated Systems Center, Nile University, Cairo, Egypt 12588 and Engineering Mathematics and Physics Department, Faculty of Engineering, Cairo University, Giza, Egypt 12613
Electronics and Electrical Communications Department, Faculty of Engineering, Cairo University, Giza, Egypt 12613
 
  ABSTRACT  
  The tent map is a piece-wise linear one-dimensional discrete map which could be implemented easily. In this paper, a signed system parameter is allowed leading to the appearance of bidirectional bifurcations. A set of proposed tent maps with different sign variations are investigated where the conventional map is a special case. The proposed maps exhibit period doubling as a route to chaos with wider and alternating sign output ranges that could fit multiple applications. Based on the maximum achievable output range corresponding to maximum chaotic behavior, the responses are called: positive tent map, mostly positive tent map, negative tent map, and mostly negative tent map. Mathematical analysis and results for the proposed maps are presented including: effective ranges of control parameter and iterated variable, key-points of the bifurcation diagram, time waveforms, cobweb plots, as well as the maximum Lyapunov exponent.  
 
 
International Conference for Mathematics
and Applications (ICMA15)
Academy of Scientific Research and Technology
27 – 29 DEC. 2015
Cairo, Egypt
 
 
المؤتمر الدولي في الرياضيات
(ICMA15)وتطبيقاتها 
أكاديمية البحث العلمي والتكنولوجيا
2015 ديسمبر 29 - 27
القاهرة  ـ  جمهورية مصر العربية
 
www.asrt.sci.eg  -  ncm-eg.org ICMA15.msa.edu.eg www.msa.edu.eg
 

Dynamical Systems and Applications.
6
TUE: 29-12-2015 Hall[C] Oral - Sec12 ( 4 )  
09:45 : 10:00
 
DSA - 4 ZA Mr. Gbenga Abiodun abiodun234@gmail.com
 
13
  Modelling the impact of temperature and rainfall on the population dynamics of An. gambiae  
  Gbenga Abiodun  
 
University of the Western Cape, South Africa
 
  ABSTRACT  
  Malaria parasites are strongly dependent on Anopheles mosquitoes for transmission; for this reason, mosquito population dynamics are a crucial determinant of malaria risk. However, temperature and rainfall play a significant role in both aquatic and adult stages of the {\it Anopheles}. Consequently, it is important to understand the biology of malaria vector mosquitoes in the study of malaria transmission. In this study, we develop a climate-based, ordinary-differential-equation model to analyze how rainfall and temperature determine mosquito population size. In the model, we consider in detail the influence of ambient temperature on gonotrophic and sporogonic cycles over Amajuba District, KwaZulu-Natal Province, South Africa. In particular, we further use the model to simulate the spatial distribution of the mosquito biting rate over the study region. Our results reflect high seasonality of the population of An. gambiae over the region and also demonstrate the influence of climatic factors on the mosquito population dynamics.  
 
 
International Conference for Mathematics
and Applications (ICMA15)
Academy of Scientific Research and Technology
27 – 29 DEC. 2015
Cairo, Egypt
 
 
المؤتمر الدولي في الرياضيات
(ICMA15)وتطبيقاتها 
أكاديمية البحث العلمي والتكنولوجيا
2015 ديسمبر 29 - 27
القاهرة  ـ  جمهورية مصر العربية
 
www.asrt.sci.eg  -  ncm-eg.org ICMA15.msa.edu.eg www.msa.edu.eg
 

Dynamical Systems and Applications.
7
TUE: 29-12-2015 Hall[C] Oral - Sec12 ( 5 )  
10:00 : 10:15
 
DSA - 5 US Dr. Gamal Elnagar GELNAGAR@uscupstate.edu
 
13
  Optimal Control Computation for Non-stationary Aerodynamic Integro-Differential Equations  
  Gamal N. Elnagar  
 
Department of Mathematics, University of South Carolina, Spartanburg, USA
 
  ABSTRACT  
  The spectral methods of G. N. Elnagar, which yield spectral convergence rate for the approximate solutions of Fredholm and Volterra-Hammerstein integral equations, is generalized in order to solve the larger class of integro-differential functional operator equation control systems with spectral accuracy. The proposed method is based on the idea of relating spectrally constructed grid points to the structure of projection operators which will be used to approximate the control vector and the associated state vector. These projection operators are spectrally constructed using Lagrange polynomials as trial functions. Due to its dynamic nature, the proposed method avoids many of the numerical difficulties typically encountered in solving standard integro-differential functional equation control systems. An illustrated example is included to confirm the efficiency and applicability of the proposed method.  
 
 
International Conference for Mathematics
and Applications (ICMA15)
Academy of Scientific Research and Technology
27 – 29 DEC. 2015
Cairo, Egypt
 
 
المؤتمر الدولي في الرياضيات
(ICMA15)وتطبيقاتها 
أكاديمية البحث العلمي والتكنولوجيا
2015 ديسمبر 29 - 27
القاهرة  ـ  جمهورية مصر العربية
 
www.asrt.sci.eg  -  ncm-eg.org ICMA15.msa.edu.eg www.msa.edu.eg
 

Dynamical Systems and Applications.
8
TUE: 29-12-2015 Hall[C] Oral - Sec12 ( 6 )  
10:15 : 10:30
 
DSA - 6 EG Assoc.Prof. Tarek Amer tarek.amer@science.tanta.edu.eg
 
13
  On the motion of a symmetric rigid body under the action of a Newtonian force field and a gyrostatic moment vector  
  Tarek Saleh Amer  
 
Mathematics Department, Faculty of Science, Tanta university
 
  ABSTRACT  
  The present work, deals with the motion of a symmetric rigid body about one of its principle axes in the presence of Newtonian force field additional to a gyrostatic moment vector whose first and third components are differ from zero. It is assumed that the center of mass of the body is shifted by a small quantity relative to the dynamic symmetry axis. This quantity permits us to introduce a small parameter. The governing equations of motion are studied under certain initial conditions and the periodic solutions of these equations are obtained using the small parameter method. The periodic solutions for the case of irrational frequencies ratio are investigated. These solutions are geometrically interpreted using Euler's angles to represent the motion at any instance of time. The graphical representations of the obtained solutions and the phase plane diagrams describing the stability of these solutions are is announced during several plots. Discussion of the results is presented to reinforce the importance of the considered gyrostatic moment and the Newtonian force field. The importance of this problem due to wide range of its applications in different industries such as airplanes, submarines, compasses, spaceships, guided missiles and like.  
 
 
International Conference for Mathematics
and Applications (ICMA15)
Academy of Scientific Research and Technology
27 – 29 DEC. 2015
Cairo, Egypt
 
 
المؤتمر الدولي في الرياضيات
(ICMA15)وتطبيقاتها 
أكاديمية البحث العلمي والتكنولوجيا
2015 ديسمبر 29 - 27
القاهرة  ـ  جمهورية مصر العربية
 
www.asrt.sci.eg  -  ncm-eg.org ICMA15.msa.edu.eg www.msa.edu.eg
 

Dynamical Systems and Applications.
9
TUE: 29-12-2015 Hall[C] Oral - Sec15 ( 1 )  
03:15 : 03:30
 
DSA - 7 EG Dr. Abdelalim Elsadany aelsadany1@yahoo.com
 
13
  Dynamical behavior of fractional order food chain model and its its discretization  
  A. A. Elsadany , A. E. Matouk  
 
Department of Basic Science, Faculty of Computers and Informatics, Ismailia 41522, Suez Canal University, Egypt
Mathematics Department, Faculty of Science, Hail University, Hail, 2440, Saudi Arabia
 
  ABSTRACT  
  In this paper, the fractional-order food chain model and its discretization are investigated. The sufficient conditions for existence and uniqueness of the solution of the proposed system are shown. Analytical conditions of the stability of the system’s nonnegative steady states are proved. Furthermore, the analytical conditions of stability of the discretized system are also studied. It is shown that the system’s fractional parameter has effect on the stability of the discretized system which shows rich variety of dynamical analysis such as Hopf bifurcation, an attractor crisis and chaotic attractors. Numerical simulations are used to support the analytical results.  
 
 
International Conference for Mathematics
and Applications (ICMA15)
Academy of Scientific Research and Technology
27 – 29 DEC. 2015
Cairo, Egypt
 
 
المؤتمر الدولي في الرياضيات
(ICMA15)وتطبيقاتها 
أكاديمية البحث العلمي والتكنولوجيا
2015 ديسمبر 29 - 27
القاهرة  ـ  جمهورية مصر العربية
 
www.asrt.sci.eg  -  ncm-eg.org ICMA15.msa.edu.eg www.msa.edu.eg
 

Dynamical Systems and Applications.
10
TUE: 29-12-2015 Hall[C] Oral - Sec15 ( 2 )  
03:30 : 03:45
 
DSA - 8 EG Dr. Mohamed Ali Bek m.ali@f-eng.tanta.edu.eg
 
13
  Asymptotic analysis of kinematically excited spring pendulum near resonances  
  Mohamed Ali Bek , Tarek Saleh Amer , Ebrahim Said  
 
Physics and Engineering Mathematics Department, Faculty of Engineering, Tanta university, Egypt
Mathematics Department, Faculty of Science, Tanta university, Egypt
Master student
 
  ABSTRACT  
  The dynamic response of a non-linear multi degree of freedom mechanical system is studied. The harmonically and kinematically excited spring pendulum moving in elliptic path is considered as a good example of several engineering applications. The multiple-scale method is applied to analytically solve the equations of motion and identify resonance of the system. In addition, the amplitude and phase variables were recognized to investigate steady state solutions and verify their stability.  
 
 
International Conference for Mathematics
and Applications (ICMA15)
Academy of Scientific Research and Technology
27 – 29 DEC. 2015
Cairo, Egypt
 
 
المؤتمر الدولي في الرياضيات
(ICMA15)وتطبيقاتها 
أكاديمية البحث العلمي والتكنولوجيا
2015 ديسمبر 29 - 27
القاهرة  ـ  جمهورية مصر العربية
 
www.asrt.sci.eg  -  ncm-eg.org ICMA15.msa.edu.eg www.msa.edu.eg
 

Dynamical Systems and Applications.
11
TUE: 29-12-2015 Hall[C] Oral - Sec15 ( 3 )  
03:45 : 04:00
 
DSA - 9 EG Dr. Mahmoud Saleh drmhsaleh@yahoo.com
 
13
  Non-Linear Dynamic System by Fuzzy Logic Controller  
  Mahmoud Hanafy Saleh , Tarek Anwar Madbouly  
 
Saleh
Madbouly
 
  ABSTRACT  
  This paper presents a new approach for designing a Supervisory Hierarchical Fuzzy Logic Controller"SHFLC"for a dynamically multivariable nonlinear coupling system. The conventional controller with constant gains for different operating points may not be sufficient to guarantee satisfactory performance for Robot manipulator. Therefore, the knowledge-based Supervisory Hierarchical Fuzzy Logic Controller is proposed either to cope with the operating conditions or to remove any fixed mode. The Supervisory Hierarchical Fuzzy Logic Controller utilizes the error and the change of error as fuzzy linguistic inputs to regulate the system performance. The proposed programs have been developed to simulate the dynamic behavior of the robotic system. The new controller uses only the available information of the input-output for controlling the position and velocity of the robot axes of the motion of the end effectors  
 
 
International Conference for Mathematics
and Applications (ICMA15)
Academy of Scientific Research and Technology
27 – 29 DEC. 2015
Cairo, Egypt
 
 
المؤتمر الدولي في الرياضيات
(ICMA15)وتطبيقاتها 
أكاديمية البحث العلمي والتكنولوجيا
2015 ديسمبر 29 - 27
القاهرة  ـ  جمهورية مصر العربية
 
www.asrt.sci.eg  -  ncm-eg.org ICMA15.msa.edu.eg www.msa.edu.eg
 

Dynamical Systems and Applications.
12
TUE: 29-12-2015 Hall[C] Oral - Sec15 ( 4 )  
04:00 : 04:15
 
DSA - 10 EG Ms. Asmaa Awad asmaa_math@yahoo.ca
 
13
  Analysis of price and quantity competition under environmental taxes  
  Dr. A. A. Elsadany , A.M. Awad  
 
Department of Basic Science, Faculty of Computers and Informatics, Suez Canal University, Ismailia 41522, Egypt
Department of Basic Science, Faculty of Computers and Informatics, Suez Canal University, Ismailia 41522, Egypt
 
  ABSTRACT  
  This paper examines the difference between price and quantity competition in a mixed duopoly with environmental tax, in a mixed duopoly one public firm competes with one private firm in the market. Also, we study the dynamics of a heterogeneous Bertrand duopoly model with bounded rationality and naive players with horizontal product differentiation. Equilibria and local stability properties are analyzed. We investigate numerically the dynamical properties of the model. The Nash equilibrium loses stability through a period-doubling bifurcation and the system eventually becomes chaotic. The chaotic behavior of the model has been controlled by using feedback control method.  
 
 
International Conference for Mathematics
and Applications (ICMA15)
Academy of Scientific Research and Technology
27 – 29 DEC. 2015
Cairo, Egypt
 
 
المؤتمر الدولي في الرياضيات
(ICMA15)وتطبيقاتها 
أكاديمية البحث العلمي والتكنولوجيا
2015 ديسمبر 29 - 27
القاهرة  ـ  جمهورية مصر العربية
 
www.asrt.sci.eg  -  ncm-eg.org ICMA15.msa.edu.eg www.msa.edu.eg
 

Dynamical Systems and Applications.
13
TUE: 29-12-2015 Hall[C] Oral - Sec15 ( 5 )  
04:15 : 04:30
 
DSA - 12 RU Dr. Kholmirzo Kholmurodov mirzo@jinr.ru
 
13
  Molecular Dynamics Simulations on the Nucleotides, Peptides and DNA Interactions with Metallic Nanoparticles inside of a Carbon Nanotube  
  Kholmurodov Kh.T. , Khusenov M.A. , Zaki M.M. , Sweilam N.H.  
 
Joint Institute for Nuclear Research 141980, Dubna, Moscow Region, Russian Federation
Moscow State University of Technology "STANKIN" 127994, Moscow, Russian Federation
Cairo University 12613, Giza, Egypt
Cairo University 12613, Giza, Egypt
 
  ABSTRACT  
  The interaction process between the nucleotides, peptides and DNA and gold nanoparticles (NPs) have been investigated inside of a carbon nanotube (CNT) matrix using molecular dynamics (MD) simulation method. The correlation effects between the weak Van der Waals (VdW) nonbonding forces and intramolecular bond vibrations for the nucleotides interacting with the NP in a confined CNT environment have been described and analyzed. The entire system (the nucleotide, gold NPs and CNT) were allowed to interact with each other by the VdW forces only. The Lennard-Jones short-ranged interaction was assumed between the nucleotide, NP and CNT. For the CNT a many body Tersoff potential having a quantum-chemistry nature was used. So far, the so-called hybrid MD approach, where the quantum-chemistry potential in combination with a classical trajectory calculation applied, was realized. The nucleotide – metallic nanoparticles – carbon nanotube system represents a great interest in many aspects of modern electronic and bio-nano-technologies, for example, in DNA nanotechnology, in nanorobotic design for a drug delivery inside living cell, for the development of electronic mobile diagnostic facilities and so on.