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Ramanujan Centre for Higher Mathematics

In order to extend the research and teaching activities to world wide Ramanujan Centre for Higher Mathematics (RCHM) was started in the year 2006. Dr. Kasthuri Rangan, Former Chairman ISRO supported towards the construction of RCHM and it was declared open by our former Prime Minister Dr. P. Manmohan Singh on 26.12.2011.


Aim:

The main aim is to provide a high quality education which prepares students for further study and research in Mathematics and for a wide range of career opportunities. To maintain an environment in a research – active centre in which staffs are committed to teach Mathematics as a challenging subject and to provide the support and guidance that students need, and to encourage them to take on responsibility for their educational development.

The Centre aims to conduct and foster outstanding research and learning methods in both pure and applied mathematical sciences, thus contributes and motivates to the next generation of the faculty members and research students in many spheres and the advancement of multicultural environment.

Activities

The Research Centre is regularly conducting State Level Quiz Programmes, ATM (Advanced Training in Mathematics) Schools, Workshops for students and faculty members, National and International Conferences.

The members of the research centre collaborate with international experts in their field and with researchers in India to ensure strong Indo-foreign participation in the Centre's programmes, and to stimulate the growth of pan-African research networks and partnerships.

It also maintain close ties with industry by running advanced training programmes associated with particular industrial needs, assisting in capacity building and collaboration on innovative projects.

Facilities

The Research Centre provides opportunities for resident researchers, visiting research fellows, postdoctoral fellows, and doctoral students to work within the research foci of the faculty members of the research Centre like Abstract and Fractional Differential Equations, Stability Analysis of Dynamical Systems, Neural Networks, Synchronization and Chaos Theory, Genetic Algorithms and Regulatory Networks, Graph Theory, Discrete Mathematics, Algorithmic and Algebric Graph Theory.

Collaboration

The Centre is doing research collaborations with various Universities/Institutions/ Research Centre’s like Nanjing University, Jiangsu University of Technology, Nanjing Xiaozhuang University, Zhongnan University of Economics and Law, China, Sungkyunkwan University, South Korea, University of Bielefeld, Germany, Institute for Intelligent Systems Research and Innovation, Australia, University of Derby, UK, Maejo University, Thailand, Taibah University, Saudi Arabia.

Faculty
S.No Photo Name Designation Profile
1 Dr. R. RAJA Assistant Professor and Head i/c
2 Dr. S. AMUTHA Assistant Professor
Programmes Offered

Presently we are taking classes for PG Students and also guiding for PhD Scholars in Department of Mathematics at RCHM Campus.

Moreover, we are planning to start M.Sc-PhD Integrated Programme from the academic year 2017 at the Ramanujan Centre for Higher Mathematics (RCHM) in the Alagappa University Campus.

Objectives of the Course

The minimum qualification for admission to the programme concerned is Bachelor's degree in Mathematical Sciences or an equivalent degree from a University recognised by UGC. The candidates will be shortlisted based on their performance in the entrance examination conducted by the Alagappa University. The shortlisted candidates will then be interviewed by the faculty members of our department at RCHM. Finally the selection will be made based on the cut-off from the written examination and interview.

Eligibility and Duration of the Course

The duration of the course shall be equivalent to three academic years. Approximately one third of the course credits are to be earned through a Master's project leading to a Master's thesis. The Integrated M.Sc-PhD programme shall consist of the Course work involving classroom courses as well as a research project leading to the award of the M.Sc. degree (3 years), and Research work leading to a PhD thesis and the award of Ph. D degree. Generally, the course work will be based on courses that have been approved by the syndicate and members of the board of studies of Alagappa University.

Evaluation

The evaluation of the students will be based on continuous assessment (quizzes/problem solving etc) and examinations. The Master's degree project will be evaluated at the end of the fourth semester in the third year. The students those who have a CGPA 7.0 or more at the end of two years and successfully defend their Master's thesis at the end of the third year of the programme shall be eligible for award of the Master's degree. Students who are unsuccessful in earning a CGPA of 7.0 after the first two years shall be considered ineligible for the M. Sc degree.

Course Continuation for PhD

In order to continue the studies towards a Ph. D degree the students will be required to take a General Comprehensive Examination based on the courses attended during the M. Sc course work. This exam will be conducted for the students those who have fulfilled all the course requirements for the M. Sc degree and the research project.

On satisfactory performance in the comprehensive exam and the successful completion of the M. Sc course work the students can be recommended to register for a PhD.

Moreover, a student will not be allowed more than two attempts to pass the General Comprehensive Examination. In case a student failing to pass the General Comprehensive Examination twice will be deemed ineligible for a PhD degree. They will receive an M.Sc degree after three academic years and on passing the General Comprehensive Exam they can continue research towards a PhD degree.

Syllabus
Fees Structure

The fee structure for the M.Sc. Integrated programme for three years at RCHM is as follows:

A. At the time of admission
S. No. Details of Payment (Non-Refundable) Amount
Rs.        P.
1. Admission fee 250 00
2. Identity card 150 00
3. Provisional certificate 200 00
4. Medical examination 200 00
5. Students welfare fund 200 00
6. Hostel admission 500 00
7. Alumni association subscription 500 00
8. Career development programmes 200 00
9. Placement Opportunity Programmes 200 00
Total 2400 00
B. Semester Fees
S. No. Semester Fees Amount
   Rs.    P.
1. Tuition fee (Free for SC/ST students) 3000 00
2. Laboratory fee 1500 00
3. Examination 300 00
4. Sports & internal activity 200 00
5. Medical fee 200 00
Total 5200 00
C. Total fee to be paid by the student at the time of admission (A+B)
  • Students of General & OBC category Rs 7,600
  • Students of SC & ST category Rs 4,600
Facilities

Our computer laboratories are equipped with 70 Desktop Computers which are in modern, comfortable, high computing facility and high bandwidth connection that includes Wi-Fi, which in turn has several high speed connections to researchers for intensive research works. Here our compute pool consists of homogeneous windows 7 computers. Also, we support all connection protocols popular within the research community.

Furthermore, we are having the commercial scientific software resources include Mathematica, MATLAB, Latex, C++ and Scilab. Several of these packages can be used on all desktop architectures currently supported within our department. A wide variety of open source software utilities and packages are also available. Moreover, a full support for all popular programming environments is available on all platforms.

The faculty members of our department have got the authentication to subscribe articles from Elsevier, Springer, IEEE journals etc., So, there are more than 1000 articles from various journals are freely available for reference.

Research
THRUST AREAS OF RESEARCH
  • Abstract and Fractional Differential Equations
  • Stability Analysis of Dynamical Systems
  • Neural Networks
  • Genetic Algorithms and Oscillatory Networks
  • Synchronization and Chaos Theory
  • Graph theoretic Approach to Neural Networks
  • Graph Theory
  • Discrete Mathematics
  • Algorithmic and Algebric Graph Theory
DETAILS OF RESEARCH PROJECTS
Sl. No. PRINCIPAL INVESTIGATOR   PROJECT TITLE PROJECT PERIOD FUNDING AGENCY TOTAL GRANT Rs. in Lakhs
COMPLETED PROJECTS
1. Dr. R. Raja Studies on Stability issues of Neural Networks 2013 -2015 UGC, New Delhi. 5.40
2. Dr. S. Amutha A Study on Various Half-Domination Parameters of a Graph. 2014 -2016 UGC, New Delhi. 6.00
ON-GOING PROJECTS
1. Dr. R. Raja
&
Dr. S. Amutha
Inter-departmental Research: Global Stability Analysis of Neural Networks with Time-Varying Delays: The Continuous and Discrete-time Case 2017-2019 AURF
Karaikudi
3.00
DETAILS OF AWARDS RECEIVED
Sl. No. Name of the Faculty Name of the Award Description Year of the Award Evidence (Photo Copies/Physical Evidence  for Display)
1. Dr.R.Raja Travel Grant Award DAE-NBHM 2015 Enclosed
2. Dr.R.Raja Travel Grant Award DAE-NBHM 2014 Enclosed
3. Dr.R.Raja Sir. C. V. Raman Budding Innovator Award Periyar University 2010 Enclosed
DETAILS OF OVERSEAS VISTS
Sl. No. Name of the Faculty Countries Visited Year of  Visit Purpose of Visit
1. Dr.R.Raja Beijing, China 2015 Participated in the International Congress on Industrial and Applied Mathematics (ICIAM 2015)
2. Dr.R.Raja Seoul, South Korea 2014 Participated in the International Congress of Mathematicians (ICM 2014)
DETAILS OF PROGRAMMES ORGANIZED
Sl. No. Date of the Event Name of the Conference/Seminar/Workshop/Lecture etc. Number of Sponsoring Institution No. of Participants
Key Speakers Papers
Presented
1. 20/02/2017
to
22/02/2017
International Conference on Mathematical Modeling and Computational Methods in Science and Engineering (ICMMCMSE-2017) 12 250 UGC-SAP 406
2. 15/02/2016 State Level Quiz Contest 2016
(SLQC-2016)
01 -- Alagappa University 60
3. 04/03/2014 State Level Quiz Contest 2014
(SLQC-2015)
01 -- Alagappa University 36
DETAILS OF PUBLICATIONS
  • R. Samidurai, S. Senthilraj, Q. Zhu, R. Raja and W.Hu, (2017), “Effects of leakage delays and impulsive control in 1 dissipativity analysis of Takagi – Sugeno fuzzy neural 2 networks with randomly occurring uncertainties”, Journal of The Franklin Institute, In Press, Accepted.  (SCIE, Elsevier Publication, Impact Factor: 2.327).
  • R. Raja, Q. Zhu, S. Senthilraj, R. Samidurai, (2017), “Stability analysis of uncertain neutral systems with discrete and distributed delays via the delay partition approach”, International Journal of Control, Automation and Systems, In Press, Accepted.  (SCIE, Springer Publication, Impact Factor: 0.954).
  • R. Raja, Q. Zhu, S. Senthilraj, R. Samidurai and W.Hu, (2016), “Improved results on delay-dependent control for uncertain systems with time-varying delays”, Circuits, Systems and Signal Processing, In Press, Accepted. (SCI, Springer Publication, IF: 1.178).
  • K. Balasundaram, R. Raja, Q. Zhu and S. Chandrasekaran, (2016), “New global asymptotic stability of discrete-time recurrent neural networks with multiple time-varying delays in the leakage terms and impulsive effects”, Neurocomputing, Vol.214, Pp. 420-429. (SCI, Elsevier Publication, IF: 2.083).
  • S. Senthilraj, R. Raja, Q. Zhu, R. Samidurai and H. Zhou, (2016), “Delay-dependent asymptotic stability criteria for genetic regulatory networks with impulsive perturbations”, Neurocomputing, Vol.214, Pp.981-990. (SCI, Elsevier Publication, IF: 2.083).
  • S. Senthilraj, R. Raja, Q. Zhu, R. Samidurai and Z. Yao, (2016), “Delay-interval-dependent passivity analysis of stochastic neural networks with Markovian jumping parameters and time delay in the leakage term”, Nonlinear Analysis: Hybrid Systems, Vol.22, Pp.262-275. (SCI, Elsevier Publication, IF: 2.375).
  • S. Senthilraj, R. Raja, Q. Zhu, R. Samidurai, Z. Yao, (2016), “New delay-interval-dependent stability criteria for static neural networks with time-varying delays”, Neurocomputing, Vol.186, Iss.19,  Pp. 1-7. (SCI, Elsevier Publication, IF: 2.083).
  • S. Senthilraj, R. Raja, F. Jiang, Q. Zhu and R. Samidurai, (2016), “New delay-interval-dependent stability analysis of neutral type BAM neural networks with successive time delay components”, Neurocomputing, Vol.171, Pp.1265-1280. (SCI, Elsevier Publication, IF: 2.083).
  • S. Senthilraj, R. Raja and R. Samidurai, (2016), “A note on delay dependent stability analysis of uncertain neutral systems with nonlinear perturbations”, Asian Journal of Mathematics and Computer Research, Vol.7, Iss.3, Pp.245-258. (International Press Publication)
  • R. Samidurai, S. Rajavel, R. Raja and Q. Zhu, (2015), “Robust passivity analysis for neutral-type neural networks with mixed and leakage delays”, Neurocomputing, Vol.175, Pp.635-643. (SCI, Elsevier Publication, IF: 2.083).
  • R. Suresh Kumar, G. Sugumaran, R. Raja, Q. Zhu and U. Karthik Raja, (2015),                “New stability criterion of neural networks with leakage delays and impulses: a piecewise delay method”, Cognitive Neurodynamics, Vol.10, Pp.85-98. (SCI, Springer Publication, IF: 2.159).
  • S. Senthilraj, R. Raja, Q. Zhu, R. Samidurai and Z. Yao, (2015), “Exponential passivity analysis of stochastic neural networks with leakage, distributed delays and Markovian jumping parameters”, Neurocomputing, Vol.175, Pp.401-410. (SCI, Elsevier Publication, IF: 2.083).
  • R. Raja, Q. Zhu, S. Senthilraj and R. Samidurai, (2015), “Improved stability analysis of uncertain neutral type neural networks with leakage delays and impulsive effects”, Applied Mathematics and Computation, Vol.266, Pp.1050-1069. (SCI, Elsevier Publication, IF: 1.345)
  • R. Raja, S. Senthilraj and R. Samidurai, (2015), “H? control for fuzzy neutral systems with mixed delays using delay partition approach”, Asian Journal of Mathematics and Computer Research, Vol.3, Iss.1, Pp.1-18. (International Press Publication)
  • R. Raja, U. Karthik Raja, R. Samidurai, and A. Leelamani, (2015), “Improved stochastic dissipativity analysis of uncertain discrete-time neural networks with multiple delays and impulses”, International Journal of Machine Learning and Cybernetics, Vol.6, Pp.289-305. (SCIE, Springer Publication, Impact Factor: 1.110)
  • R. Raja, U. Karthik Raja, R. Samidurai, and A. Leelamani, (2014), “Passivity analysis for uncertain discrete-time stochastic BAM neural networks with multiple time varying delays”, Neural Computing and Applications, Vol.25, Pp.751-766. (SCIE, Springer Publication, Impact Factor: 1.492)
  • R. Raja, U. Karthik Raja, R. Samidurai, and A. Leelamani, (2014), “Dynamic analysis of discrete-time BAM neural networks with stochastic perturbations and impulses”, International Journal of Machine Learning and Cybernetics, Vol.5, Iss.1, Pp.39-50. (SCIE, Springer Publication, Impact Factor: 1.110)
  • R. Raja, U. Karthik Raja, R. Samidurai, and A. Leelamani, (2013), “Dissipativity of discrete-time BAM stochastic neural networks with Markovian switching and impulses”, Journal of The Franklin Institute, Vol.350, Iss.10, Pp.3217-3247. (SCIE, Elsevier Publication, Impact Factor: 2.327).
  • U. Karthik Raja, R. Raja, R. Samidurai, and A. Leelamani, (2013), “Exponential stability for stochastic delayed recurrent neural networks with mixed time-varying delays and impulses: the continuous-time case”, Physica Scripta, Vol.87, Article ID 055802, 11 Pages. (SCIE, IOP Publication, Impact Factor: 1.194)
  • R. Raja, R. Sakthivel and S.Marshal Anthoni, (2012), “Linear matrix inequality approach to stochastic stability of uncertain delayed BAM neural networks”, IMA Journal of Applied Mathematics, Vol.78, Pp.1156-1178. (SCI, Oxford Publication, Impact Factor: 1.034)
  • R. Raja, R. Samidurai, (2012), “New delay dependent robust asymptotic stability for uncertain stochastic recurrent neural networks with discrete and distributed time varying delays”, Journal of The Franklin Institute, Vol.349, Pp. 2108-2123. (SCIE, Elsevier Publication, Impact Factor: 2.327)
  • R. Raja, R. Sakthivel and S.Marshal Anthoni, (2011), “Exponential stability for discrete-time stochastic BAM neural networks with multiple delays and impulses”, ISRN Discrete Mathematics, Vol.1, Article ID 153409, 23 pages. (Hindawi Publication)
  • R. Raja, R. Sakthivel and S.Marshal Anthoni, (2011), “Delay-dependent stability criteria of stochastic uncertain Hopfield neural networks with unbounded distributed delays and impulses”, Advances in Systems Science and applications, Vol.10, Iss.no.1, Pp.94-110. [Institute of General System Studies, Impact Factor: 0.340]
  • R. Raja and S.Marshal Anthoni, (2011), “Global exponential stability of BAM neural networks with time-varying delays: The discrete-time case”, Communications in Nonlinear Science and Numerical Simulation, Vol.16, Pp.613-622. [SCIE, Elsevier Publication, Impact Factor: 2.834]
  • R. Raja, R. Sakthivel, S.Marshal Anthoni and H. Kim, (2011), “Stability of impulsive Hopfield neural networks with Markovian switching and time-varying delays”, International Journal of Applied Mathematics and Computer Science, Vol.21, Pp.127-135. [University of Zielona Gora Publication, Impact Factor: 1.037]
  • R. Sakthivel, R. Raja and S. Marshal Anthoni, (2011), “Exponential stability for delayed stochastic BAM neural networks with Markovian jumping and impulses”, Journal of Optimization Theory and Applications, Vol.150, Pp.166-187. [SCI, Springer Publication, Impact Factor: 1.160]
  • N. Sridharan, S. Amutha and S.B. Rao, (2013), Induced Subgraphs of Gamma Graphs, Discrete Math. Algorithm. Appli.,  World Scientific Publishing company, Vol. 5, Iss No. 3, Pp. 1-5,
  • S. Amutha and N. Sridharan,(2013) “ A note on sets Vt-, Vt0, Vt+ of a simple graph G with d(G)?2” , Journal of Pure and Applied Mathematics: Advances and Applications , Scientific Advances Publishers, India, Vol. 9, No. 2,  Pp.  69-79.
DETAILS OF COLLABORATORS
Sl. No. Name of the Faculty Collaborator Name Department Affiliations
INTERNATIONAL
1. Dr.R.Raja Quanxin Zhu Mathematical Sciences and Institute of Finance and Statistics Nanjing Normal University, China
Huaiqin Wu Applied Mathematics Yanshan University, China
Jinde Cao Mathematics South East University, China
Hyunsoo Kim Mathematics Sungkyunkwan University, Suwon 440–746, South Korea
Wei Hu School of Mathematics and Physics Jiangsu University of Technology, China
Feng Jiang School of Statistics and Mathematics Zhongnan University of Economics and Law, Wuha, Hubei, China
Zhangsong Yao School of Mathematics and Information Technology Nanjing Xiaozhuang University, Nanjing, Jiangsu, China
Chee Peng Lim Institute of Intelligent System Research and Innovation Deakin University, Australia
Ovidiu Bagdasar Computing and Mathematics University of Derby, UK
Grienggrai Rajchakit Mathematics Maejo University
Hongwei Zhou School of Mathematics and Information Technology Nanjing Xiaozhuang University, Nanjing, Jiangsu, China
NATIONAL
1. Dr.R.Raja S. Marshal Anthoni Mathematics Anna University Regional Campus Coimbatore
R. Sakthivel Mathematics Bharathiar University
R. Samidurai Mathematics Thiruvalluvar University
Manoj Kumar Mathematics MNIT, Allahabad
U. Karthik Raja Mathematics Mathura College, Madurai
Alumni

As we are going to initiate the M.Sc-PhD Integrated Programme from the academic year 2017, the alumni details will be available only after 2022.

Association

Presently we are serving as a coordinator and in charge for the following cells, clubs and others in the Department of Mathematics:

S. No. Faculty Name Roles of the Faculty Names of Cells/Clubs/Others
1. Dr. R. Raja Coordinator Placement Cell
Coordinator Student Affairs and Counselling Cell
Coordinator Seminar Programmes
In charge Computer Laboratories
2. Dr. S. Amutha Coordinator Women Empowerment Cell
Coordinator S. S. Pillai Association
Placement

As we are going to initiate the M.Sc-PhD Integrated Programme from the academic year 2017, the placement details will be available only after 2022.

Magazine / Newsletters
Photos / Videos
International Conference on Mathematical Modeling and Computational Methods in Science and Engineering (ICMMCMSE-2017) February 20-22, 2017