Faculty
Dr. Rakshana M
Assistant Professor
Alliance School of Applied Mathematics
Dr. Rakshana M completed her Ph.D. in Mathematics in 2025 from the Gandhigram Rural Institute (Deemed to be University), Gandhigram, an institution administered by the Ministry of Education, Government of India. Her doctoral research specialized in advanced areas of applied mathematics, with a particular focus on dynamical systems and bifurcation theory.
She holds a Master of Science degree in Mathematics (2019) from Ayya Nadar Janaki Ammal College, Sivakasi, affiliated with Madurai Kamaraj University. Her undergraduate education includes a B.Sc. in Mathematics (2017) and a Diploma in Computer Applications (2015) from SBK College, Aruppukottai, also affiliated with Madurai Kamaraj University.
Dr. Rakshana has presented three research papers at international conferences and has published four research articles in high-impact journals indexed in SCIE and SCOPUS, including publications ranked in the Q1/Q2 categories.
Her primary research interests include Dynamical Systems, Stability and Bifurcation Theory, Bifurcation Anti-Control Theory, and the qualitative behavior of mathematical models over time. She is also exploring the applications of Neural Networks and Mathematical Modeling in engineering and biological systems to study real-world phenomena.
She remains committed to contributing to the academic and research community through impactful research, interdisciplinary collaboration, and the dissemination of knowledge.
- Rakshana, M., & Balasubramaniam, P. (2025). Washout filter-based Hopf bifurcation anti-control of fractional TdBAM neural networks. International Journal of Dynamics and Control, 13(4), 1-13.
- Rakshana, M., & Balasubramaniam, P. (2025). Hopf bifurcation control of memristor-based fractional delayed tri-diagonal bidirectional associative memory neural networks under various controllers. Communications in Nonlinear Science and Numerical Simulation, 140, 108440.
- Rakshana, M., & Balasubramaniam, P. (2024). Dynamical analysis of non-electric guitar-like instruments with single saddle via Hopf bifurcation. European Physical Journal Special Topics, 1-9.
- Rakshana, M., & Balasubramaniam, P. (2023). Hopf Bifurcation of General Fractional Delayed TdBAM Neural Networks. Neural Processing Letters, 55(6), 8095-8113.
- Stability and Hopf bifurcation of a memristor based circuit system. International Conference on Applied Analysis and Discrete Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram, 22-24 January 2024.
- Factors influencing Earth - An interpretation through Bifurcation analysis by incorporating time delay. 9th International Conference on Discrete Mathematics and Mathematical Modelling in Digital Era, The Gandhigram Rural Institute (Deemed to be University), Gandhigram, 23-25 March 2023.
- Hopf Bifurcation Analysis of the Fractional Model of a Non-electric Guitar with Individual Saddles. International Conference on Mathematical Modelling, Applied Analysis and Computational Intelligence, The Gandhigram Rural Institute (Deemed to be University), Gandhigram, 02-04 March 2022.
