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People/ Faculty/ Sachinkumar Balasaheb Bhalekar

Sachinkumar Balasaheb Bhalekar

Professor

School of Mathematics and Statistics, University of Hyderabad

Email: sachinbhalekar[AT]uohyd[DOT]ac[DOT]in

Office: Room number 37

Google Scholar Personal Website

Academic Background

  • Ph.D. (2011): University of Pune, Pune, India
  • M.Sc. (2007): University of Pune, Pune, India

Research Interests

Dynamical Systems, Fractional Calculus

Selected Publications

Journal Papers

  1. Gade, Prashant M., Sachin Bhalekar, and Janardhan Chevala. "Stability analysis of the maps with variable fractional order." Mathematics and Computers in Simulation 249 (2026): 1006-1021. Journal · arXiv
  2. Gupta, Deepa, and Sachin Bhalekar. "Fractional order sunflower equation: stability, bifurcation and chaos." The European Physical Journal Special Topics 234.8 (2025): 1595-1605. Journal · arXiv
  3. Bhalekar, Sachin, and Pragati Dutta. "Analysis of a class of two-delay fractional differential equation." Chaos: An Interdisciplinary Journal of Nonlinear Science 35.1 (2025): 013155. Journal · arXiv
  4. Bhalekar, Sachin, Prashant M. Gade, and Divya D. Joshi. "Bidirectional coupling in fractional order maps of incommensurate orders." Chaos, Solitons & Fractals 186 (2024): 115324. Journal
  5. Joshi, Divya D., Sachin Bhalekar, and Prashant M. Gade. "Stability analysis of fractional difference equations with delay." Chaos: An Interdisciplinary Journal of Nonlinear Science 34.5 (2024): 053111. Journal · arXiv
  6. Bhalekar, Sachin, and Prashant M. Gade. "Fractional-order periodic maps: Stability analysis and application to the periodic-2 limit cycles in the nonlinear systems." Journal of Nonlinear Science 33.6 (2023): 119. Journal · arXiv
  7. Bhalekar, Sachin, and Prashant M. Gade. "Stability analysis of fixed point of fractional-order coupled map lattices." Communications in Nonlinear Science and Numerical Simulation 113 (2022): 106587. Journal · arXiv
  8. Priyanka, M., P. Muthukumar, and Sachin Bhalekar. "Stability and bifurcation analysis of two-species prey–predator model incorporating external factors." International Journal of Bifurcation and Chaos 32.11 (2022): 2250172. Journal
  9. Bhalekar, Sachin, and Deepa Gupta. "Stability and bifurcation analysis of a fractional order delay differential equation involving cubic nonlinearity." Chaos, Solitons & Fractals 162 (2022): 112483. Journal · arXiv
  10. Bhalekar, Sachin, and Madhuri Patil. "Nonexistence of invariant manifolds in fractional-order dynamical systems." Nonlinear Dynamics 102.4 (2020): 2417-2431. Journal · arXiv

Awards & Accolades

  • I received the “Padmashree Late N. S. Venkatesan Gold Medal” for the best Ph.D. Thesis in Mathematics from the University of Pune in 2013.
  • I received the “A M Mathai Research Excellence Award” from the Society for Special Functions & Their Applications in 2018.
  • I have been listed as a “Top 2% highly cited researchers” every year since 2021. The survey is based on data compiled and analysed by Jeroen Baas, Kevin Boyack, and John P.A. Ioannidis of Stanford University, Elsevier, and SciTech Strategies, and published in the highly respected journal PLOS Biology. Dataset Link