WELCOME TO MY PHASE SPACE
WELCOME TO MY PHASE SPACE
“Where smoothness ends, rich and unexpected dynamics begin.”
I am a researcher fascinated by how complex behaviour emerges when systems are no longer smooth. My work focuses on nonsmooth dynamical systems, where sudden changes, thresholds, and discontinuities play a central role in shaping dynamics.
What motivates my research is the observation that many real-world systems, from engineering to biology, do not evolve smoothly. My work explores how discontinuities influence system behaviour, including the formation of sliding regions and trajectory collisions, and how these features lead to rich dynamics such as local and global bifurcations, multistability, chaos, and rare transitions.
Through a combination of mathematical theory, large-scale computation, and real-world motivation, I study these effects in systems ranging from mechanical stick–slip motion to ecological models with multiple thresholds.
I’m currently immersed in my Ph.D. journey at the Department of Applied Mechanics & Biomedical Engineering at IIT Madras, under the mentorship of Dr. Ganesh Tamadapu. I joined IIT Madras as an M.S. scholar and later upgraded to a Ph.D. research scholar. Before this, I completed my B.Tech in Mechanical Engineering from Sri Venkateswara University, Tirupati.
Nonsmooth and discontinuous dynamical systems
Multiple Time-Scale Dynamical Systems
Nonlinear Dynamics, Bifurcations, and Chaos
Stochastic Dynamics in Piecewise-Smooth Systems
📄The manuscript titled "Non-smooth dynamics with double discontinuity and frequency switching: a case study of a predator–prey system" has been published in Nonlinear Dynamics.[Link]
🎤Contributed Talk at Recent Advances in Non-Smooth Dynamics Colloquium, University of Exeter, UK, December 2025. [Slides]
📄The manuscript titled "Hidden Dynamics of a Self-excited SD Oscillator" has been published in Nonlinear Dynamics. [Link]
🎤Oral Presentation at ENOC Conference, TU Delft, The Netherlands, July 2024. [Slides]