Life is interesting because almost every aspect of it is nonlinear. Living in this particular universe is interesting because almost every natural phenomenon is nonlinear. It thus is inevitable that an inquisitive and self-aware mind would undertake the curiously adventurous journey of trying to understand the order and chaos in nonlinear systems. But sadly(?!) life is short and there are only twenty-four hours in each day. A mortal being cannot even dream of understanding each and every nonlinear phenomenon in the known and the unknown parts of the cosmos. Consequently, one has to compromise and patiently nibble into the gigantic and highly branched research area(s) of nonlinear dynamics. I try doing exactly that.

My current research interests are in the following nonlinear dynamical systems:
  1. Self-sustained oscillators: Specifically, I am interested in how to develop Hamiltonian formalism for such systems, e.g., van der Pol oscillator, and subsequently my goal is to understand the meaning and implications of quantization of such systems.
  2. Synchronization of chaotic systems: Basically, I try to understand how and when coupled chaotic oscillators can be made to synchronize.
  3. Evolutionary games: My main motivation is to figure out the effect of chaos in evolutionary games modeled using either differential or difference equations.
  4. Turbulent rotating fluids: I want to understand why rotation makes many statistical features of homogeneous isotropic three-dimensional turbulence mimic that of the two-dimensional turbulence.