I have been working of problems emerging from neuroscience and address these in the framework & language of nonlinear dynamics. Within this framework, network of neurons belong to the category of network of non-linear oscillators , or a network of excitable units. At the same time I am also interested to explore systems of such oscillators in general. These are known to give rise to vast variety of coherent states - synchronization, partial synchronization, Chimera states.
Currently I am interested in questions connected to the following
- Firing Coherence in networks of integrate fire neurons
- Chimera states in Metronomes
- Phenomena of rythmic clapping
- Some aspects of finite networks of Kuramoto oscillators
- Randomenss in sensorimotor neural pathway using EEG.
Sometime back I had explored Dynamics of Biological neurons. Response of the nervous systems to a stimuli depends on the properties of the stimulus. In our work, we are investigating the dynamics of a single Hodgkin-Huxley neuron to periodic stimuli.
In the past I have also published work in Magnetohydrodynamic Turbulence. I have investigated the transfer of energy between fluid and the magnetic energy in 2-dimensions. The formalism developed in the work provides an aid to locate the scales at which magnetic field gets generated in a dynamo.