Analysis of the causes and consequences of the field of networking with emphasis on mathematical models and algorithms of complex networks.

Emergent Collective behaviour (Synchronization): Interdependence between dynamical properties of coupled oscillators and network architecture.

Extreme events & Critical transitions: Routes & early prediction to recognize unexpected transition of high amplitude oscillations from bounded chaotic behavior.

Hidden attractor: Localization of attractor, which is not connected with equilibria and is hidden in the phase space.

Evolutionary games: Effect of complex behavioral relationships between rational players.

Link Frustration: Study of attractively-repulsively coupled oscillators, which frustrate the simultaneous minimization of the energy of all the interacting pairs of subunits of a system.

Explosive death in coupled oscillators: The variation of the normalized amplitude with the coupling strength exhibits an abrupt and irreversible transition to death state from an oscillatory state, which has been a common signature of first order phase transition. My research focuses on theoretical analyses of such explosive percolation.