Research Interests:
Nonlinear Dynamics, Complex Systems, Synchronization, Mathematical Modelling.
My research explores the interplay between spatial dynamics and phase synchronization in coupled oscillator systems.
Current topics include:
Swarmalator systems with Winfree-type and Kuramoto-type phase coupling.
Distance-dependent synchronization models .
Elliptical heterogeneity and forced phase dynamics.
Bifurcation and stability analysis of multi-oscillator networks.
Objective:
To understand how local interactions among agents can lead to emergent collective behavior.