Research Projects

Collective dynamical patterns are prevalent in various fields, including physics, biology, neuroscience, engineering, and social-economic systems. The study of these patterns has led to new concepts and ideas, making understanding complex networks essential for manipulating and controlling them for beneficial outcomes. synchronization patterns have been essential in many real-world networks, but the interaction between synchronization and swarming is still largely unexplored. The interaction between synchronization and swarming is a novel class of collective dynamics that is still underexplored. The investigation of various collective dynamical patterns in coupled oscillators and swarmlators is an active area of research, but the effects of noise, feedback, external stimuli or event, delay coupling, symmetry-breaking interaction, the robustness of higher-order interaction, and force are still under-explored. This project aims to develop a deep understanding of a broad class of coupled oscillators and swarmalators' complex dynamical systems with external stimuli, emphasizing competitive interactions in swarmalator systems. The findings will enrich the current study of swarmalators and coupled oscillators, with potential applications in robotics and magnetic domain walls.