Malbor Asllani
Department of Mathematics,
Florida State University (FSU)
"Patterns, structure and dynamics of non-normal networked systems"
Wednesday, Jan 29, 2025
Abstract:
This study delves into the complex dynamics of non-normal networks, highlighting their profound implications for system stability and the emergence of phenomena such as leader nodes, synchronization, and chimera states. By introducing a novel analytical framework, the research distinguishes the nuanced behaviors of non-normal networks from their normal counterparts, emphasizing non-normality's pivotal role in shaping network resilience and adaptability. Through a combination of rigorous mathematical modeling and empirical analysis, we uncover how non-normal structures amplify transient responses, leading to unexpected behaviors under perturbations. Notably, our findings reveal the critical influence of non-normality in the formation of leader nodes that guide network dynamics, facilitate enhanced synchronization in systems where coherence was previously challenging, and promote the emergence of chimera states, characterized by coexisting synchronized and desynchronized dynamics. These insights challenge traditional views in network theory and provide groundbreaking perspectives on designing and controlling resilient networked systems across various disciplines, from biological networks to technological and social systems. By elucidating the intricate ways non-normality influences the emergence and stability of complex network states, our work advances understanding in complex systems, underscoring the significance of non-normal interactions in predicting and managing networked systems' behavior.
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