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Dr. Chittaranjan Hens

Research work done by Dr. Chittaranjan Hens on Emergent stability in complex network dynamics has been published in Nature Physics. Dr. Hens is affiliated to the Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata,  and Center for Computational Natural Sciences and Bioinformatics, IIITH. The other authors of this paper are Chandrakala Meena, National Chemical Laboratory CSIR: Pune and  Bar-Ilan University, Ramat-Gan, Israel; Suman Acharyya, Bar-Ilan University, Ramat-Gan, Israel; Simcha Haber, Bar-Ilan University, Ramat-Gan, Israel; Stefano Boccaletti, CNR (Consiglio Nazionale delle Ricerche): Florence, Tuscany and Baruch Barzel, Bar-Ilan University, Ramat-Gan, Israel. 

Research work as explained by the authors:

The stable functionality of networked systems is a hallmark of their natural ability to coordinate between their multiple interacting components. Yet, real-world networks often appear random and highly irregular, raising the question of what are the naturally emerging organizing principles of complex system stability. The answer is encoded within the system’s stability matrix—the Jacobian—but is hard to retrieve, due to the scale and diversity of the relevant systems, their broad parameter space and their nonlinear interaction dynamics. Here we introduce the dynamic Jacobian ensemble, which allows us to systematically investigate the fixed-point dynamics of a range of relevant network-based models. Within this ensemble, we find that complex systems exhibit discrete stability classes. These range from asymptotically unstable (where stability is unattainable) to sensitive (where stability abides within a bounded range of system parameters). Alongside these two classes, we uncover a third asymptotically stable class in which a sufficiently large and heterogeneous network acquires a guaranteed stability, independent of its microscopic parameters and robust against external perturbation. Hence, in this ensemble, two of the most ubiquitous characteristics of real-world networks—scale and heterogeneity—emerge as natural organizing principles to ensure fixed-point stability in the face of changing environmental conditions.

 More details: https://www.nature.com/articles/s41567-023-02020-8

 

April 2023