HubSync · Synchronization in heterogeneous Networks

Synchronization in heterogeneous Networks

In most realistic networked systems where synchronization is relevant, strong synchronization may also be related to pathological activities such as epileptic seizures and social catastrophes in epidemic spreading. Recent experiments have revealed that various levels of synchronization are needed to avoid pathological activities and enable a system to have flexibility and robustness. Despite the growing interest in network dynamics, the present state of knowledge cannot explain the various levels of synchronization observed in real-life complex systems. During our project we have developed a mathematical theory for the emergence of structured synchronisation in heterogeneous networks of interacting dynamical systems. Our results provide ways to understand how the underlying network connectivity can affect the overall dynamics. For example, our results show that in directed networks structural improvements can lead to functional failures. These results play a vital role towards the ultimate goal of understanding the emerging spontaneous collective motion in complex systems. In addition to the publications presented in Section A, we have 2 accepted papers and 5 preprints [1] J. Stroud, M. Barahona and T. Pereira Dynamics of Cluster Formation in Modular Networks To appear as a Chapter on Springer Cybernetics. [2] Philipp Pade and Tiago Pereira, Improving network connectivity can lead to functional failures Accepted in Nature Scientific Reports 2015. [3] Tiago Pereira and Dmitry Turaev Fast Fermi Acceleration and Entropy Growth To appear in Mathematical Modelling of Natural Phenomena (Cambridge) [4] P. Yadav, J.A. McCann, T. Pereira, Emergent Broadcast Slot Coordination in Duty-cycled Multi-hop Networks: From Theory to Practice Submitted to Transactions on Autonomous and Adaptive Systems. [5] T. Pereira, S. van Strien, J.S.W Lamb, Dynamics of Coupled Maps in Heterogeneous Networks Submitted to Communications in Mathematical Physics [6] Eduardo Garibaldi and Tiago Pereira Bifurcations of mutually coupled equation in random graphs Submitted to Bulletin of the London Mathematical Society [7] Vladimir Vlasov, Yong Zou, and Tiago Pereira Explosive Synchronization is Discontinuous Submitted to the Journal of Statistical Physics [8] Joseph D. Hart, Jan P/ Pade, Tiago Pereira, Thomas E. Murphy, and Rajarshi Roy Adding connections can hinder network synchronization of time-delayed oscillators submitted to Physical Review Letters

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