Self-organized explosive synchronization in complex networks: Emergence of synchronization bombs

التفاصيل البيبلوغرافية
العنوان: Self-organized explosive synchronization in complex networks: Emergence of synchronization bombs
المؤلفون: Arola-Fernández, Lluís, Faci-Lázaro, Sergio, Skardal, Per Sebastian, Boghiu, Emanuel-Cristian, Gómez-Gardeñes, Jesús, Arenas, Alex
سنة النشر: 2022
المجموعة: Nonlinear Sciences
Physics (Other)
مصطلحات موضوعية: Physics - Physics and Society, Nonlinear Sciences - Adaptation and Self-Organizing Systems
الوصف: We introduce the concept of synchronization bombs as large networks of coupled heterogeneous oscillators that operate in a bistable regime and abruptly transit from incoherence to phase-locking (or vice-versa) by adding (or removing) one or a few links. Here we build a self-organized and stochastic version of these bombs, by optimizing global synchrony with decentralized information in a competitive link-percolation process driven by a local rule. We find explosive fingerprints on the emerging network structure, including frequency-degree correlations, disassortative patterns and a delayed percolation threshold. We show that these bomb-like transitions can be designed both in systems of Kuramoto -- periodic -- and R\"ossler -- chaotic -- oscillators and in a model of cardiac pacemaker cells. We analytically characterize the transitions in the Kuramoto case by combining a precise collective coordinates approach and the Ott-Antonsen ansatz. Furthermore, we study the robustness of the phenomena under changes in the main parameters and the unexpected effect of optimal noise in our model. Our results propose a minimal self-organized mechanism of network growth to understand and control explosive synchronization in adaptive biological systems like the brain and engineered ones like power-grids or electronic circuits. From a theoretical standpoint, the emergence of synchronization explosions and bistability induced by localized structural perturbations -- without any fine-tuning of global parameters -- joins explosive synchronization and percolation under the same mechanistic framework.
Comment: 17 pages, 9 figures
نوع الوثيقة: Working Paper
DOI: 10.1038/s42005-022-01039-2
URL الوصول: http://arxiv.org/abs/2203.03728
رقم الانضمام: edsarx.2203.03728
قاعدة البيانات: arXiv
الوصف
DOI:10.1038/s42005-022-01039-2