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Synchronization of coupled oscillators is a fundamental process in both natural and artificial networks. While much work has investigated the asymptotic stability of the synchronous solution, the fundamental question of the transient…

Adaptation and Self-Organizing Systems · Physics 2024-10-22 Amirhossein Nazerian , Joseph D Hart , Matteo Lodi , Francesco Sorrentino

Many real-world complex systems rely on cluster synchronization to function properly. A cluster of nodes exhibits synchronous behavior while others behave erratically. Predicting the emergence of these clusters and understanding the…

Adaptation and Self-Organizing Systems · Physics 2023-09-19 Rodrigo M. Corder , Zheng Bian , Tiago Pereira , Antonio Montalban

Many natural and human-made complex systems feature group interactions that adapt over time in response to their dynamic states. However, most of the existing adaptive network models fall short of capturing these group dynamics, as they…

Adaptation and Self-Organizing Systems · Physics 2024-08-23 Md Sayeed Anwar , S. Nirmala Jenifer , Paulsamy Muruganandam , Dibakar Ghosh , Timoteo Carletti

In this article I investigate the novel synchronization behaviors of evolving pulse-coupled oscillator networks. Unlike previous models, the time-varying mechanism is inspired by neural network development, where seldom used links die out…

Chaotic Dynamics · Physics 2014-04-15 Yuanzhao Zhang

Many real-world systems can be modeled as networks of interacting oscillatory units. Collective dynamics that are of functional relevance for the oscillator network, such as switching between metastable states, arise through the interplay…

Dynamical Systems · Mathematics 2019-08-05 Christian Bick

We study synchronization dynamics of a population of pulse-coupled oscillators. In particular, we focus our attention in the interplay between networks topological disorder and its synchronization features. Firstly, we analyze…

Statistical Mechanics · Physics 2009-10-31 X. Guardiola , A. Diaz-Guilera , M. Llas , C. J. Perez

In this work we study the dynamics of Kuramoto oscillators on a stochastically evolving network whose evolution is governed by the phases of the individual oscillators and degree distribution. Synchronization is achieved after a threshold…

Physics and Society · Physics 2015-10-28 R. K. Singh , Trilochan Bagarti

We review our recent work on the synchronization of a network of delay-coupled maps, focusing on the interplay of the network topology and the delay times that take into account the finite velocity of propagation of interactions. We assume…

Chaotic Dynamics · Physics 2009-11-13 Arturo C. Martí , Marcelo Ponce , Cristina Masoller

Does the assignment order of a fixed collection of slightly distinct subsystems into given communication channels influence the overall ensemble behavior? We discuss this question in the context of complex networks of non-identical…

Adaptation and Self-Organizing Systems · Physics 2015-09-30 Celso Freitas , Elbert Macau , Ricardo Luiz Viana

Synchronization and emergence of a collective mode is a general phenomenon, frequently observed in ensembles of coupled self-sustained oscillators of various natures. In several circumstances, in particular in cases of neurological…

Adaptation and Self-Organizing Systems · Physics 2015-06-16 Ghazal Montaseri , Mohammad Javad Yazdanpanah , Arkady Pikovsky , Michael Rosenblum

Small world networks interpolate between fully regular and fully random topologies and simultaneously exhibit large local clustering as well as short average path length. Small world topology has therefore been suggested to support network…

Disordered Systems and Neural Networks · Physics 2015-05-19 Carsten Grabow , Steven Hill , Stefan Grosskinsky , Marc Timme

Synchronization is an omnipresent collective phenomenon in nature and technology, whose understanding is in particular for real-world systems still elusive. We study the synchronization transition in a phase oscillator system with two…

Adaptation and Self-Organizing Systems · Physics 2023-08-02 Rico Berner , Annie Lu , Igor M. Sokolov

Transients are fundamental to ecological systems with significant implications to management, conservation, and biological control. We uncover a type of transient synchronization behavior in spatial ecological networks whose local dynamics…

Populations and Evolution · Quantitative Biology 2020-11-24 Huawei Fan , Ling-Wei Kong , Xingang Wang , Alan Hastings , Ying-Cheng Lai

A widely held assumption on network dynamics is that similar components are more likely to exhibit similar behavior than dissimilar ones and that generic differences among them are necessarily detrimental to synchronization. Here, we show…

Adaptation and Self-Organizing Systems · Physics 2021-10-22 Yuanzhao Zhang , Jorge L. Ocampo-Espindola , István Z. Kiss , Adilson E. Motter

We study the dynamics of network-coupled phase oscillators in the presence of coupling frustration. It was recently demonstrated that in heterogeneous network topologies, the presence of coupling frustration causes perfect phase…

Adaptation and Self-Organizing Systems · Physics 2016-04-27 Per Sebastian Skardal , Dane Taylor , Jie Sun , Alex Arenas

We study the synchronization of chaotic units connected through time-delayed fluctuating interactions. We focus on small-world networks of Bernoulli and Logistic units with a fixed chiral backbone. Comparing the synchronization properties…

In this thesis we study synchronization phenomena in natural and artificial coupled multi-component systems, applicable to the scalability of parallel discrete-event simulation for systems with asynchronous dynamics. We analyze the…

Statistical Mechanics · Physics 2009-09-29 Hasan Guclu

The emergence of dynamical abrupt transitions in the macroscopic state of a system is currently a subject of the utmost interest. Given a set of phase oscillators networking with a generic wiring of connections and displaying a generic…

Adaptation and Self-Organizing Systems · Physics 2014-02-14 I. Leyva , I. Sendiña-Nadal , J. A. Almendral , A. Navas , S. Olmi , S. Boccaletti

Realistic large-scale networks display an heterogeneous distribution of connectivity weights, that might also randomly vary in time. We show that depending on the level of heterogeneity in the connectivity coefficients, different…

Mathematical Physics · Physics 2012-09-13 Geoffroy Hermann , Jonathan Touboul

We investigate quantum synchronization phenomenon within the complex network constituted by coupled optomechanical systems and prove the unknown identical quantum states can be shared or distributed in the quantum network even though the…

Quantum Physics · Physics 2017-03-08 Wenlin Li , Chong Li , Heshan Song