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Recent studies of attacks on complex networks suggest that small initial breakdowns can lead to global cascades of overload failures in communication, economic trading, and supply-transportation systems, considering the defense methods is…

无序系统与神经网络 · 物理学 2007-05-23 Yukio Hayashi , Toshiyuki Miyazaki

This Letter investigates the nature of synchronization in multilayered and multiplexed populations in which the interlayer interactions are randomly pinned. First, we show that a multilayer network constructed by setting up all-to-all…

适应与自组织系统 · 物理学 2022-04-20 Ajay Deep Kachhvah , Sarika Jalan

We investigate how correlations between the diversity of the connectivity of networks and the dynamics at their nodes affect the macroscopic behavior. In particular, we study the synchronization transition of coupled stochastic phase…

无序系统与神经网络 · 物理学 2013-01-22 Bernard Sonnenschein , Francesc Sagués , Lutz Schimansky-Geier

Neural-network processing in machine learning applications relies on layer synchronization. This is practiced even in artificial Spiking Neural Networks (SNNs), which are touted as consistent with neurobiology, in spite of processing in the…

神经与进化计算 · 计算机科学 2025-10-27 Roel Koopman , Amirreza Yousefzadeh , Mahyar Shahsavari , Guangzhi Tang , Manolis Sifalakis

We show that a network of non-identical nodes, with excitable dynamics, pulse-coupled, with coupling delays depending on the Euclidean distance between nodes, is able to adapt the topology of its connections to obtain spike frequency…

适应与自组织系统 · 物理学 2023-03-27 L. Gil

Echo State Networks (ESN) are versatile recurrent neural network models in which the hidden layer remains unaltered during training. Interactions among nodes of this static backbone produce diverse representations of the given stimuli that…

机器学习 · 计算机科学 2022-05-25 Kayson Fakhar , Fatemeh Hadaeghi , Claus C. Hilgetag

Fixed-energy sandpile (FES) models, introduced to understand the self-organized criticality, show a continuous phase transition between absorbing and active phases. In this work, we study the dynamics of the deterministic FES models on…

统计力学 · 物理学 2022-01-21 Davood Fazli , Nahid Azimi-Tafreshi

In a recent article [1] we surveyed advances related to adaptation, learning, and optimization over synchronous networks. Various distributed strategies were discussed that enable a collection of networked agents to interact locally in…

最优化与控制 · 数学 2017-12-13 Ali H. Sayed , Xiaochuan Zhao

Explosive Percolation describes the abrupt onset of large-scale connectivity that results from a simple random process designed to delay the onset of the transition on an underlying random network or lattice. Explosive percolation…

无序系统与神经网络 · 物理学 2015-11-06 Raissa M. D'Souza , Jan Nagler

Many real world networks are characterized by adaptive changes in their topology depending on the dynamic state of their nodes. Here we study epidemic dynamics in an adaptive network, where susceptibles are able to avoid contact with…

种群与进化 · 定量生物学 2007-05-23 Thilo Gross , Carlos Dommar D'Lima , Bernd Blasius

Critical phenomena in complex networks, and the emergence of dynamical abrupt transitions in the macroscopic state of the system are currently a subject of the outmost interest. We report evidence of an explosive phase synchronization in…

Network topology plays an important role in governing the collective dynamics. Partial synchronization (PaS) on regular networks with a few non-local links is explored. Different PaS patterns out of the symmetry breaking are observed for…

混沌动力学 · 物理学 2009-11-11 Bin Ao , Zhigang Zheng

We study synchronization of $N$ oscillators indirectly coupled through a medium which is inhomogeneous and has its own dynamics. The system is formalized in terms of a multilayer network, where the top layer is made of disconnected…

混沌动力学 · 物理学 2015-04-24 Lucia Valentina Gambuzza , Mattia Frasca , Jesus Gomez-Gardeñes

Rhythmic activities that alternate between coherent and incoherent phases are ubiquitous in chemical, ecological, climate, or neural systems. Despite their importance, general mechanisms for their emergence are little understood. In order…

适应与自组织系统 · 物理学 2022-06-01 Max Thiele , Rico Berner , Peter A. Tass , Eckehard Schöll , Serhiy Yanchuk

Experimental studies of synchronization properties on networks with controlled connection topology can provide powerful insights into the physics of complex networks. Here, we report experimental results on the influence of connection…

混沌动力学 · 物理学 2011-07-28 Bhargava Ravoori , Adam B. Cohen , Jie Sun , Adilson E. Motter , Thomas E. Murphy , Rajarshi Roy

Collective behaviors of coupled oscillators have attracted much attention. In this Letter, we propose an ensemble order parameter(EOP) equation that enables us to grasp the essential low-dimensional dynamical mechanism of the explosive…

适应与自组织系统 · 物理学 2016-10-05 Can Xu , Jian Gao , Yuting Sun , Xia Huang , Zhigang Zheng

Despite their claimed biological plausibility, most self organizing networks have strict topological constraints and consequently they cannot take into account a wide range of external stimuli. Furthermore their evolution is conditioned by…

综合物理 · 物理学 2010-04-26 Ignazio Licata , Luigi Lella

Changes in the level of synchronization and desynchronization in coupled oscillator systems due to an external stimulus is called event related synchronization or desynchronization (ERS/ERD). Such changes occur in real life systems where…

适应与自组织系统 · 物理学 2015-05-30 Jane H. Sheeba , V. K. Chandrasekar , M. Lakshmanan

We investigate the dynamics of an epidemiological susceptible-infected-susceptible (SIS) model on an adaptive network. This model combines epidemic spreading (dynamics on the network) with rewiring of network connections (topological…

适应与自组织系统 · 物理学 2008-06-14 Thilo Gross , Ioannis G. Kevrekidis

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…