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We study the synchronization of two model neurons coupled through a synapse having an activity-dependent strength. Our synapse follows the rules of Spike-Timing Dependent Plasticity (STDP). We show that this plasticity of the coupling…

Biological Physics · Physics 2009-11-07 Valentin P. Zhigulin , Mikhail I. Rabinovich , Ramon Huerta , Henry D. I. Abarbanel

Synchronization plays a fundamental role in healthy cognitive and motor function. However, how synchronization depends on the interplay between local dynamics, coupling and topology and how prone to synchronization a network with given…

Neurons and Cognition · Quantitative Biology 2018-06-06 David Papo , Javier M. Buldú

We report on the origin of synchronized bursting dynamics in various networks of neural spiking oscillators, when a certain threshold in coupling strength is exceeded. These ensembles synchronize at relatively low coupling strength and lose…

Chaotic Dynamics · Physics 2007-05-23 Mikhail V. Ivanchenko , Grigory V. Osipov , Vladimir D. Shalfeev , Jurgen Kurths

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…

Chaotic Dynamics · Physics 2011-07-28 Bhargava Ravoori , Adam B. Cohen , Jie Sun , Adilson E. Motter , Thomas E. Murphy , Rajarshi Roy

In this report, we investigate the synchronization of temporal activity in an electrically coupled neural network model. The electrical coupling is established by homotypic static gap-junctions (Connexin 43). Two distinct network…

Neurons and Cognition · Quantitative Biology 2007-05-23 Rajesh G Kavasseri , Radhakrishnan Nagarajan

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

Synchronization and resonance on networks are some of the most remarkable collective dynamical phenomena. The network topology, or the nature and distribution of the connections within an ensemble of coupled oscillators, plays a crucial…

Dynamical Systems · Mathematics 2023-03-31 Paolo Bartesaghi

This article investigates the emergence of phase synchronization in a network of randomly connected neurons by chemical synapses. The study uses the classic Hodgkin-Huxley model to simulate the neuronal dynamics under the action of a train…

We investigate in depth the synchronization of coupled oscillators on top of complex networks with different degrees of heterogeneity within the context of the Kuramoto model. In a previous paper [Phys. Rev. Lett. 98, 034101 (2007)], we…

Statistical Mechanics · Physics 2008-01-29 Jesus Gomez-Gardenes , Yamir Moreno , Alex Arenas

We study collective synchronization of pulse-coupled oscillators interacting on asymmetric random networks. We demonstrate that random matrix theory can be used to accurately predict the speed of synchronization in such networks in…

Disordered Systems and Neural Networks · Physics 2009-11-10 Marc Timme , Fred Wolf , Theo Geisel

We study systems of identical coupled oscillators introducing a distribution of delay times in the coupling. For arbitrary network topologies, we show that the frequency and stability of the fully synchronized states depend only on the mean…

Chaotic Dynamics · Physics 2016-07-04 Lucas Wetzel , Luis G. Morelli , Andrew C. Oates , Frank Julicher , Saul Ares

Synchrony is one of the most common dynamical states emerging on networks. The speed of convergence towards synchrony provides a fundamental collective time scale for synchronizing systems. Here we study the asymptotic synchronization times…

Disordered Systems and Neural Networks · Physics 2015-06-30 Carsten Grabow , Stefan Grosskinsky , Marc Timme

We study the influence of network topology and connectivity on the synchronization properties of chaotic logistic maps, interacting with random delay times. Four different types of topologies are investigated: two regular (a ring-type and a…

Chaotic Dynamics · Physics 2007-05-23 Arturo C. Marti , C. Marcelo Ponce , Cristina Masoller

The synchronization behavior of networked chaotic oscillators with periodic coupling is investigated. It is observed in simulations that the network synchronizability could be significantly influenced by tuning the coupling frequency, even…

Chaotic Dynamics · Physics 2018-07-18 Sansan Li , Na Sun , Li Chen , Xingang Wang

Synchronization is an important behavior that characterizes many natural and human made systems composed by several interacting units. It can be found in a broad spectrum of applications, ranging from neuroscience to power-grids, to mention…

Adaptation and Self-Organizing Systems · Physics 2025-10-22 Riccardo Muolo , Timoteo Carletti , James P. Gleeson , Malbor Asllani

We study the effects of nonzero time delays in stochastic synchronization problems with linear couplings in complex networks. We consider two types of time delays: transmission delays between interacting nodes and local delays at each node…

Statistical Mechanics · Physics 2012-12-03 D. Hunt , B. K. Szymanski , G. Korniss

In this paper, the complete synchronization problem of linearly coupled neural networks with reaction-diffusion terms and time-varying delays via aperiodically intermittent pinning control is investigated. The coupling matrix for the…

Systems and Control · Computer Science 2016-04-13 Xiwei Liu , Zhang Chen , Lingjun Zhou

We investigate the stability of synchronization in networks of delay-coupled excitable neural oscillators. On the basis of the master stability function formalism, we demonstrate that synchronization is always stable for excitatory coupling…

Disordered Systems and Neural Networks · Physics 2016-08-10 Judith Lehnert , Thomas Dahms , Philipp Hövel , Eckehard Schöll

We analyze the dynamics of networks of spiking neural oscillators. First, we present an exact linear stability theory of the synchronous state for networks of arbitrary connectivity. For general neuron rise functions, stability is…

Neurons and Cognition · Quantitative Biology 2009-11-11 Marc Timme , Theo Geisel , Fred Wolf

A mechanism for self-organization of the degree of connectivity in model neural networks is studied. Network connectivity is regulated locally on the basis of an order parameter of the global dynamics which is estimated from an observable…

Statistical Mechanics · Physics 2009-11-07 Stefan Bornholdt , Torsten Roehl