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We study structural changes of adaptive networks in the co-evolutionary susceptible-infected-susceptible (SIS) network model along its phase transition. We clarify to what extent these changes can be used as early-warning signs for the…

Physics and Society · Physics 2018-11-07 Leonhard Horstmeyer , Christian Kuehn , Stefan Thurner

Networks in the brain consist of different types of neurons. Here we investigate the influence of neuron diversity on the dynamics, phase space structure and computational capabilities of spiking neural networks. We find that already a…

Neurons and Cognition · Quantitative Biology 2019-10-09 Paul Manz , Sven Goedeke , Raoul-Martin Memmesheimer

We consider a class of adaptive network models where links can only be created or deleted between nodes in different states. These models provide an approximate description of a set of systems where nodes represent agents moving in physical…

Physics and Society · Physics 2016-08-24 Li Chen , Cristián Huepe , Thilo Gross

An associative memory has been discussed of neural networks consisting of spiking N (=100) Hodgkin-Huxley (HH) neurons with time-delayed couplings, which memorize P patterns in their synaptic weights. In addition to excitatory synapses…

Disordered Systems and Neural Networks · Physics 2009-10-31 Hideo Hasegawa

Neural processing systems typically represent data using leaky integrate and fire (LIF) neuron models that generate spikes or pulse trains at a rate proportional to their input amplitudes. This mechanism requires high firing rates when…

Emerging Technologies · Computer Science 2019-05-07 Manu V Nair , Giacomo Indiveri

This Letter investigates the transition to synchronization of oscillator ensembles encoded by simplicial complexes in which pairwise and higher-order coupling weights alter with time through a rate-based adaptive mechanism inspired by the…

Disordered Systems and Neural Networks · Physics 2022-06-23 Ajay Deep Kachhvah , Sarika Jalan

We consider a directed Barab\'{a}si-Albert scale-free network model with symmetric preferential attachment with the same in- and out-degrees, and study emergence of sparsely synchronized rhythms for a fixed attachment degree in an…

Neurons and Cognition · Quantitative Biology 2015-09-02 Sang-Yoon Kim , Woochang Lim

We consider the coupling between two networks, each having N nodes whose individual dynamics is modeled by a two-state master equation. The intra-network interactions are all to all, whereas the inter-network interactions involve only a…

Adaptation and Self-Organizing Systems · Physics 2015-08-14 Malgorzata Turalska , Adam Svenkeson , Bruce J. West

Chimera is a relatively new emerging phenomenon where coexistence of synchronous and asynchronous state is observed in symmetrically coupled dynamical units. We report observation of the chimera state in multiplex networks where individual…

Chaotic Dynamics · Physics 2016-10-27 Saptarshi Ghosh , Sarika Jalan

Spiking neural network models characterize the emergent collective dynamics of circuits of biological neurons and help engineer neuro-inspired solutions across fields. Most dynamical systems' models of spiking neural networks typically…

Computational Physics · Physics 2023-04-12 Georg Börner , Fabio Schittler Neves , Marc Timme

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…

Adaptation and Self-Organizing Systems · Physics 2022-06-01 Max Thiele , Rico Berner , Peter A. Tass , Eckehard Schöll , Serhiy Yanchuk

As the third generation of neural networks, spiking neural networks (SNNs) are dedicated to exploring more insightful neural mechanisms to achieve near-biological intelligence. Intuitively, biomimetic mechanisms are crucial to understanding…

Neural and Evolutionary Computing · Computer Science 2023-03-15 Haibo Shen , Yihao Luo , Xiang Cao , Liangqi Zhang , Juyu Xiao , Tianjiang Wang

We investigate front propagation and synchronization transitions in dependence on the information transmission delay and coupling strength over scale-free neuronal networks with different average degrees and scaling exponents. As the…

Disordered Systems and Neural Networks · Physics 2009-08-19 Qingyun Wang , Matjaz Perc , Zhisheng Duan , Guanrong Chen

In this paper, new schemes to synchronize linearly or nonlinearly coupled chaotic systems with an adaptive coupling strength are proposed. Unlike other adaptive schemes, which synchronize coupled chaotic systems to a special trajectory (or…

Dynamical Systems · Mathematics 2007-05-23 Xiwei Liu Tianping Chen

Brain plasticity, also known as neuroplasticity, is a fundamental mechanism of neuronal adaptation in response to changes in the environment or due to brain injury. In this review, we show our results about the effects of synaptic…

The cooperative behavior of neurons and neuronal areas associated with the synchronization behavior proves to be a fundamental neural mechanism. In addition, abnormal levels of synchronization have been related to unhealthy neural…

Biological Physics · Physics 2023-11-16 Bruno R. R. Boaretto

A class of adaptation functions is found for which a synchronous oscillation mode exists in the network of phase oscillators with triadic couplings. It is shown that the destruction of the synchronous mode occurs differently for networks…

Chaotic Dynamics · Physics 2023-11-13 Anastasiia Emelianova , Vladimir Nekorkin

We study a network model that couples the dynamics of link states with the evolution of the network topology. The state of each link, either A or B, is updated according to the majority rule or zero-temperature Glauber dynamics, in which…

Physics and Society · Physics 2014-06-17 Adrián Carro , Federico Vazquez , Raúl Toral , Maxi San Miguel

This paper studies synchronization in coupled nonlinear dynamic networks with unknown parameters. Adaptation can be added to one or several elements in the network, while preserving the global synchronization conditions derived in…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Wei Wang , Jean-Jacques E. Slotine

So far, many network-structure-based link prediction methods have been proposed. However, these methods only highlight one or two structural features of networks, and then use the methods to predict missing links in different networks. The…

Physics and Society · Physics 2017-09-01 Chuang Ma , Zhong-Kui Bao , Hai-Feng Zhang