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We study the effect of memory on synchronization of identical chaotic systems driven by common external noises. Our examples show that while in general synchronization transition becomes more difficult to meet when memory range increases,…

Chaotic Dynamics · Physics 2009-11-11 Rafael Morgado , Michal Ciesla , Lech Longa , Fernando A. Oliveira

Spontaneous formation of clusters of synchronized spiking in a structureless ensemble of equal stochastically perturbed excitable neurons with delayed coupling is demonstrated for the first time. The effect is a consequence of a subtle…

Adaptation and Self-Organizing Systems · Physics 2015-06-04 Igor Franovic , Kristina Todorovic , Nebojsa Vasovic , Nikola Buric

The response of complex networks to perturbations is of utmost importance in areas as diverse as ecosystem management, emergency response, and cell reprogramming. A fundamental property of networks is that the perturbation of one node can…

Molecular Networks · Quantitative Biology 2011-05-20 Sean P. Cornelius , William L. Kath , Adilson E. Motter

Small continuous sensory and mechanical perturbations have often been used to identify properties of the closed-loop neural control of posture and other systems that are approximately linear time invariant. Here we extend this approach to…

Neurons and Cognition · Quantitative Biology 2016-10-31 Tim Kiemel , David Logan , John J. Jeka

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…

Recurrent Neural Network models have elucidated the interplay between structure and dynamics in biological neural networks, particularly the emergence of irregular and rhythmic activities in cortex. However, most studies have focused on…

Neurons and Cognition · Quantitative Biology 2025-09-04 Nimrod Sherf , Xaq Pitkow , Krešimir Josić , Kevin E. Bassler

The coherence resonance (CR) of globally coupled Hodgkin-Huxley neurons is studied. When the neurons are set in the subthreshold regime near the firing threshold, the additive noise induces limit cycles. The coherence of the system is…

Biological Physics · Physics 2009-10-31 Yuqing Wang , David T. W. Chik , Z. D. Wang

Experiments suggest that cerebral cortex gains several functional advantages by operating in a dynamical regime near the critical point of a phase transition. However, a long-standing criticism of this hypothesis is that critical dynamics…

Neurons and Cognition · Quantitative Biology 2020-09-30 Kathleen Finlinson , Woodrow L. Shew , Daniel B. Larremore , Juan G. Restrepo

We study the implementation of a weak multiple delayed feedback for controlling coherence of chaotic oscillations. The specific system we treat is the Lorenz system with classical set of parameters. There are two reasons behind the interest…

Statistical Mechanics · Physics 2009-12-03 Denis S. Goldobin , Elizaveta V. Shklyaeva

High-level brain function such as memory, classification or reasoning can be realized by means of recurrent networks of simplified model neurons. Analog neuromorphic hardware constitutes a fast and energy efficient substrate for the…

Neurons and Cognition · Quantitative Biology 2016-06-10 Thomas Pfeil , Jakob Jordan , Tom Tetzlaff , Andreas Grübl , Johannes Schemmel , Markus Diesmann , Karlheinz Meier

Controlling complex networks is of paramount importance in science and engineering. Despite recent efforts to improve controllability and synchronous strength, little attention has been paid to the speed of pinning synchronizability (rate…

Physics and Society · Physics 2015-11-09 Ming-Yang Zhou , Zhao Zhuo , Hao Liao , Zhong-Qian Fu , Shi-Min Cai

The linear response of synchronized chaotic units with delayed couplings and feedback to small external perturbations is investigated in the context of communication with chaos synchronization. For iterated chaotic maps, the distribution of…

Chaotic Dynamics · Physics 2013-02-05 Wolfgang Kinzel , Johannes Kestler , Ido Kanter

Synchronization is a widespread phenomenon observed across natural and artificial networked systems. It often manifests itself by clusters of units exhibiting coincident dynamics. These clusters are a direct consequence of the organization…

Diluted neural networks with continuous neurons and nonmonotonic transfer function are studied, with both fixed and dynamic synapses. A noisy stimulus with periodic variance results in a mechanism for controlling chaos in neural systems…

Disordered Systems and Neural Networks · Physics 2009-10-31 D. Caroppo , M. Mannarelli , G. Nardulli , S. Stramaglia

Neural circuits are able to perform computations under very diverse conditions and requirements. The required computations impose clear constraints on their fine-tuning: a rapid and maximally informative response to stimuli in general…

Neurons and Cognition · Quantitative Biology 2019-10-22 Jens Wilting , Jonas Dehning , Joao Pinheiro Neto , Lucas Rudelt , Michael Wibral , Johannes Zierenberg , Viola Priesemann

In a recent paper, wavelet analysis was used to perturb the coupling matrix in an array of identical chaotic systems in order to improve its synchronization. As the synchronization criterion is determined by the second smallest eigenvalue…

Chaotic Dynamics · Physics 2007-05-23 Chai Wah Wu

Networks of randomly connected neurons are among the most popular models in theoretical neuroscience. The connectivity between neurons in the cortex is however not fully random, the simplest and most prominent deviation from randomness…

Neurons and Cognition · Quantitative Biology 2018-07-09 Daniel Martí , Nicolas Brunel , Srdjan Ostojic

This paper investigates the dependence of synchronization transitions of bursting oscillations on the information transmission delay over scale-free neuronal networks with attractive and repulsive coupling. It is shown that for both types…

Disordered Systems and Neural Networks · Physics 2011-01-10 Qingyun Wang , Guanrong Chen , Matjaz Perc

This document is focused on computing systems implemented in technologies that communicate and compute with temporal transients. Although described in general terms, implementations of spiking neural networks are of primary interest. As…

Neural and Evolutionary Computing · Computer Science 2022-01-20 James E. Smith

We study the synchronisation of neurons in a realistic model under the Hodgkin-Huxley dynamics. To focus on the role of the different locations of the excitatory synapses, we use two identical neurons where the set of input signals is…

Neurons and Cognition · Quantitative Biology 2024-09-17 Alessandro Fiasconaro , Michele Migliore