Self-organized criticality of a simple integrate-and-fire neural model

2012 ◽  
Vol 60 (4) ◽  
pp. 657-659 ◽  
Author(s):  
Hyung Wooc Choi ◽  
Seong Eun Maeng ◽  
Jae Woo Lee
Keyword(s):  
Neural Model ◽  
Integrate And Fire ◽  
Self Organized ◽  
Self Organized Criticality

A SIMPLE NEURON NETWORK BASED ON HEBB'S RULE

2011 ◽  
Vol 22 (07) ◽  
pp. 755-763
Author(s):  
GUI-QING ZHANG ◽  
ZI YU ◽  
QIU-YING YANG ◽  
TIAN-LUN CHEN
Keyword(s):  
Finite Size ◽  
Neural Model ◽  
Fat Tails ◽  
Neuron Network ◽  
Finite Size Effects ◽  
Gaussian Shape ◽  
Avalanche Size ◽  
Self Organized ◽  
Self Organized Criticality ◽  
The Stability

A weighted mechanism in neural networks is studied. This paper focuses on the neuron's behaviors in an area of brain. Our model could regenerate the power-law behaviors and finite size effects of neural avalanche. The probability density functions (PDFs) for the neural avalanche size differing at different times (lattice size) have fat tails with a q-Gaussian shape and the same parameter value of q in the thermodynamical limit. Above two kinds of behaviors show that our neural model can well present self-organized critical behavior. The robustness of PDFs shows the stability of self-organized criticality. Meanwhile, the avalanche scaling relation of the waiting time has been found.

scholarly journals The Abelian distribution

2014 ◽  
Vol 14 (03) ◽  
pp. 1450001 ◽  
Author(s):  
Anna Levina ◽  
J. Michael Herrmann
Keyword(s):  
Neural Modeling ◽  
Neural Systems ◽  
Basic Properties ◽  
Integrate And Fire ◽  
Self Organized ◽  
Fire Models ◽  
Self Organized Criticality ◽  
Fully Connected

We define the Abelian distribution and study its basic properties. Abelian distributions arise in the context of neural modeling and describe the size of neural avalanches in fully-connected integrate-and-fire models of self-organized criticality in neural systems.

scholarly journals ON SELF-ORGANIZED CRITICALITY AND SYNCHRONIZATION IN LATTICE MODELS OF COUPLED DYNAMICAL SYSTEMS

1996 ◽  
Vol 10 (10) ◽  
pp. 1111-1151 ◽  
Author(s):  
CONRAD J. PÉREZ ◽  
ÁLVARO CORRAL ◽  
ALBERT DÍAZ-GUILERA ◽  
KIM CHRISTENSEN ◽  
ALEX ARENAS
Keyword(s):  
Dynamical Systems ◽  
Critical Phenomena ◽  
Collective Behavior ◽  
Phase Locking ◽  
Lattice Models ◽  
Stick Slip ◽  
Integrate And Fire ◽  
Self Organized ◽  
Self Organized Criticality ◽  
The Individual

Lattice models of coupled dynamical systems lead to a variety of complex behaviors. Between the individual motion of independent units and the collective behavior of members of a population evolving synchronously, there exist more complicated attractors. In some cases, these states are identified with self-organized critical phenomena. In other situations, they are identified with clusterization or phase-locking. The conditions leading to such different behaviors in models of integrate-and-fire oscillators and stick-slip processes are reviewed.

scholarly journals Self-Organized Criticality and Synchronization in a Lattice Model of Integrate-and-Fire Oscillators

1995 ◽  
Vol 74 (1) ◽  
pp. 118-121 ◽  
Author(s):  
Álvaro Corral ◽  
Conrad J. Pérez ◽  
Albert Díaz-Guilera ◽  
Alex Arenas
Keyword(s):  
Lattice Model ◽  
Integrate And Fire ◽  
Self Organized ◽  
Self Organized Criticality

Problem behavior in autism spectrum disorders: A paradigmatic self-organized perspective of network structures

2019 ◽  
Vol 42 ◽  
Author(s):  
Lucio Tonello ◽  
Luca Giacobbi ◽  
Alberto Pettenon ◽  
Alessandro Scuotto ◽  
Massimo Cocchi ◽  
...  
Keyword(s):  
Autism Spectrum Disorder ◽  
Problem Behaviors ◽  
Autism Spectrum ◽  
The Self ◽  
Network Structures ◽  
Self Organized ◽  
Critical Equilibrium ◽  
Self Organized Criticality ◽  
Acute Agitation ◽  
Spectrum Disorders

AbstractAutism spectrum disorder (ASD) subjects can present temporary behaviors of acute agitation and aggressiveness, named problem behaviors. They have been shown to be consistent with the self-organized criticality (SOC), a model wherein occasionally occurring “catastrophic events” are necessary in order to maintain a self-organized “critical equilibrium.” The SOC can represent the psychopathology network structures and additionally suggests that they can be considered as self-organized systems.

Self-Organized Criticality in the Autowave Model of Speciation

2020 ◽  
Vol 75 (5) ◽  
pp. 398-408
Author(s):  
A. Y. Garaeva ◽  
A. E. Sidorova ◽  
N. T. Levashova ◽  
V. A. Tverdislov
Keyword(s):  
Self Organized ◽  
Self Organized Criticality
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