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Self-organized criticality and the self-organizing map
Physical Review E, 2001The self-organizing map (SOM), a biologically inspired, learning algorithm from the field of artificial neural networks, is presented as a self-organized critical (SOC) model of the extremal dynamics family. The SOM's ability to converge to an ordered configuration, independent of the initial state, is known and has been demonstrated, in the one ...
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Self-Organized Criticality in Dislocation Networks
Physical Review Letters, 1994The response of a dislocation network subject to a periodic external stress is simulated in the kink representation. Kink-kink and kink-pinning point interactions lead to a local, random reduction in the breakaway stress, so that a certain fraction of the total dislocation line is critically pinned according to a self-organized pattern.
MARCHESONI, Fabio, M. PATRIARCA
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Self-organized critical scaling at surfaces
Physical Review E, 1995At dissipative boundaries, models of self-organized criticality show peculiar scalings, different from the bulk ones, in the distributions characterizing avalanches. For Abelian models with Dirichlet boundary conditions, evidence of this is obtained by a mean field approach to semi-infinite sandpiles, and by numerical simulations in two and three ...
STELLA, ATTILIO +2 more
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Scientific American, 1991
Just as the proverbial straw broke the camel's back, catastrophes, from earthquakes and avalanches to a stock market crash, can be triggered by a minor event. The authors argue that complex systems naturally evolve to a critical state. Their theory already has improved understanding of motion in the earth's crust, economies and ecosystems.
Per Bak, Kan Chen
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Just as the proverbial straw broke the camel's back, catastrophes, from earthquakes and avalanches to a stock market crash, can be triggered by a minor event. The authors argue that complex systems naturally evolve to a critical state. Their theory already has improved understanding of motion in the earth's crust, economies and ecosystems.
Per Bak, Kan Chen
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Self-Organized Critical Drainage Networks
Physical Review Letters, 2001Physical Review ...
S, Hergarten, H J, Neugebauer
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Physica A: Statistical Mechanics and its Applications, 1990
Abstract Dissipative dynamical systems with many degrees of freedom naturally evolve to a critical state with fluctuations extending over all length- and time-scales. It is suggested, and supported by simulations on simple toy-model systems, that turbulence, earthquakes, â1/fâ noise, and economics may operate at the self-organized critical state.
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Abstract Dissipative dynamical systems with many degrees of freedom naturally evolve to a critical state with fluctuations extending over all length- and time-scales. It is suggested, and supported by simulations on simple toy-model systems, that turbulence, earthquakes, â1/fâ noise, and economics may operate at the self-organized critical state.
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On self-organized criticality in nonconserving systems
Physical Review E, 1993Two models with nonconserving dynamics and slow continuous deterministic driving, a stick-slip model (SSM) of earthquake dynamics and a toy forest-fire model (FFM), have recently been argued to show numerical evidence of self-organized criticality (generic, scale-invariant steady states). To determine whether the observed criticality is indeed generic,
, Socolar, , Grinstein, , Jayaprakash
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Proceedings of the 35th Annual Hawaii International Conference on System Sciences, 2005
Complex Systems with characteristics of Self-Organizing Criticality (SOC) or HighlyOptimized Tolerance (HOT) exhibit events of all sizes, typically with a frequency of occurence described by a heavy-tailed distribution. Some large physical systems, such as the electric power grid, have failure statistics consistent with event statistics of SOC and HOT ...
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Complex Systems with characteristics of Self-Organizing Criticality (SOC) or HighlyOptimized Tolerance (HOT) exhibit events of all sizes, typically with a frequency of occurence described by a heavy-tailed distribution. Some large physical systems, such as the electric power grid, have failure statistics consistent with event statistics of SOC and HOT ...
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1998
Self-organized criticality (SOC) is based upon the idea that complex behavior can develop spontaneously in certain multi-body systems whose dynamics vary abruptly. This book is a clear and concise introduction to the field of self-organized criticality, and contains an overview of the main research results. The author begins with an examination of what
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Self-organized criticality (SOC) is based upon the idea that complex behavior can develop spontaneously in certain multi-body systems whose dynamics vary abruptly. This book is a clear and concise introduction to the field of self-organized criticality, and contains an overview of the main research results. The author begins with an examination of what
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Reports on Progress in Physics, 1999
The concept of self-organized criticality was introduced to explain the behaviour of the sandpile model. In this model, particles are randomly dropped onto a square grid of boxes. When a box accumulates four particles they are redistributed to the four adjacent boxes or lost off the edge of the grid.
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The concept of self-organized criticality was introduced to explain the behaviour of the sandpile model. In this model, particles are randomly dropped onto a square grid of boxes. When a box accumulates four particles they are redistributed to the four adjacent boxes or lost off the edge of the grid.
openaire +1 more source