Fractal Manifold Method in Systems with Self-Organized Criticality
نویسندگان
چکیده
منابع مشابه
Some fractal aspects of Self - Organized Criticality
The concept of Self-Organized Criticality (SOC) was proposed in an attempt to explain the widespread appearance of power-law in nature. It describes a mechanism in which a system reaches spontaneously a state where the characteristic events (avalanches) are distributed according to a power law. We present a dynamical systems approach to Self-Organized Criticality where the dynamics is described...
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We introduce the phenomenon of rapid self-organized criticality (RSOC) and show that, like some models of self-organized criticality (SOC), RSOC generates scale-invariant event distributions and 1/f noise. Unlike SOC, however, RSOC persists despite more than an order of magnitude variation in driving rate and displays extremely thick and dynamic branching geometry. Starting with an initial set ...
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The origin of self-organized criticality in a model without conservation law (Olami, Feder, and Christensen, Phys. Rev. Lett. 68, 1244 (1992)) is studied. The homogeneous system with periodic boundary condition is found to be periodic and neutrally stable. A change to open boundaries results in the invasion of the interior by a “self-organized” region. The mechanism for the self-organization is...
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ژورنال
عنوان ژورنال: International Journal of Engineering Research and Technology
سال: 2020
ISSN: 0974-3154
DOI: 10.37624/ijert/13.11.2020.3835-3839