Intermittency
Word intermittence, intermittency means the quality of being intermittent; subject to interruption or periodic stopping.
In dynamical systems, alternation of phases of apparently periodic and chaotic dynamics is called intermittency.
Consider a dynamical system. Let x be the observed variable. If x plotted as a function of time exhibits segments of relative constant values (laminar phase) interspersed by erratic bursts, the system dynamics is intermittent.[1]
A power law is any polynomial relationship that exhibits the property of scale invariance. The most common power laws relate two variables and have the form
where and are constants, and is an asymptotically small function of . Here, is typically called the scaling exponent, denoting the fact that a power-law function (or, more generally, a th order homogeneous polynomial) satisfies the criteria where is a constant. That is, scaling the function's argument changes the constant of proportionality as a function of the scale change, but preserves the shape of the function itself. This relationship becomes more clear if we take the logarithm of both sides (or, graphically, plotting on a log-log graph) |
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