怎样画Intermittency的 PowerLaw图？
现有个四阶模型，其中产生了Intermittency，现在想分析它的Power Law，请问有没有程序供参考，多谢！ Intermittency，Power Law是什么意思？[ 本帖最后由 无水1324 于 2008-3-23 14:04 编辑 ] 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.
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
http://info.babylon.com/pro/trans50.fcgi?rt=GetFile&uri=!!ARV6FUJ2JP&type=0&index=7388where http://info.babylon.com/pro/trans50.fcgi?rt=GetFile&uri=!!ARV6FUJ2JP&type=0&index=7850 and http://info.babylon.com/pro/trans50.fcgi?rt=GetFile&uri=!!ARV6FUJ2JP&type=0&index=4530 are constants, and http://info.babylon.com/pro/trans50.fcgi?rt=GetFile&uri=!!ARV6FUJ2JP&type=0&index=22 is an asymptotically small function of http://info.babylon.com/pro/trans50.fcgi?rt=GetFile&uri=!!ARV6FUJ2JP&type=0&index=329. Here, http://info.babylon.com/pro/trans50.fcgi?rt=GetFile&uri=!!ARV6FUJ2JP&type=0&index=4530 is typically called the scaling exponent, denoting the fact that a power-law function (or, more generally, a http://info.babylon.com/pro/trans50.fcgi?rt=GetFile&uri=!!ARV6FUJ2JP&type=0&index=4530th order homogeneous polynomial) satisfies the criteria http://info.babylon.com/pro/trans50.fcgi?rt=GetFile&uri=!!ARV6FUJ2JP&type=0&index=3006 where http://info.babylon.com/pro/trans50.fcgi?rt=GetFile&uri=!!ARV6FUJ2JP&type=0&index=464 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) 看来大家是不太清楚如何画了:@(
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