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标度行为的实验控制:什么不是分形的?

Experimental control of scaling behavior: what is not fractal?

作者信息

Likens Aaron D, Fine Justin M, Amazeen Eric L, Amazeen Polemnia G

机构信息

Department of Psychology, Arizona State University, Box 871104, Tempe, AZ, 85287, USA.

出版信息

Exp Brain Res. 2015 Oct;233(10):2813-21. doi: 10.1007/s00221-015-4351-4. Epub 2015 Jun 13.

Abstract

The list of psychological processes thought to exhibit fractal behavior is growing. Although some might argue that the seeming ubiquity of fractal patterns illustrates their significance, unchecked growth of that list jeopardizes their relevance. It is important to identify when a single behavior is and is not fractal in order to make meaningful conclusions about the processes underlying those patterns. The hypothesis tested in the present experiment is that fractal patterns reflect the enactment of control. Participants performed two steering tasks: steering on a straight track and steering on a circular track. Although each task could be accomplished by holding the steering wheel at a constant angle, steering around a curve may require more constant control, at least from a psychological standpoint. Results showed that evidence for fractal behavior was strongest for the circular track; straight tracks showed evidence of two scaling regions. We argue from those results that, going forward, the goal of the fractal literature should be to bring scaling behavior under experimental control.

摘要

被认为表现出分形行为的心理过程列表正在不断增加。尽管有些人可能会争辩说,分形模式看似无处不在说明了它们的重要性,但该列表的无节制增长会危及它们的相关性。为了对这些模式背后的过程得出有意义的结论,确定单一行为何时是分形的以及何时不是分形的很重要。本实验所检验的假设是,分形模式反映了控制的实施。参与者执行了两项转向任务:在直道上转向和在圆形轨道上转向。虽然每项任务都可以通过以恒定角度握住方向盘来完成,但绕曲线转向可能需要更多的持续控制,至少从心理学角度来看是这样。结果表明,圆形轨道的分形行为证据最强;直道显示出两个标度区域的证据。基于这些结果,我们认为,未来分形文献的目标应该是将标度行为置于实验控制之下。

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