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arXiv 1109.0072physics.soc-phnlin.AOnlin.PS
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模糊理性引发的动态陷阱--一种新的涌现机制

Dynamical Traps Caused by Fuzzy Rationality as a New Emergence Mechanism

Ihor Lubashevsky

摘要:

提出了一种与人类模糊理性有关的新的涌现机制。它假设控制某个系统动态的个体(操作者)试图遵循最优策略来控制其运动,但未能完美地做到这一点,因为相似的策略对他们来说是不可区分的。主要关注的是最佳动态意味着相应相空间中某个平衡点稳定的系统。在这样的系统中,模糊合理性产生了平衡点的某些邻域,即动力学陷阱区域,其中每个点都被算子视为平衡点。因此,当系统进入该区域时,并且当它位于该区域中时,可能很长一段时间,操作员控制被暂停。为了阐明动力学陷阱本身是否能引起突现现象的问题,排除了随机因素的考虑。在这种情况下,系统可以离开动力学陷阱区,只是因为不同的运营商之间的行动不匹配。作为例子,一个链的振荡器与动力学陷阱进行了数值分析。如所示的动力学陷阱诱导不稳定性和复杂的行为,这样的系统。

英文摘要:

A new emergence mechanism related to the human fuzzy rationality is considered. It assumes that individuals (operators) governing the dynamics of a certain system try to follow an optimal strategy in controlling its motion but fail to do this perfectly because similar strategies are indistinguishable for them. The main attention is focused on the systems where the optimal dynamics implies the stability of a certain equilibrium point in the corresponding phase space. In such systems the fuzzy rationality gives rise to some neighborhood of the equilibrium point, the region of dynamical traps, wherein each point is regarded as an equilibrium one by the operators. So when the system enters this region and while it is located in it, maybe for a long time, the operator control is suspended. To elucidate a question as to whether the dynamical traps on their own can cause emergent phenomena the stochastic factors are eliminated from consideration. In this case the system can leave the dynamical trap region only because of the mismatch between actions of different operators. By way of example, a chain of oscillators with dynamical traps is analyzed numerically. As demonstrated the dynamical traps do induce instability and complex behavior of such systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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