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arXiv 0910.1753nlin.AO
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建立emergence一般过程模型的元结构项目步骤(1)

Steps of the meta-structures project to model general processes of emergence (1)

Gianfranco Minati

摘要:

与经典的方法相比,我们提出的项目的基础上考虑集体行为的相干序列的状态通过不同的单一系统组成的相同的元素随着时间的推移以不同的方式相互作用,即,通过可变结构或相变的序列。这种相干性在这里被认为是由合适的介观变量所取的值和它们的元结构所表示的属性所表示的。我们引入一个正式的工具,即,介观一般矢量,表示随着时间的推移,通过相互作用的集体元素的介观属性的采用。我们探索新的概念方面,包括动态介观层次的描述;必要和充分的元结构条件,随着时间的推移,集体行为的建立和保护;元结构和边界条件之间的关系,以转换,甚至部分,前者到后者规定和诱导集体行为的出现,以及连贯的多系统或连贯的集体存在。我们提出了未来的研究和可能的应用。

英文摘要:

In contrast with classical approaches, we present the project based on considering Collective Behaviours as coherent sequences of states adopted by different single systems consisting of the same elements interacting over time in different ways, i.e., through sequences of variable structures or phase transitions. This coherence is considered here as being represented by the values taken by suitable mesoscopic variables and their properties represented by Meta-Structures. We introduce a formal tool, i.e., the mesoscopic general vector to represent the adoption, over time, of mesoscopic properties by Interacting Collective elements. We explore novel conceptual aspects including Dynamic Mesoscopic Levels of Description; necessary and sufficient meta-structural conditions for the establishment and conservation over time of Collective Behaviours; relationships between Meta-Structures and Boundary Conditions to transform, even partially, the former into the latter to prescribe and induce the emergence of Collective Behaviours as well as coherent Multiple Systems or coherent Collective Beings. We present future lines of research and possible applications.

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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