摘要 The notion of (auto)catalytic 網絡s has become a co

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論文資訊

• 類型：已發表論文
• 日期：2005

摘要

The notion of (auto)catalytic 網絡s has become a cornerstone in understanding the possibility of a sudden dramatic increase of 多樣性 in 生物 演化 as well as in the 演化 of 社會 and 經濟al systems. Here we study catalytic random 網絡s with respect to the final outcome 多樣性 of products. We show that an analytical treatment of this long-standing problem is possible by mapping the problem onto a set of 非線性 recurrence equations. The solution of these equations shows a crucial dependence of the final number of products on the initial number of products and the density of catalytic production rules. For a fixed density of rules we can demonstrate the existence of a 相變 from a practically unpopulated regime to a fully populated and diverse one. The order parameter is the number of final products. We are able to ful

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