协同进化的竞争排斥过程：物种形成、多重分形和相关幂律
The process of coevolutionary competitive exclusion: speciation, multifractality and power-laws in correlation
摘要：
竞争排斥是生态学的一个重要原理，可以推广到理解许多其他复杂系统。处于生存压力下的个体往往与其他个体不同，个体之间的相关性随着个体状态的更新而变化。我们用数值模拟表明，这些能力倾向有助于群体的形成或在社会领域的物种形成。此外，它们可以导致复杂网络的幂律拓扑相关性。通过将网络中节点状态的更新与网络中连接的变化相耦合，可以从自组织协同进化过程模型中同时显现出节点状态的多重分形性、自发排序和进化分支等幂律结构特性和功能。
英文摘要：
Competitive exclusion, a key principle of ecology, can be generalized to understand many other complex systems. Individuals under surviving pressure tend to be different from others, and correlations among them change correspondingly to the updating of their states. We show with numerical simulation that these aptitudes can contribute to group formation or speciation in social fields. Moreover, they can lead to power-law topological correlations of complex networks. By coupling updating states of nodes with variation of connections in a network, structural properties with power-laws and functions like multifractality, spontaneous ranking and evolutionary branching of node states can emerge out simultaneously from the present self-organized model of coevolutionary process.
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