具有二分拓扑结构的演化系统的增强鲁棒性
Enhanced robustness of evolving systems with bipartite topology
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中文总结 AI 辅助
研究演化开放系统相变，发现二分拓扑初始度不对称时可增强系统鲁棒性，使相变点改变且发散阶段持续，还有重入相变。通过扩展平均场分析揭示机制，即二分握手约束与不同灭绝率反馈使平均度升高，抑制灭绝概率并集中于低度新节点。
中文摘要 AI 辅助
演化的开放系统中，新实体不断引入，不适应的实体灭绝，系统在发散阶段（系统规模无限增长）和有限阶段（规模保持有界）之间呈现相变。研究表明，当二分交互拓扑的两个分区以相等初始连通性引入时，相变不变；初始度不对称时，系统鲁棒性显著增强，相变移向更高连通性，发散阶段持续，即使单个初始度超过相应无结构系统的临界点。此外，还发现了重入相变。扩展的平均场分析确定了这些效应的起源，在不对称状态下，二分握手约束和不同灭绝率之间的反馈使涌现网络的平均度远高于初始连通性，抑制了整个群落的灭绝概率，同时将灭绝集中在新引入的低度节点中。这两种效应的相互作用构成了具有不对称二分结构的演化系统的简单通用鲁棒性机制。
英文摘要
Evolving open systems, in which new entities are continually introduced and those turning unfit go extinct, exhibit a phase transition between a diverging phase, where the system size grows indefinitely, and a finite phase, where it remains bounded. We show that imposing a bipartite interaction topology alone leaves this transition unchanged when the two partitions are introduced with equal initial connectivity. In contrast, when the initial degrees are asymmetric, the robustness of the system is markedly enhanced such that the transition shifts to higher connectivity and the diverging phase persists even when both initial degrees individually exceed the critical point of the corresponding unstructured system. In addition, we find a re-entrant transition, i.e. a return to the diverging phase as asymmetry is increased while the initial degree of one of the partitions is fixed, making it lying entirely outside the original mean-field picture. An extended mean-field analysis identifies the origin of these effects such that in the asymmetric regime, a feedback between the bipartite handshaking constraint and different extinction rates drives the mean degree of emergent network far above the initially assigned connectivity. This degree elevation suppresses extinction probabilities across the community while simultaneously concentrating extinctions among recently introduced, low-degree nodes. The interplay of these two effects constitutes a simple and universal robustness mechanism for evolving systems with asymmetric bipartite structure.
