论文
arXiv
ComplexNetwork
中文标题
复杂网络中具有自适应竞争相互作用的爆炸性相变
English Title
Explosive Transitions in Complex Networks with Adaptive Competing Interactions
Umesh Kumar Verma
发布时间
2026/6/16 21:52:48
来源类型
preprint
语言
en
摘要
中文对照

适应性在调控复杂系统的集体行为中起着核心作用。我们研究了通过自适应吸引-排斥相互作用耦合的非同质Stuart-Landau振子的集体动力学。在无适应性的情况下,仅受吸引性耦合的振子表现出同步化的连续相变;而引入适应性耦合(即耦合强度依据系统全局状态动态演化)后,则诱发同步化的爆炸性相变。当存在吸引性与排斥性耦合但无适应性时,系统呈现同步化的连续相变及振荡死亡的突变相变;值得注意的是,在该竞争性耦合框架中引入适应性后,系统再次展现出同步化的突变相变。有趣的是,振荡死亡仅在无适应性时发生,而在存在自适应耦合时被完全抑制。这些结果在多种网络拓扑结构(包括全局耦合、非局域耦合及无标度网络)下均保持稳健,凸显了适应性机制在调控与稳定复杂网络涌现动力学方面的普适性。

English Original

Adaptation plays a central role in regulating collective behavior in complex systems. We study the collective dynamics of non-identical Stuart-Landau oscillators coupled through adaptive attractive-repulsive interactions. Without adaptation, oscillators coupled with only attractive coupling exhibit a continuous transition to synchronization. However, incorporating adaptive coupling, where the interaction strength evolves based on the global state of the system, induces an explosive transition to synchronization. When both attractive and repulsive couplings are present without adaptation, the system displays a continuous transition to synchronization and an abrupt transition to oscillation death. Remarkably, when adaptation is incorporated into this competing coupling framework, the system again exhibits an abrupt transition to synchronization. Interestingly, oscillation death occurs only in the absence of adaptation and is suppressed when adaptive coupling is present. These results are robust across different network topologies, including global, nonlocal, and scale-free networks, underscoring the versatility of adaptive mechanisms in controlling and stabilizing emergent dynamics in complex networks.

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元数据
arXiv2606.17944v1
来源arXiv
类型论文
抽取状态raw
关键词
ComplexNetwork
nlin.AO
physics.soc-ph