Scholarlink

<p>As the time lag of information exchange between individuals depends on the relative position and density, state-dependent delay would be involved in the models of collective behaviors, naturally. In this paper, we focus on the influences of state-dependent delay on the multi-cluster behavior for a Cucker-Smale model with unit-speed constraint. Considering the state-dependent delay system, we prove the existence and uniqueness of solutions, and show the multi-cluster flocking behavior. Furthermore, we present an estimation of the critical coupling strength and a critical information propagation speed. Finally, we provide numerical simulations for different coupling strengths to discuss the number of clusters.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Multi-cluster Dynamics Behaviors of Cucker-Smale Model Involving Unit-Speed Constraint and State-Dependent Delay

  • 期刊论文

  • 发表日期：

    2026年1月13日

查看全文
  • Xinyue Han,
  • Yicheng Liu,
  • Zhengyang Qiao,
  • Jun Li

摘要

As the time lag of information exchange between individuals depends on the relative position and density, state-dependent delay would be involved in the models of collective behaviors, naturally. In this paper, we focus on the influences of state-dependent delay on the multi-cluster behavior for a Cucker-Smale model with unit-speed constraint. Considering the state-dependent delay system, we prove the existence and uniqueness of solutions, and show the multi-cluster flocking behavior. Furthermore, we present an estimation of the critical coupling strength and a critical information propagation speed. Finally, we provide numerical simulations for different coupling strengths to discuss the number of clusters.