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    Multiagent rendezvous in fluid flows via reinforcement learning

    Bocheng Li1, Jingran Qiu2,*, and Lihao Zhao1,†

    • *Contact author: jingran.qiu@physics.gu.se​
    • †Contact author: zhaolihao@tsinghua.edu.cn

    Phys. Rev. E 114, 055101 – Published 2 November, 2026

    DOI: https://doi.org/10.1103/bdjn-fvyd

    Abstract

    Rendezvous is a critical task for multiagent systems, requiring agents to coordinate to meet at an unspecified location. However, achieving this in fluid environments presents a challenge, as it remains unclear how agents can exploit underlying fluid kinematics to facilitate convergence. In this study, we adopt a multiagent reinforcement learning (MARL) approach to develop rendezvous strategies in vortical flows. Compared to a naive strategy, where agents navigate toward their counterparts, MARL strategies significantly improve the rendezvous rate. MARL strategies also show transferability across varying vortex intensities, vortex scales, and swarm sizes. By breaking the symmetry of the state-action map, MARL strategy leverages a nonintuitive mechanism that prevents agents from becoming trapped in separate vortices, thereby enhancing rendezvous success. Additionally, a heuristic strategy is extracted from the learned strategy and also outperforms the naive strategy. Furthermore, a theoretical analysis demonstrates that large finite-time Lyapunov exponents identify where fluid effects separate adjacent agents and impedes rendezvous. Our findings reveal the important role that agent-fluid interactions play in multi-agent tasks and highlight the MARL capability to explore swarm intelligence in complex flow environments.

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