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arXiv 2609.33896physics.bio-phq-bio.NC

行为的调和理论

Harmonic Theory of Behavior

  • Max Planck Institute of Animal Behavior(马克斯·普朗克动物行为研究所)
  • University of Konstanz(康斯坦茨大学)

机构由 AI 辅助整理,请以论文原文为准。

Mohammad Salahshour, Iain D. Couzin

AI总结:

该理论从神经方向表征的粗粒化出发,提出行为由方向决策景观的调和分解决定,统一了神经表征、行为决策与集体运动。

AI中文摘要:

传统集体行为模型依赖于预设的相互作用规则,留下了行为如何从空间神经表征中产生的问题未解。在此,我们发展了一个第一性原理理论,其中运动、决策和集体组织通过对方向空间的拓扑表征上的快速神经动力学进行粗粒化而涌现。对于编码朝向的环流形,这一约化产生了行为的宏观理论:一个方向上的决策景观,允许调和分解。在此框架中,行为由方向信息的谱组织而非临时规则所支配。我们证明,目标寻求、回避、选择、空间决策以及多种形式的集体运动作为底层调和景观的不同组织而出现。该理论将神经表征、行为决策和集体动力学统一在一个数学描述中。

英文摘要:

Traditional models of collective behavior rely on prescribed interaction rules, leaving unresolved the question of how behavior arises from neural representations of space. Here, we develop a first-principles theory in which movement, decision-making, and collective organization emerge by coarse-graining fast neural dynamics on a topological representation of directional space. For a ring manifold encoding heading, this reduction yields a macroscopic theory of behavior: a decision landscape over directions that admits a harmonic decomposition. In this framework, behavior is governed by a spectral organization of directional information rather than ad hoc rules. We demonstrate that target-seeking, avoidance, choice, spatial decision-making, and diverse forms of collective motion arise as distinct organizations of the underlying harmonic landscape. The theory unifies neural representations, behavioral decisions, and collective dynamics in a single mathematical description.

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