Anticipation Breeds Alignment
نویسندگان
چکیده
We study the large-time behavior of systems driven by radial potentials, which react to anticipated positions, \(\mathbf{x}^\tau (t)=\mathbf{x}(t)+\tau \mathbf{v}(t)\), with anticipation increment \(\tau >0\). As a special case, such yield celebrated Cucker–Smale model for alignment, coupled pairwise interactions. Viewed from this perspective, anticipation-driven are expected emerge into flocking due alignment velocities, and spatial concentration confining potentials. treat both discrete dynamics large crowd hydrodynamics, proving decisive role in driving attractive potentials velocity concentration. also effect near equilibrium anticipated-based pair agents governed attractive–repulsive
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2021
ISSN: ['0003-9527', '1432-0673']
DOI: https://doi.org/10.1007/s00205-021-01609-8