A minimal two-timescale model with fast perceptual alignment and slow regulatory feedback produces non-Markovian collective motion, hysteresis, and memory-dependent loops, reducing to Vicsek-type alignment when feedback is weak.
Com- pletely positive dynamical semigroups of n-level systems.Journal of Mathematical Physics, 17(5):821–825, 1976
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Non-Markovian Collective Motion from Self-Regulated Perceptual Dynamics
A minimal two-timescale model with fast perceptual alignment and slow regulatory feedback produces non-Markovian collective motion, hysteresis, and memory-dependent loops, reducing to Vicsek-type alignment when feedback is weak.