Effects of adaptive acceleration response of birds on collective behaviors

Abstract Collective dynamics of many interacting particles have been widely studied because a wealth their behavioral patterns quite different from the individual traits. A selective way birds that reacts to neighbors is one main factors characterizing collective behaviors. Individual can react differently depending on local environment during decision-making process, and these variable reactions be source complex spatiotemporal flocking dynamics. Here, we extend deterministic Cucker–Smale model by including individual’s reaction neighbors’ acceleration where time depends state polarity. Simulation results show adaptive individuals induces response flock. Birds are not frozen in complete synchronization but remain sensitive perturbations coming environments. We confirm adaptivity also generates natural fluctuations orientation speed, both which indeed scale-free as experimentally reported. This work may provide essential insight designing resilient systems active agents working complex, unpredictable