The purpose of this work is to analyze the mechanisms of influence and destruction, as well as the characteristics of synchronous and asynchronous modes of behavior of ensembles (swarms) of interacting mobile agents moving according to chaotic phase trajectories of Rossler and Lorentz.

Methods. One of the main ways to obtain synchronous chaotic dynamics is the effect of chaotic phase synchronization - the process of establishing the same averaged frequency of oscillations and modulo limited phase difference in the presence of sufficiently strong coupling. Numerical integration methods of systems of differential equations are used for modeling and obtaining results.

Results. In the context of ensembles of interacting mobile agents whose motion trajectories obey the Rossler and Lorenz systems in chaotic regimes, the influence of different types of individualities on collective dynamics was considered. The possibility of organizing sequential and parallel action of agents and various topological configurations of the organization of a swarm of agents when choosing a uniformity structure was demonstrated. The duration of transient processes in a synchronous regime in ensembles of mobile agents
moving along the trajectories of the Rossler system in different regimes was considered. In addition, for cases of chaotic Rossler attractors, a method for swarm desynchronization using independent phase tuning was proposed.

Conclusion. The article demonstrates the ability to synchronize and desynchronize ensembles of mobile agents.