## Abstract

Understanding the synchronization process of self-propelled objects is of great interest in science and technology. We propose a synchronization model for a self-propelled objects system in which we restrict the maximal angle change of each object to θ_{R}. At each time step, each object moves and changes its direction according to the average direction of all of its neighbors (including itself). If the angle change is greater than a cutoff angle θ_{R}, the change is replaced by θ_{R}. We find that (i) counterintuitively, the synchronization improves significantly when θ_{R} decreases, (ii) there exists a critical restricted angle θ_{Rc} at which the synchronization order parameter changes from a large value to a small value, and (iii) for each noise amplitude η, the synchronization as a function of θ_{R} shows a maximum value, indicating the existence of an optimal θ_{R} that yields the best synchronization for every η.

Original language | English |
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Article number | 046115 |

Journal | Physical Review E |

Volume | 84 |

Issue number | 4 |

DOIs | |

State | Published - 25 Oct 2011 |