Analysis for second-order collective model with spatial coordinates coupling
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    Abstract:

    A second-order distributed collective model with spatial coordinates coupling was established. Analysis results show that: if the topology structure of the system is unchanged, the system graph has a directed spanning tree and the speed parameter is over the critical value, the system will present three flocking patterns with the rotation angle variation of coupling matrix—linear pattern, cylindrical spiral pattern, logarithmic spiral pattern. Some simulations for these three patterns were carried out in the last section.

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History
  • Received:August 02,2016
  • Revised:
  • Adopted:
  • Online: January 16,2018
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