| Citation: |
Chun-Bo Lian, Gang-Ling Hou, Bin Ge, Kang Zhou. MULTI-CLUSTER FLOCKING BEHAVIOR FOR A CLASS OF CUCKER-SMALE MODEL WITH A PERTURBATION[J]. Journal of Applied Analysis & Computation, 2021, 11(4): 1825-1851. doi: 10.11948/20200234
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MULTI-CLUSTER FLOCKING BEHAVIOR FOR A CLASS OF CUCKER-SMALE MODEL WITH A PERTURBATION
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Abstract
In this paper, we study a Cucker-Smale-type system with a perturbation in which agents interact with each other by given communication weights. By using a Lyapunov functional approach and some induction arguments we will prove that every agent flocks to the leader, and the flocking of the model depends on the perturbed conditions and initial conditions. Finally, we also provide several numerical examples and compare them with analytical results.
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Keywords:
- Flocking behavior /
- perturbation /
- leader /
- Cucker-Smale model
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References
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Chun-Bo Lian, Gang-Ling Hou, Bin Ge, Kang Zhou. MULTI-CLUSTER FLOCKING BEHAVIOR FOR A CLASS OF CUCKER-SMALE MODEL WITH A PERTURBATION[J]. Journal of Applied Analysis & Computation, 2021, 11(4): 1825-1851. doi: 10.11948/20200234
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- Figure 1. the flocking behaviors are common in nature
- Figure 2. Dynamic trends of velocity and position of 40 agents with disturbance systems
- Figure 3. Dynamic trends of velocity and position of 40 agents with disturbance systems
- Figure 4. Dynamic trends of velocity and position of 40 agents with disturbance systems