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Pursuit on regular surfaces with application to consensus problems
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DOI：10.1007/s11071-021-06800-w.png)
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摘要
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In this work we develop geometric and numerical methods to analyze the behavior of a system of organisms or particles under various types of pursuit on a regular surface. We consider different types of pursuit similar to some mechanisms proposed by several authors, although treated in a different way. Using different concepts from diverse areas of mathematics, global and time- invariant relationships between the involved particles in the system are characterized. In order to consider different dynamical behaviors depending on individual positions and velocities we applied our geometric pursuit framework defined on regular surfaces to a specific consensus problem.
Keyword:
Pursuit
Agent-based modeling
System dynamics
Slow systems
Regular surfaces
Consensus problem
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6
论文数:
1.4W
被引数:
4.1W
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