Cyclic Pursuit in Three Dimensions

Abstract

Pursuit strategies for interacting particles and feedback laws to execute them are formulated in three dimensions focusing on constant bearing (CB) pursuit - a case of interest in biology. In the analysis of such laws for the setting of n particles engaged in cyclic pursuit, we reveal interesting invariant manifold dynamics and associated explicit integrability properties, as well as conditions for special solutions such as relative equilibria.

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Document Details

Document Type
Technical Report
Publication Date
Dec 17, 2010
Accession Number
ADA536119

Entities

People

  • E. W. Justh
  • K. S. Galloway
  • P.S.Krishnaprasad

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Birds
  • Camouflage
  • Circular Orbits
  • Computational Neuroscience
  • Dynamics
  • Equations
  • Feedback
  • Geometry
  • Identities
  • Military Research
  • Particles
  • Rotation
  • Scientific Research
  • Three Dimensional
  • Trajectories

Readers

  • Agent-Based Social Robotics and Mobile-Assisted Learning in Virtual Environments.
  • Game Theory.
  • Graph Algorithms and Convex Optimization.