Symmetry and reduction in collectives: cyclic pursuit strategies

DOI10.1098/rspa.2013.0264zbMath1372.91013OpenAlexW1979780929MaRDI QIDQ5362179

P. S. Krishnaprasad, Kevin S. Galloway, Eric W. Justh

Publication date: 29 September 2017

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2013.0264

Mathematics Subject Classification ID

Decentralized systems (93A14) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Control/observation systems governed by ordinary differential equations (93C15) Positional games (pursuit and evasion, etc.) (91A24) Stability of manifolds of solutions to ordinary differential equations (34D35)

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Collective motion under beacon-referenced cyclic pursuit ⋮ Trochoidal patterns generation using generalized consensus strategy for single-integrator kinematic agents ⋮ Cartesian product-based hierarchical scheme for multi-agent systems ⋮ Beacon-referenced pursuit for collective motions in three dimensions ⋮ Geometric decompositions of collective motion

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