Nonlinear dynamics of unicycles in leader-follower formation

DOI10.1016/j.cnsns.2009.02.028zbMath1221.70034OpenAlexW2059181320MaRDI QIDQ718066

Abhishek Halder, Tamás Kalmár-Nagy, Siming Zhao

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.02.028

zbMATH Keywords

nonlinear dynamicsHopf bifurcationunicyclesformation stability

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Bifurcations and instability for nonlinear problems in mechanics (70K50) Dynamical systems in classical and celestial mechanics (37N05) Nonholonomic systems related to the dynamics of a system of particles (70F25)

Uses Software

• Boids

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Pursuit formations of unicycles
• On Communication Requirements for Multi-agent Consensus Seeking
• The Multi-Agent Rendezvous Problem. Part 2: The Asynchronous Case
• Multi-Agent Coordination by Decentralized Estimation and Control
• Stability analysis of one-dimensional asynchronous swarms
• Coordination of groups of mobile autonomous agents using nearest neighbor rules
• Consensus Problems in Networks of Agents With Switching Topology and Time-Delays
• Formations of Vehicles in Cyclic Pursuit
• Elements of applied bifurcation theory

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