Swarms on the 3-sphere with adaptive synapses: Hebbian and anti-Hebbian learning rule

DOI10.1016/J.SYSCONLE.2018.10.004zbMath1408.93008OpenAlexW2899255433WikidataQ129024314 ScholiaQ129024314MaRDI QIDQ1729067

Aladin Crnkić, Vladimir Jacimovic

Publication date: 27 February 2019

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2018.10.004

zbMATH Keywords

3-spheremulti-agent systemcoordinationconsensusadaptive synapses

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Decentralized systems (93A14) Algebraic methods (93B25) Agent technology and artificial intelligence (68T42)

Related Items (4)

Fast and slow velocity alignments in a Cucker-Smale ensemble with adaptive couplings ⋮ High-dimensional Kuramoto models on Stiefel manifolds synchronize complex networks almost globally ⋮ Counterexamples in synchronization: pathologies of consensus seeking gradient descent flows on surfaces ⋮ Conformists and contrarians on spheres

Cites Work

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• A nonlinear model of opinion formation on the sphere
• Consensus and balancing on the three-sphere
• Synchronization of Kuramoto Oscillators with Adaptive Couplings
• Unified Cooperative Control of Multiple Agents on a Sphere for Different Spherical Patterns
• Quantum synchronization over quantum networks
• Non-Abelian Kuramoto models and synchronization
• Consensus Optimization on Manifolds
• Stability and Long Term Behavior of a Hebbian Network of Kuramoto Oscillators
• Stabilization of Planar Collective Motion: All-to-All Communication
• Almost global consensus on the n-sphere

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