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math.DS2026
Consensus-Breaking Global Hopf Bifurcation in Memory-Based Multi-Agent Systems
Casey Maikalani Crane
This dissertation provides the first systematic study of symmetric consensus-breaking bifurcation to periodic multiconsensus in multi-agent systems. It analyzes this for three clas…
math.DS2026
Global Hopf Bifurcation and Symmetric Periodic Solutions in Multi-Agent Systems with Neutral Distributed Delays
Casey Crane
We study the emergence of symmetric oscillatory behavior in multi-agent systems where each agent incorporates a continuous memory of its past states and past rates of change, model…