Collens, J.Pusuluri, K.Kelley, A.Knapper, D.Xing, T.Basodi, S.Shilnikov, A. L.2024-07-092024-07-092020-07-011054-1500https://doi.org/10.1063/5.0011374https://hdl.handle.net/11452/43097National Science Foundation (NSF) IOS-1455527Brains and Behavior initiative of Georgia State UniversityWe disclose the generality of the intrinsic mechanisms underlying multistability in reciprocally inhibitory 3-cell circuits composed of simplified, low-dimensional models of oscillatory neurons, as opposed to those of a detailed Hodgkin-Huxley type [Wojcik et al., PLoS One 9, e92918 (2014)]. The computational reduction to return maps for the phase-lags between neurons reveals a rich multiplicity of rhythmic patterns in such circuits. We perform a detailed bifurcation analysis to show how such rhythms can emerge, disappear, and gain or lose stability, as the parameters of the individual cells and the synapses are varied.eninfo:eu-repo/semantics/closedAccessCentral pattern generatorArnold tonguesModelSynchronizationInterneuronsPrinciplesStabilityCircuitsRhythmsMotifsScience & technologyPhysical sciencesMathematics, appliedPhysics, mathematicalMathematicsPhysicsReview00055670330000130710.1063/5.0011374