2016
Effects of Symmetry on the Structural Controllability of Neural Networks: A Perspective
Whalen A, Brennan S, Sauer T, Schiff S. Effects of Symmetry on the Structural Controllability of Neural Networks: A Perspective. Proceedings Of The 2010 American Control Conference 2016, 2016: 5785-5790. PMID: 29176923, PMCID: PMC5699861, DOI: 10.1109/acc.2016.7526576.Peer-Reviewed Original ResearchGroup representation theoryStructural controllabilityMan-made networksDynamical systemsOptimal actuatorRepresentation theoryEffect of symmetryControl inputExplicit symmetryCritical actuatorsEngineering systemsComplex networksSymmetryControllabilityMinimum numberActuatorsCoupling structureStructural symmetryNeural networkNetworkRecent workTheorySystemBroad interest
2015
Observability and Controllability of Nonlinear Networks: The Role of Symmetry
Whalen A, Brennan S, Sauer T, Schiff S. Observability and Controllability of Nonlinear Networks: The Role of Symmetry. Physical Review X 2015, 5: 011005. PMID: 30443436, PMCID: PMC6234006, DOI: 10.1103/physrevx.5.011005.Peer-Reviewed Original ResearchNonlinear networksMathematical modelPresence of symmetryComplex nonlinear networksRole of symmetryNetworked systemsExplicit symmetryLinear networkSuch subspacesPresent theoryRotational symmetryStructural controllabilityObservabilityReal systemComplex networksSymmetryControllabilityObserver modelNonlinear measuresSuch networksSubspaceModel behaviorNetwork observationsNetworkModel
2012
Observability of Neuronal Network Motifs
Whalen A, Brennan S, Sauer T, Schiff S. Observability of Neuronal Network Motifs. 2012, 2012: 1-5. PMID: 25909092, PMCID: PMC4405257, DOI: 10.1109/ciss.2012.6310923.Peer-Reviewed Original ResearchNetwork observabilitySystem phase spaceFull network informationNetwork dynamicsNodal dynamicsNeuronal network motifsNodal equationsPhase spaceObservability metricsLimited measurement dataNeuron motifsConnection topologyObservabilitySmall neuronal networksNetwork motifsSuch networksMeasurement dataSymmetryDynamicsTopologyOrders of magnitudeEquationsNonlinearityFuture experimental workNetwork information
2002
Limits to the experimental detection of nonlinear synchrony
So P, Barreto E, Josić K, Sander E, Schiff S. Limits to the experimental detection of nonlinear synchrony. Physical Review E 2002, 65: 046225. PMID: 12005994, DOI: 10.1103/physreve.65.046225.Peer-Reviewed Original Research