Laboratory for Control, Learning, and Systems Biology

Papers by M.W. Hirsch and E.D. Sontag

2009
  1. ▪D. Angeli, M.W. Hirsch, E.D. Sontag, "Attractors in coherent systems of differential equations", J. of Differential Equations, vol. 246, pp. 3058-3076, 2009. pdf
    monotone systems · positive feedback systems
    Abstract

    Attractors of cooperative dynamical systems are particularly simple; for example, a nontrivial periodic orbit cannot be an attractor. This paper provides characterizations of attractors for the wider class of systems defined by the property that all directed feedback loops are positive. Several new results for cooperative systems are obtained in the process.