Laboratory for Control, Learning, and Systems Biology

Papers by T. Gedeon and E.D. Sontag

2007
  1. ▪T. Gedeon, E.D. Sontag, "Oscillations in multi-stable monotone systems with slowly varying feedback", J. of Differential Equations, vol. 239, pp. 273-295, 2007. pdf
    systems biology · reaction networks · nonlinear stability · dynamical systems · monotone systems
    Abstract

    This paper gives a theorem showing that a slow feedback adaptation, acting entirely analogously to the role of negative feedback for ordinary relaxation oscillations, leads to periodic orbits for bistable monotone systems. The proof is based upon a combination of i/o monotone systems theory and Conley Index theory.