Continuousseparation for monotone skew-productsemiflows: From theoretical to numerical results
Juan Antonio Aparicio Calzada, Rafael Obaya, Ana M. Sanz · Discrete and Continuous Dynamical Systems - B · 2015
This paper investigates relevant dynamical properties of nonautonomous linear cooperative families of ODEs and FDEs based on the existence of a continuous separation. Itprovides numerical algorithms for the computation of the dominant one-dimensional subbundle of the continuous separation and the upper Lyapunov exponent of the semiflow. Theextension of the theory to general linear cooperative families of ODEs and FDEs without strong monotonicity is also given. Finally these methods and results are appliedin the study of nonlinear families of neural networks of Hopfield type with sigmoidal activation function.