Geometric methods of global attraction in systems of delay differential equations (Q1785947)

A geometric method is derived to deduce delay-independent and delay-dependent criteria of global attraction to a non-trivial equilibrium in a class of systems of delay differential equations. The results are expressed in terms of some dynamical properties of a suitable scalar discrete equation. An advantage of the approach is that delay-dependent criteria can be obtained. Two well known models where the approach provides new information are presented.