CYCLE-CREATING BIFURCATION FROM A FAMILY OF EQUILIBRIA OF A DYNAMICALSYSTEM AND ITS DELAY

For a dynamical system with cosymmetry, a study is made of the bifurca tion in which a cycle branches off from an equilibrium in a continuous one-parameter family of equilibria, as the parameter passes through a critical value. Unlike the classical situation that occurs when the e quilibrium is isolated, a self-excited oscillatory mode generally bran ches off with delay relative to the parameter. Another characteristic difference is the possibility of supercritical branching of an unstabl e limit cycle. (C) 1998 Elsevier Science Ltd. All rights reserved.