A Locally Parameterized Continuation Process

Abstract

The design of a package of continuation procedures called PITCON to handle the following tasks is described (1) follow numerically any a priori specified curve on an equilibrium manifold; (2) on such a curve determme the exact location of target pomts where a given variable has a specified value; and (3) on such a curve identify and compute exactly the (simple) limit pomts where stability may be lost. The process ISbased on the local parametenzation which uses an estimate of the curvature to control the choice of parameter variable. © 1983, ACM. All rights reserved.