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Sue Ann Campbell - Calculating center manifolds for delay equations in maple



SUE ANN CAMPBELL, University of Waterloo, Waterloo, Ontario  N2L 3G1
Calculating center manifolds for delay equations in maple


We present an algorithm for symbolically computing centre manifolds for delay-differential equations when an arbitrary (finite) number of eigenvalues of a characteristic equation have zero real part. The implementation of this algorithm in the symobolic algebra language Maple is discussed, and examples of its application to the investigation of various bifurcations are presented.