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Numerical Computation and Continuation of Invariant Manifolds Connecting Fixed Points

Numerical Computation and Continuation of Invariant Manifolds Connecting Fixed Points

A numerical method for the computation of an invariant manifold that connects two fixed points of a vector field in $\mathbb{R}^n $ is given, extending the results of an earlier paper [Comput. Appl. Math., 26 (1989), pp. 159'170] by the authors. Basically, a boundary value problem on the real line …