Parametrisation of Local Invariant Manifolds
نویسندگان
چکیده
We present a method to compute enclosures of the local invariant manifolds of a hyperbolic saddle of an analytic vector eld. By considering parametrisations of the invariant manifolds, instead of describing them as graphs of functions from the corresponding tangent spaces, we nd simple recursive formulae for their Taylor coe cients. In addition to this, we obtain rigorous bounds on the remainder terms of the Taylor series.
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