Abstract
In many dynamical systems, an invariant manifold attracts the phase‐space flow. These manifolds can be approximated by an iterative method based on a functional equation treatment. However, a convergent mapping is not automatically generated from the functional equation. Nevertheless, it is possible to construct a convergent mapping by a simple modification of the original functional equation. As an example, a convergent sequence of approximations to the slow manifold of the Michaelis–Menten system is constructed.
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Roussel, M.R. Forced‐convergence iterative schemes for the approximation of invariant manifolds. Journal of Mathematical Chemistry 21, 385–393 (1997). https://doi.org/10.1023/A:1019151225744
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DOI: https://doi.org/10.1023/A:1019151225744