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Computer assisted proof for normally hyperbolic invariant manifolds
2012
Nonlinearity
We present a topological proof of the existence of a normally hyperbolic invariant manifold for maps. In our approach we do not require that the map is a perturbation of some other map for which we already have an invariant manifold. But a non-rigorous, good enough, guess is necessary. The required assumptions are formulated in a way which allows for rigorous computer assisted verification. We apply our method for a driven logistic map, for which non-rigorous numerical simulation in plain
doi:10.1088/0951-7715/25/7/1997
fatcat:2zmrwescb5bixfwbx2auasvovi