A parameterization Newton scheme with prescribed frequencies and pseudo-arclength unfolding computes and traverses reducible quasiperiodic saddle-node bifurcations of invariant tori in autonomous ODEs.
Algorithms for computing normally hyperbolic invariant manifolds
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Numerical Computation of Quasiperiodic Reducible Saddle-Node Bifurcations: a Parameterization Method Approach
A parameterization Newton scheme with prescribed frequencies and pseudo-arclength unfolding computes and traverses reducible quasiperiodic saddle-node bifurcations of invariant tori in autonomous ODEs.