Continuation of Invariant Subspaces in Large Bifurcation Problems
Continuation of Invariant Subspaces in Large Bifurcation Problems
We summarize an algorithm for computing a smooth orthonormal basis for an invariant subspace of a parameter-dependent matrix, and describe how to extend it for numerical bifurcation analysis. We adapt the continued subspace to track behavior relevant to bifurcations, and use projection methods to deal with large problems. To test …