ON DETECTING STATIONARY BIFURCATIONS
R�diger Seydel · International Journal of Bifurcation and Chaos · 1991
Locating stationary bifurcations amounts to measuring the singularity of parameter-dependent Jacobian matrices. A well-known example of a measure of singularity is the determinant, requiring O(n) operations to calculate when a decomposition of the matrix is available. This paper discusses an alternative for the case of rank-deficiency one. An algorithm will be based on elements of the inverse Jacobian. The alternative has useful scaling properties, providing estimates of a sensitivity analysis.