In phase spaces of dimension at least 6, finite data permitting an isolating block with Conley index of a saddle-node bifurcation can be realized by deforming the unknown vector field into a canonical model with one structurally stable saddle-node, without altering dynamics outside the block.
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Realizing Saddle-Node Bifurcations from Finite Data
In phase spaces of dimension at least 6, finite data permitting an isolating block with Conley index of a saddle-node bifurcation can be realized by deforming the unknown vector field into a canonical model with one structurally stable saddle-node, without altering dynamics outside the block.