BOUNDS ON THE OGASA NUMBER FOR ORDERED CONTINUATIONS OF LYAPUNOV GRAPHS
We present ordered continuations of an abstract Lyapunov semi-graph and define the Ogasa number for ordered continuations of New proofs of results on the minimal number of singularities in a Lyapunov graph continuation in [3] and of the handle type decomposition theorem in [1] are provided. Using these results, we obtain lower and upper bounds for the Ogasa number for all possible ordered continuations of
Conley index theory, Morse-Smale flows.