Rigorous Validation of Isolating Blocks for Flows and Their Conley Indices

  title={Rigorous Validation of Isolating Blocks for Flows and Their Conley Indices},
  author={Thomas Stephens and Thomas Wanner},
  journal={SIAM J. Applied Dynamical Systems},
Isolated invariant sets and their associated Conley indices are valuable tools for studying dynamical systems and their global invariant structures. Through their design, they aim to capture invariant behavior which is robust under small perturbations, and this in turn makes them amenable to a computational treatment. Over the years, a number of algorithms have been proposed to find index pairs for an isolated invariant set, and then to use an index pair to compute the associated Conley index… CONTINUE READING


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