Rigorous Validation of Isolating Blocks for Flows and Their Conley Indices

@article{Stephens2014RigorousVO,
  title={Rigorous Validation of Isolating Blocks for Flows and Their Conley Indices},
  author={Thomas Stephens and Thomas Wanner},
  journal={SIAM J. Applied Dynamical Systems},
  year={2014},
  volume={13},
  pages={1847-1878}
}
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

References

Publications referenced by this paper.
Showing 1-10 of 14 references

Topologische Methoden zur Analyse dynamischer Systeme

  • Dominik Eberlein
  • PhD thesis, Technische Universität München,
  • 2004
Highly Influential
10 Excerpts

Algorithmic computation of the Conley index

  • Dominik Eberlein, Jürgen Scheurle
  • Journal of Difference Equations and Applications,
  • 2006
Highly Influential
5 Excerpts

Isolated Invariant Sets and the Morse Index

  • Charles Conley
  • American Mathematical Society,
  • 1978
Highly Influential
4 Excerpts

Randomized adaptive nodal domain validation in arbitrary dimensions

  • Pawe l D lotko, Thomas Stephens, Thomas Wanner
  • In preparation,
  • 2014
2 Excerpts

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