Morse equations and unstable manifolds of isolated invariant sets

Details Morse equations and unstable manifolds of isolated invariant sets Morse equations and unstable manifolds of isolated invariant sets

Jul 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003nonli..16.1435s&link_type=abstract

Nonlinearity, Volume 16, Issue 4, pp. 1435-1448 (2003).

Mathematics

Logic

2

Scientific paper

We describe a new way of obtaining the Morse equations of a Morse decomposition of an isolated invariant set. This is achieved through a filtration of truncated unstable manifolds associated with the decomposition. The results in the paper make it possible to calculate the Morse equations (and also the Conley index) in many interesting situations without using index pairs. We also study the intrinsic topology of the unstable manifold and obtain new duality properties of the cohomological Conley index.

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