A topological approach to the algorithmic computation of the Conley index for Poincaré maps

Tytuł:
A topological approach to the algorithmic computation of the Conley index for Poincaré maps
Czasopismo:
Rok:
2015

Opis:
A new algorithm for computing the Conley index of the Poincaré map of a time-periodic nonautonomous ordinary differential equation is presented. The algorithm is based on a theorem which reduces the computation of the index to the study of certain singular chains on an index pair for some small-step translation operator of the equation. In particular, no numerical enclosures of the Poincaré map are required. Concrete numerical examples for planar systems are provided.

Strony:
1348-1386

Tom (seria wydawnicza):
14

Numer DOI:
10.1137/15M100794X

Link:
http://dx.doi.org/10.1137/15M100794X