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RATING THE PERFORMANCE OF SHOOTING METHODS FOR THE COMPUTATION OF PERIODIC ORBITS

PASCAL HEIDER

Mathematisches Institut, Universität zu Köln, Weyertal 86-90, 50931 Köln, Germany

https://doi.org/10.1142/S0218127406014721Cited by:0 (Source: Crossref)

Abstract

By means of a conditioning number for linear boundary value problems (BVP) and a stability measure for shooting methods a strategy is outlined to rate the performance of shooting methods for the calculation of periodic orbits in dynamical systems. With help of this strategy two example models are rated, with an astonishing result: the single shooting has got a better performance. In both cases it will be shown that the choice of phase condition has no influence on the performance.

Keywords:

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