<b>Lyapunov{type numbers for Poincaré maps</b> - doi: 10.5269/bspm.v24i1-2.7443

Jens Lorenz; Kossi E. Doh

doi:10.5269/bspm.v24i1-2.7443

<b>Lyapunov{type numbers for Poincaré maps</b> - doi: 10.5269/bspm.v24i1-2.7443

Jens Lorenz Universty of New Mexico
Kossi E. Doh University of New Mexico

DOI: https://doi.org/10.5269/bspm.v24i1-2.7443

Keywords: Invariant curves, arclength parametrization, invariant manifolds under perturbations, Lyapunov-type numbers.

Abstract

In [3] we have addressed computational issues related to Lyapunov-type numbers for invariant curves of planar maps. These numbers are important for understanding persistence and breakdown of the invariant curves when the map is perturbed. The purpose of this paper is to apply the results of [3] to Poincaré maps of systems of ODEs depending on a parameter and to address numerical issues involved.

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Issue

Vol 24 No 1-2 (2006)

Section

Essays

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