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

Authors

  • 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

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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