El Mètode de la parametrització en sistemes dinàmics

Authors

  • Alejandro Luque Jiménez

Abstract

This paper presents an overview of the parameterization method to study invariant manifolds in dynamical systems. Our purpose is to present the key ideas in a digestible way to the reader not familiar with the topic. First, we will state the general problem of finding invariant manifolds, and then we will discuss specific problems: manifolds associated with fixed points or equilibria; general normally hyperbolic invariant manifolds and invariant tori with quasiperiodic dynamics. The latter problem is included in the so-called KAM theory.

Downloads

Published

2012-07-12

How to Cite

Luque Jiménez, A. (2012). El Mètode de la parametrització en sistemes dinàmics. Butlletí De La Societat Catalana De Matemàtiques, 27(1), 5–38. Retrieved from https://revistes.iec.cat/index.php/BSCM/article/view/75929.001

Issue

Vol. 27 No. 1 (2012)

Section

Articles

License

The intellectual property of articles belongs to the respective authors.

On submitting articles for publication to the journal Butlletí de la Societat Catalana de Matemàtiques, authors accept the following terms:

  1. Authors assign to Societat Catalana de Matemàtiques (a subsidiary of Institut d’Estudis Catalans) the rights of reproduction, communication to the public and distribution of the articles submitted for publication to Butlletí de la Societat Catalana de Matemàtiques.
  2. Authors answer to Societat Catalana de Matemàtiques for the authorship and originality of submitted articles.
  3. Authors are responsible for obtaining permission for the reproduction of all graphic material included in articles.
  4. Societat Catalana de Matemàtiques declines all liability for the possible infringement of intellectual property rights by authors.
  5. The contents published in the journal, unless otherwise stated in the text or in the graphic material, are subject to a Creative Commons Attribution-NonCommercial-NoDerivs (by-nc-nd) 3.0 Spain licence, the complete text of which may be found at https://creativecommons.org/licenses/by-nc-nd/3.0/es/deed.en. Consequently, the general public is authorised to reproduce, distribute and communicate the work, provided that its authorship and the body publishing it are acknowledged, and that no commercial use and no derivative works are made of it.
  6. The journal Butlletí de la Societat Catalana de Matemàtiques is not responsible for the ideas and opinions expressed by the authors of the published articles.