---
res:
  bibo_abstract:
  - In this work we review the novel framework for the computation of finite dimensional
    invariant sets of infinite dimensional dynamical systems developed in [6] and
    [36]. By utilizing results on embedding techniques for infinite dimensional systems
    we extend a classical subdivision scheme [8] as well as a continuation algorithm
    [7] for the computation of attractors and invariant manifolds of finite dimensional
    systems to the infinite dimensional case. We show how to implement this approach
    for the analysis of delay differential equations and partial differential equations
    and illustrate the feasibility of our implementation by computing the attractor
    of the Mackey-Glass equation and the unstable manifold of the one-dimensional
    Kuramoto-Sivashinsky equation.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Raphael
      foaf_name: Gerlach, Raphael
      foaf_surname: Gerlach
      foaf_workInfoHomepage: http://www.librecat.org/personId=32655
  - foaf_Person:
      foaf_givenName: Adrian
      foaf_name: Ziessler, Adrian
      foaf_surname: Ziessler
  bibo_doi: 10.1007/978-3-030-51264-4_3
  bibo_volume: 304
  dct_date: 2020^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/2198-4182
  - http://id.crossref.org/issn/2198-4190
  - http://id.crossref.org/issn/9783030512637
  - http://id.crossref.org/issn/9783030512644
  dct_language: eng
  dct_publisher: Springer International Publishing@
  dct_title: The Approximation of Invariant Sets in Infinite Dimensional Dynamical
    Systems@
...