Lin's method for heteroclinic chains involving periodic orbits

Knobloch, Jürgen; Rieß, Thorsten

Lin's method for heteroclinic chains involving periodic orbits

Dateien

12918.pdfGröße: 1.46 MBDownloads: 259

Datum

2010

Autor:innen

Knobloch, Jürgen

Rieß, Thorsten

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Informatik und Informationswissenschaft

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Nonlinearity. 2010, 23(1), pp. 23-54. Available under: doi: 10.1088/0951-7715/23/1/002

Zusammenfassung

We present an extension of the theory known as Lin's method to heteroclinic chains that connect hyperbolic equilibria and hyperbolic periodic orbits. Based on the construction of a so-called Lin orbit, that is a sequence of continuous partial orbits that only have jumps in a certain prescribed linear subspace, estimates for these jumps are derived. We use the jump estimates to discuss bifurcation equations for homoclinic orbits near heteroclinic cycles between an equilibrium and a periodic orbit (EtoP cycles).

Fachgebiet (DDC)

004 Informatik

Schlagwörter

Mathematical physics, Statistical physics and nonlinear systems

Zitieren

ISO 690

KNOBLOCH, Jürgen, Thorsten RIESS, 2010. Lin's method for heteroclinic chains involving periodic orbits. In: Nonlinearity. 2010, 23(1), pp. 23-54. Available under: doi: 10.1088/0951-7715/23/1/002

BibTex

@article{Knobloch2010metho-6160,
  year={2010},
  doi={10.1088/0951-7715/23/1/002},
  title={Lin's method for heteroclinic chains involving periodic orbits},
  number={1},
  volume={23},
  journal={Nonlinearity},
  pages={23--54},
  author={Knobloch, Jürgen and Rieß, Thorsten}
}

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