Lin's method for heteroclinic chains involving periodic orbits

Knobloch, Jürgen; Rieß, Thorsten

Lin's method for heteroclinic chains involving periodic orbits

Files

12918.pdf(1.46 MB)

Date

2010

Authors

Knobloch, Jürgen

Rieß, Thorsten

Publication type

Journal article

Published in

Nonlinearity ; 23 (2010), 1. - pp. 23-54

Abstract

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).

Subject (DDC)

004 Computer Science

Keywords

Mathematical physics,Statistical physics and nonlinear systems

Cite This

ISO 690

KNOBLOCH, Jürgen, Thorsten RIESS, 2010. Lin's method for heteroclinic chains involving periodic orbits. In: Nonlinearity. 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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