Visual Computing

University of Konstanz

Linś method for heteroclinic chains involving periodic orbits

J. Knobloch, T. Rieß


We present an extension of the theory known as Linś 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).


  author     = {J. Knobloch and T. Rieß},
  journal    = {Nonlinearity},
  number     = {1},
  pages      = {23},
  title      = {Linś method for heteroclinic chains involving periodic orbits},
  url        = {},
  volume     = {23},
  year       = {2010},

Supplemental Material

Paper (.pdf, 524.3 KB)