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).

@article{Knobloch2010Linsmethodheteroclinic, author = {J. Knobloch and T. Rieß}, journal = {Nonlinearity}, number = {1}, pages = {23}, title = {Linś method for heteroclinic chains involving periodic orbits}, url = {http://stacks.iop.org/0951-7715/23/i=1/a=002}, volume = {23}, year = {2010}, }