Lin's method for heteroclinic chains involving periodic orbits

Details Lin's method for heteroclinic chains involving periodic orbits Lin's method for heteroclinic chains involving periodic orbits

2009-03-27

arxiv.org/abs/0903.4902v1

Nonlinearity 23 (2010), 23-54

Mathematics

Dynamical Systems

Scientific paper

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).

Affiliated with

Also associated with

No associations

Rating

Lin's method for heteroclinic chains involving periodic orbits does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lin's method for heteroclinic chains involving periodic orbits, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lin's method for heteroclinic chains involving periodic orbits will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-187957