Henon mappings in the complex domain II: projective and inductive limits of polynomials

Details Henon mappings in the complex domain II: projective and inductive limits of polynomials Henon mappings in the complex domain II: projective and inductive limits of polynomials

1994-01-12

arxiv.org/abs/math/9401224v1

Mathematics

Dynamical Systems

Scientific paper

Let H: C^2 -> C^2 be the Henon mapping given by (x,y) --> (p(x) - ay,x). The key invariant subsets are K_+/-, the sets of points with bounded forward images, J_+/- = the boundary of K_+/-, J = the union of J_+ and J_-, and K = the union of K_+ and K_-. In this paper we identify the topological structure of these sets when p is hyperbolic and |a| is sufficiently small, ie, when H is a small perturbation of the polynomial p. The description involves projective and inductive limits of objects defined in terms of p alone.

Affiliated with

Also associated with

No associations

Rating

Henon mappings in the complex domain II: projective and inductive limits of polynomials 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 Henon mappings in the complex domain II: projective and inductive limits of polynomials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Henon mappings in the complex domain II: projective and inductive limits of polynomials will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-339946