Asymptotic expansions of unstable (stable) manifolds in time-discrete systems

Details Asymptotic expansions of unstable (stable) manifolds in time-discrete systems Asymptotic expansions of unstable (stable) manifolds in time-discrete systems

1999-10-18

arxiv.org/abs/chao-dyn/9910025v1

Nonlinear Sciences

Chaotic Dynamics

14pages, 7figures

Scientific paper

By means of an updated renormalization method, we construct asymptotic expansions for unstable manifolds of hyperbolic fixed points in the double-well map and the dissipative H\'enon map, both of which exhibit the strong homoclinic chaos. In terms of the asymptotic expansion, a simple formulation is presented to give the first homoclinic point in the double-well map. Even a truncated expansion of the unstable manifold is shown to reproduce the well-known many-leaved (fractal) structure of the strange attractor in the H\'enon map.

Affiliated with

Also associated with

No associations

Rating

Asymptotic expansions of unstable (stable) manifolds in time-discrete systems 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 Asymptotic expansions of unstable (stable) manifolds in time-discrete systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic expansions of unstable (stable) manifolds in time-discrete systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-325172