Two-dimensional maps at the edge of chaos: Numerical results for the Henon map

Details Two-dimensional maps at the edge of chaos: Numerical results for the Henon map Two-dimensional maps at the edge of chaos: Numerical results for the Henon map

2002-04-26

arxiv.org/abs/cond-mat/0204572v2

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevE.66.066212

The mixing properties (or sensitivity to initial conditions) of two-dimensional Henon map have been explored numerically at the edge of chaos. Three independent methods, which have been developed and used so far for the one-dimensional maps, have been used to accomplish this task. These methods are (i)measure of the divergence of initially nearby orbits, (ii)analysis of the multifractal spectrum and (iii)computation of nonextensive entropy increase rates. The obtained results strongly agree with those of the one-dimensional cases and constitute the first verification of this scenario in two-dimensional maps. This obviously makes the idea of weak chaos even more robust.

Affiliated with

Also associated with

No associations

Rating

Two-dimensional maps at the edge of chaos: Numerical results for the Henon map 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 Two-dimensional maps at the edge of chaos: Numerical results for the Henon map, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-dimensional maps at the edge of chaos: Numerical results for the Henon map will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-397187