The Asymptotic Number of Attractors in the Random Map Model

Details The Asymptotic Number of Attractors in the Random Map Model The Asymptotic Number of Attractors in the Random Map Model

2002-07-11

arxiv.org/abs/physics/0207044v2

Physics

Biological Physics

16 pages, 1 figure. Minor changes. To be published in Journal of Physics A: Mathematical and General

Scientific paper

10.1088/0305-4470/36/13/304

The random map model is a deterministic dynamical system in a finite phase space with n points. The map that establishes the dynamics of the system is constructed by randomly choosing, for every point, another one as being its image. We derive here explicit formulas for the statistical distribution of the number of attractors in the system. As in related results, the number of operations involved by our formulas increases exponentially with n; therefore, they are not directly applicable to study the behavior of systems where n is large. However, our formulas lend themselves to derive useful asymptotic expressions, as we show.

Affiliated with

Also associated with

No associations

Rating

The Asymptotic Number of Attractors in the Random Map Model 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 The Asymptotic Number of Attractors in the Random Map Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Asymptotic Number of Attractors in the Random Map Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-185472