Chaotic Dynamics of Forest Fires

Details Chaotic Dynamics of Forest Fires Chaotic Dynamics of Forest Fires

2002-04-23

arxiv.org/abs/cond-mat/0204492v2

Frontiers on Nonlinear Dynamics 3, 334-343 (2004)

Physics

Condensed Matter

9 pages, 10 figures

Scientific paper

In the thermodynamic limit, a probabilistic cellular automaton can be approximated by a deterministic nonlinear map. Here we construct such a map for the forest fire problem. The construction is based on the results of the Monte Carlo simulation, performed on a square lattice of million cells. The results of the calculation are analyzed by means of the Hoshen--Kopelman algorithm (HKA). The only parameter of the map describes the probability that a tree appears at an empty cell during one time step. The obtained map seems to be non-differentiable at the percolation threshold. The Lyapunov exponent for the map is positive. Also, we found the cycle of length three by means of the method of symbolic dynamics. The results are illustrated by the experimental data on the forest fires in Canada in years 1970--2000. Although these data are fortunately far from thermodynamic limit, their qualitative character is reproduced for smaller lattices.

Affiliated with

Also associated with

No associations

Rating

Chaotic Dynamics of Forest Fires 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 Chaotic Dynamics of Forest Fires, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chaotic Dynamics of Forest Fires will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-231290