Two-dimensional maps at the edge of chaos: Numerical results for the Henon map
Articles > Article · 2002
Authors: Uğur TIRNAKLI
Physical Review E, Journal Indexed in SCI Expanded, International, WoS, 2002, vol 66, pp 066212-066212
DOI: 10.1103/physreve.66.066212
Summary
The mixing properties (or sensitivity to initial conditions) of the 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 one-dimensional maps, have been used to accomplish this task. These methods are (i) the measure of the divergence of initially nearby orbits, (ii) analysis of the multifractal spectrum, and (iii) computation of nonextensive entropy increase rates. The results obtained closely agree with those of the one-dimensional cases and constitute a verification of this scenario in two-dimensional maps. This obviously makes the idea of weak chaos even more robust.