Riddled-like basins of transient chaos
The set of initial conditions leading to transient chaos in the neighborhood of a crisis is shown to display riddled-like behavior for finite, arbitrarily small accuracy. Calculations are performed with the logistic equation, as well as with an experimentally verifiable, quantitative description of a chemical reaction. Limitations in computational or experimental accuracy make the apparent riddling of initial conditions a phenomenon that is indistinguishable from riddled basins.
Woltering
M
Max Planck Institut fur Molekulare Physiologie, Postfach 500247, 44202 Dortmund, Germany.
Markus
M