Online abstract and download information
We demonstrate a new type of basin boundary for typical chaotic dynamical systems. For the case of a two dimensional map, this boundary has the character of the graph of a function that is smooth and differentiable except on a set of fractal dimension less than one. In spite of the basin boundary being smooth ``almost everywhere'', its fractal dimension exceeds one (implying degradation of one's ability to predict the attractor an orbit approaches in the presence of small initial condition uncertainty). We call such a boundary sporadically fractal.Click here for a PostScript copy (130K) of the text of this paper. Here are links for the figures:
Back to my list of recent papers.
Back to my home page.Updated: June 17, 1999