MS36 ~ Tuesday, May 23, 1995 ~ 2:30 PM

On-Off Intermittency, Riddled Basins, and Driven Bifurcations

Many systems are observed to exhibit short bursts of intense activity, followed by periods of quiescence. Sustained alternation between these two qualitatively different states is called intermittency. The topic of this minisymposium is a relatively new type of intermittent behavior, known as On-Off intermittency. This model characterizes intermittency by a dynamic forcing of a system parameter irregularly through a bifurcation point.

The speakers will discuss some of the distinguishing features that have been found: statistical properties and the effects of noise have been examined analytically; a complementary approach to the underlying bifurcation behavior has been found to cause "riddled" basins of attraction; a laboratory experiment has verified certain predictions; and an intriguing explanation for the fluctuation in number of sunspots has been provided by On-Off intermittency.

Organizer: Stephen Hammel, Naval Surface Warfare Center

The Intermittent Solar Cycle
Edward Spiegel, Columbia University
Statistical Properties of On-Off Intermittent Signals
James Heagy, Naval Research Laboratory
On-Off Intermittency with Additive Noise _ Comparing Theory with Experiment
Nathan Platt, Naval Surface Warfare Center
Blowout Bifurcations: Symmetry Breaking, On-off Intermittency, and Riddled Basins
John Sommerer, Johns Hopkins University
Modulational Intermittency in Distributed Systems
Arkady S. Pikovsky and Jurgen Kurths, Potsdam University, Germany