Experimental Observation of Crisis Induced Intermittency

摘要

The first reported observation of crisis induced intermittency (sudden chaotic attractor widening with its characteristic temporal behavior as a system parameter is varied) has been observed in a parametrically driven gravitationally buckled amorphous ribbon experiment. The experimental results are in excellent agreement with the predictions made by Grebogi, et. al. for the temporal behavior of nonlinear flows and maps near a crisis. The ribbon that is used in the experiment is a member of a new class of amorphous ferromagnetic materials that has been discovered to exhibit very large, rapid, reversible changes of Young's modulus E(H) with the application of a magnetic field. Using this large change in modulus, Savage and Adler have reported how a vertical, amorphous ribbon, clamped at the bottom and free at the top, can be made to buckle under its own weight and subsequently unbuckle by increasing a magnetic field from zero to magnetic saturation. (kr)