Instant chaos and extreme parametric uncertainty in nonlinearly driven continuum mechanics

摘要

Bifurcation to high-dimensional hyperchaos is observed ina driven coupled pendulum-flexible rod system. When the rod is in resonance with the pendulum, the system changes from a low dimensional periodic atractor to a high dimensional chaotic attractor abruptly. It is shown that high dimensional chaotic dynamics is hysteretic, and exhibits extreme sensitivity with respect to small parameter changes. Such sensitivity poses a problem in obstructing predictability in mechanics.