An inverted pendulum can be fully stabilized using time-delayed feedback. In contrast, for human stick balancers the stick always falls. It is suggested that stick falls are a consequence transient micro-chaotic dynamics which naturally arises because of the interplay between time-delayed feedback, a sensory dead zone and the frequency-dependent encoding of force.

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Why Does a Stick Balanced on the Fingertip Fall?

  • John Milton,
  • Tamás Insperger

摘要

An inverted pendulum can be fully stabilized using time-delayed feedback. In contrast, for human stick balancers the stick always falls. It is suggested that stick falls are a consequence transient micro-chaotic dynamics which naturally arises because of the interplay between time-delayed feedback, a sensory dead zone and the frequency-dependent encoding of force.