Walker Exercise

Bones and floors are hard. Joints are quite flexible until they hit rigid limits. In studying human locomotion, one often makes the approximation that the motion of ones limbs is energy conserving except for abrupt impacts (foot hits the ground, knee joint goes straight) at which point energy is dissipated but momentum and angular momentum are conserved. Most of these models tend to be simple to describe, but rather complex to write down or program. Here we implement a remarkably simple model of walking, which exhibits period doubling and chaos. We will learn

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James P. Sethna, Christopher R. Myers.

Last modified: August 21, 2007

Statistical Mechanics: Entropy, Order Parameters, and Complexity, now available at Oxford University Press (USA, Europe).