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• W2740379750 abstract "We construct a simple, yet rigorous mathematical model for walk- ing. Our model exhibits robust limit cycle behavior, a feature commonly ob- served in biomechanical experiments. As such, it may serve as a case study for more complex models by identifying core mechanisms of walking. The singular nature of contact makes walking a difficult problem to analyze mathematically. To overcome this, we consider a simple triple mass-spring sys- tem as a model for a walker and we regularize the ground contact. We reduce the system by translation symmetries and prove the existence of limit cycles in the reduced phase space under small periodic forcings. In the unreduced phase space, the lifted trajectories are stable and relatively periodic, wherein each period is related to the previous by an x-translation. In conclusion, we have constructed a model which is complex enough to capture behavior characteristic of walking, yet simple enough to prove rigorous results." @default.
• W2740379750 created "2017-08-08" @default.
• W2740379750 creator A5040086724 @default.
• W2740379750 creator A5058709078 @default.
• W2740379750 date "2014-01-01" @default.
• W2740379750 modified "2023-09-27" @default.
• W2740379750 title "WALKING AS A LIMIT CYCLE THROUGH SYMMETRY REDUCTION" @default.
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• W2740379750 hasPublicationYear "2014" @default.
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