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• W1659587755 abstract "In this paper we illustrate the potential role which relative limit cycles may play in biolocomotion. We do this by describing, in great detail, an elementary example of reduction of a lightly dissipative system modeling crawling-type locomotion in 3D. The symmetry group SE(2) is the set of rigid transformations of the horizontal (ground) plane. Given a time-periodic perturbation, the system will admit a relative limit cycle whereupon each period is related to the previous by a fixed translation and rotation along the ground. This toy model identifies how symmetry reduction and dissipation can conspire to create robust behavior in crawling, and possibly walking, locomotion." @default.
• W1659587755 created "2016-06-24" @default.
• W1659587755 creator A5040086724 @default.
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• W1659587755 date "2016-01-01" @default.
• W1659587755 modified "2023-09-23" @default.
• W1659587755 title "The Role of Symmetry and Dissipation in Biolocomotion" @default.
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• W1659587755 doi "https://doi.org/10.1137/140970914" @default.
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