Common formation mechanism of basin of attraction for bipedal walking models by saddle hyperbolicity and hybrid dynamics
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Publication:495865
DOI10.1007/s13160-015-0181-9zbMath1358.37125arXiv1407.5720OpenAlexW840498536WikidataQ59404143 ScholiaQ59404143MaRDI QIDQ495865
Shinya Aoi, Ippei Obayashi, Kazuo Tsuchiya, Hiroshi Kokubu
Publication date: 15 September 2015
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.5720
Dynamical systems in biology (37N25) Biomechanics (92C10) Hybrid systems of functional-differential equations (34K34)
Related Items (4)
Walking dynamics of the passive compass-gait model under OGY-based state-feedback control: analysis of local bifurcations via the hybrid Poincaré map ⋮ Stabilization of the passive walking dynamics of the compass-gait biped robot by developing the analytical expression of the controlled Poincaré map ⋮ Energy-efficacy comparisons and multibody dynamics analyses of legged robots with different closed-loop mechanisms ⋮ Walking dynamics of the passive compass-gait model under OGY-based state-feedback control: rise of the Neimark-Sacker bifurcation
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