Analyzing Bifurcation, Stability and Chaos for a Passive Walking Biped Model with a Sole Foot

DOI10.1142/S0218127418501134zbMath1401.34058WikidataQ129326383 ScholiaQ129326383MaRDI QIDQ4691113

Maysam Fathizadeh, Hossein Mohammadi, Sajjad Taghvaei

Publication date: 18 October 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

instabilitychaosbifurcationpassive walking modelsole foottransition dynamic

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Biomechanics (92C10) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (5)

Design of an explicit expression of the Poincaré map for the passive dynamic walking of the compass-gait biped model ⋮ Walking dynamics of a semi-passive compass-like robot with impulse thrust ⋮ Stabilization of the passive walking dynamics of the compass-gait biped robot by developing the analytical expression of the controlled Poincaré map ⋮ Walking dynamics for an ascending stair biped robot with telescopic legs and impulse thrust ⋮ A further analysis of the passive compass-gait bipedal robot and its period-doubling route to chaos

Cites Work

• Unnamed Item
• Modeling and analysis of passive dynamic bipedal walking with segmented feet and compliant joints
• A different switching surface stabilizing an existing unstable periodic gait: an analysis based on perturbation theory
• Passively walking five-link robot
• Modelling the effect of `heel to toe' roll-over contact on the walking dynamics of passive biped robots
• The role of impact in the stability of bipedal locomotion
• Efficiency, speed, and scaling of two-dimensional passive-dynamic walking

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