Hidden Attractor in a Passive Motion Model of Compass-Gait Robot

DOI10.1142/S0218127418501717zbMath1412.34162OpenAlexW2910719784WikidataQ128683855 ScholiaQ128683855MaRDI QIDQ4611181

Mahdi Nourian Zavareh, Fahimeh Nazarimehr, Sajad Jafari, Karthikeyan Rajagopal

Publication date: 24 January 2019

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

Full work available at URL: https://doi.org/10.1142/s0218127418501717

zbMATH Keywords

basin of attractionhidden attractorbiped robotdynamical propertiescompass-gait

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Bifurcation theory for ordinary differential equations (34C23) Kinematics of mechanisms and robots (70B15) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Attractors of solutions to ordinary differential equations (34D45)

Related Items (6)

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 ⋮ A new method for finding the proper initial conditions in passive locomotion of bipedal robotic systems ⋮ A new Poincaré map for investigating the complex walking behavior of the compass-gait biped robot ⋮ Simplest Megastable Chaotic Oscillator

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