Design of an explicit expression of the Poincaré map for the passive dynamic walking of the compass-gait biped model

W Znegui, H Gritli, S Belghith - Chaos, Solitons & Fractals, 2020 - Elsevier
This paper presents a design method of an explicit analytical classical expression of the
Poincaré map for the passive dynamic walking (PDW) of the planar compass-gait biped …
W Znegui, H Gritli, S Belghith - Nonlinear Dynamics, 2020 - Springer
The compass-gait biped robot is a two-DoF legged mechanical system that has been known
by its passive dynamic walking. This kind of passive biped robot is modeled by an impulsive …

A new Poincaré map for investigating the complex walking behavior of the compass-gait biped robot

W Znegui, H Gritli, S Belghith - Applied Mathematical Modelling, 2021 - Elsevier
The planar compass-gait biped robot is recognized by its simple passive morphological
structure and by a complex dynamic walking system modeled by an impulsive hybrid …

Trajectory tracking-based control of the chaotic behavior in the passive bipedal compass-type robot

E Added, H Gritli, S Belghith - The European Physical Journal Special …, 2022 - Springer
This paper deals mainly with the control of the complex and rhythmic behaviors of the
passive dynamic walk of the bipedal compass-type robot. The walking gait of such biped …

Further analysis of the passive dynamics of the compass biped walker and control of chaos via two trajectory tracking approaches

E Added, H Gritli, S Belghith - Complexity, 2021 - Wiley Online Library
This work consists in analyzing and controlling the walk of the compass‐type bipedal walker
in order to stabilize its passive dynamic gait. The dynamic walking of the compass‐gait …

Walking dynamics of a semi-passive compass-like robot with impulse thrust

G Zhou, X Hui, J Chen, G Jiang - Nonlinear Dynamics, 2023 - Springer
In this paper, a two-DoF (degree-of-freedom) semi-passive compass-like biped model with
nonlinear impulse thrust is considered and investigated. Conditions for the existence and …

Occurrence of complex behaviors in the uncontrolled passive compass biped model

E Added, H Gritli, S Belghith - Chaos Theory and Applications, 2022 - dergipark.org.tr
It is widely known that an appropriately built unpowered bipedal robot can walk down an
inclined surface with a passive steady gait. The features of such gait are determined by the …

Dynamic Effect of Bidirectional Crowd Behavior on Footbridges Considering Human–Structure Interaction

X Zhang, W Yang, Q Zhu, Z Chen - Journal of Bridge Engineering, 2025 - ascelibrary.org
This study employed an enhanced social force model to investigate the impact of
bidirectional crowd load on the vertical vibration characteristics of pedestrian bridges. The …

Nonlinear dynamics and Poincaré sections to model gait impairments in different stages of Parkinson's disease

PA Pérez-Toro, JC Vásquez-Correa, T Arias-Vergara… - Nonlinear …, 2020 - Springer
Parkinson's disease is a progressive neurological disorder that affects the motor system and
produces several problems to control muscles and limbs. One of the major manifestations of …

Sharp changes in fractal basin of attraction in passive dynamic walking

K Okamoto, N Akashi, I Obayashi, K Nakajima… - Nonlinear …, 2023 - Springer
A passive dynamic walker is a mechanical system that walks down a slope without any
control, and gives useful insights into the dynamic mechanism of stable walking. This system …