Bifurcation

Asymptotically stable walking for biped robots: analysis via systems with impulse effects

J.W. Grizzle, Gabriel Abba, Franck Plestan

Citations: 992 • 2001

Finite Time Controllers

V. T. Haimo

Citations: 907 • 1986

An integral manifold approach to the feedback control of flexible joint robots

Mark W. Spong, K. Khorasani, P.V. Kokotović

Citations: 450 • 1987

Compass-Like Biped Robot Part I : Stability and Bifurcation of Passive Gaits

Ambarish Goswami, Benoît Thuilot, Bernard Espiau

Citations: 263 • 1996

Hybrid Invariant Manifolds in Systems With Impulse Effects With Application to Periodic Locomotion in Bipedal Robots

Benjamin Morris, Jessy W. Grizzle

Citations: 169 • 2009

Bifurcations and chaos in passive dynamic walking: A review

Sajid Iqbal, Xizhe Zang, Yanhe Zhu, Jie Zhao

Citations: 125 • 2014

A Restricted Poincaré Map for Determining Exponentially Stable Periodic Orbits in Systems with Impulse Effects: Application to Bipedal Robots

Benjamin Morris, Jessy W. Grizzle

Citations: 121 • 2006

Differential analysis of bifurcations and isolated singularities for robots and mechanisms

J. Kieffer

Citations: 102 • 1994

Periodic Motions of a Hopping Robot With Vertical and Forward Motion

Robert T. M’Closkey, Joel W. Burdick

Citations: 101 • 1993

A new three-dimensional chaotic system with a hidden attractor, circuit design and application in wireless mobile robot

Sundarapandian Vaıdyanathan, Aceng Sambas, Mustafa Mamat, W. S. Mada Sanjaya

Citations: 93 • 2017

SO(2)-Networks as Neural Oscillators

Frank Pasemann, Manfred Hild, Keyan Ghazi-Zahedi

Citations: 92 • 2003

Exponentially stabilizing continuous-time controllers for periodic orbits of hybrid systems: Application to bipedal locomotion with ground height variations

Kaveh Akbari Hamed, Brian G. Buss, Jessy W. Grizzle

Citations: 89 • 2015

Learning Biped Locomotion

Jun Morimoto, Christopher G. Atkeson

Citations: 79 • 2007

An "Interesting" Strange Attractor in the Dynamics of a Hopping Robot

A. F. Vakakis, Joel W. Burdick, T. K. Caughey

Citations: 78 • 1991

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

Wafa Znegui, Hassène Gritli, Safya Belghith

Citations: 72 • 2019

OGY-based control of chaos in semi-passive dynamic walking of a torso-driven biped robot

Hassène Gritli, Safya Belghith, Nahla Khraief

Citations: 67 • 2014

Bifurcation and chaos in a simple passive bipedal gait

Benoît Thuilot, Ambarish Goswami, Bernard Espiau

Citations: 66 • 2002

Dynamical Systems Approaches to Nonlinear Problems in Systems and Circuits

Fathi M. A. Salam, Mark Levi

Citations: 66 • 1988

Period-three route to chaos induced by a cyclic-fold bifurcation in passive dynamic walking of a compass-gait biped robot

Hassène Gritli, Nahla Khraief, Safya Belghith

Citations: 66 • 2012

Stabilization of the passive walking dynamics of the compass-gait biped robot by developing the analytical expression of the controlled Poincaré map

Wafa Znegui, Hassène Gritli, Safya Belghith

Citations: 63 • 2020