NDLI: Delay-induced Hopf bifurcation in the double-link inverted pendulum system for human quiet standing

Content Provider	IEEE Xplore Digital Library
Author	Caihong Wang Jian Xu
Copyright Year	2014
Description	Author affiliation: Sch. of Aerosp. Eng. & Appl. Mech., Tongji Univ., Shanghai, China (Jian Xu) \|\| Shanghai Publishing & Printing Coll, Shanghai Publication & Media Res. Inst., Shanghai, China (Caihong Wang)
Abstract	A time delay double inverted pendulum model is built to represent a human in quiet standing postural control. A linear stability analysis for the trivial equilibrium is firstly considered. A delay-induced supercritical Hopf bifurcation happens at critical time delay point. The bifurcating periodic solution is calculated analytically by using the method of multiple scales. The reaction speed of brain, namely, the time delay is considered as bifurcation parameters to investigate the effect on the dynamical behaviors when human quiet standing. It shows that a person with slow reaction is easy to lose the stability of his/her quiet standing. The validity of the theoretical analysis is shown by their consistency with the numerical simulation.
Starting Page	477
Ending Page	481
File Size	227565
Page Count	5
File Format	PDF
e-ISBN	9781479954582
DOI	10.1109/ICSAI.2014.7009335
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-11-15
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Quiet standing Delay effects Bifurcation Numerical simulation Stability analysis Double inverted pendulum model Time delay Mathematical model Hopf bifurcation Hip Numerical stability
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Stability and Hopf bifurcation analysis in a delay Swarms model

Hybrid control of Hopf bifurcation in a two prey one predator system with time delay

Simulation model of human individual in quiet standing based on an inverted pendulum with fuzzy controller

Hopf bifurcation analysis for a model of RNA silencing with two delays

Stability of a double inverted pendulum model during human quiet stance with continuous delay feedback control

Dynamics of an Inverted Pendulum with Delayed Feedback Control

Research on Hopf bifurcation of cortical column model with time delay

Anti-Control of Hopf Bifurcation for Eco-Epidemiological Model with Delay

Stability and Hopf Bifurcation in a Generalized Prototype Delayed System

Delay-induced Hopf bifurcation in the double-link inverted pendulum system for human quiet standing

Similar Documents

Stability and Hopf bifurcation analysis in a delay Swarms model

Hybrid control of Hopf bifurcation in a two prey one predator system with time delay

Simulation model of human individual in quiet standing based on an inverted pendulum with fuzzy controller

Hopf bifurcation analysis for a model of RNA silencing with two delays

Stability of a double inverted pendulum model during human quiet stance with continuous delay feedback control

Dynamics of an Inverted Pendulum with Delayed Feedback Control

Research on Hopf bifurcation of cortical column model with time delay

Anti-Control of Hopf Bifurcation for Eco-Epidemiological Model with Delay

Stability and Hopf Bifurcation in a Generalized Prototype Delayed System

Delay-induced Hopf bifurcation in the double-link inverted pendulum system for human quiet standing