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Keywords: pitchfork bifurcation
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Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2024, 19(9): 091004.
Paper No: CND-24-1042
Published Online: July 25, 2024
..., and hydrodynamic loads, all of which are incorporated into the system dynamics. The nonlinear static behavior and stability of the pendulum have been characterized by analyzing the fixed points. It is found that Pitchfork bifurcation governs the relationship between the rod density (the control parameter...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2019, 14(10): 101008.
Paper No: CND-18-1447
Published Online: September 9, 2019
...-mail:  james.chagdes@miamioh.edu 03 10 2018 16 01 2019 09 09 2019 human upright posture stability balance board numerical nonlinear analysis Hopf bifurcation pitchfork bifurcation DDE-BifTool® Balance boards (BBs) are surfaces that rotate with their center of mass (CoM) located...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2014, 9(3): 031004.
Paper No: CND-13-1061
Published Online: February 13, 2014
... drive the system to be more complex or even unpredictable. An alternative criterion is proposed to investigate the pitchfork bifurcations of the limit cycle of relay feedback systems in this paper. The proposed critical criterion is explicitly formulated by the coefficients of the characteristic...